CN110074878A - For designing the method and system of orthodontic appliance - Google Patents

Abstract

Disclose the design method of the orthodontic appliance for at least tooth of patient to be moved to the second disposition stage from the first disposition stage, comprising: receive the first position of at least one tooth of the patient at the first disposition stage；Determine the second position of at least one tooth of the patient at the second disposition stage after the first disposition stage；Determine the motion-vector for being used for tooth movement of the second position an at least tooth to be moved at the second disposition stage from the first position from the first disposition stage；Force component is determined from motion-vector, is configured as tooth is mobile from first position towards the second position；Orthodontic appliance shape is designed based on through determining force component, so that when with the appropriate location through the associated practical orthodontic appliance of design orthodontic appliance shape in patient teeth, it, which applies, is determined force component to an at least tooth, at least will be moved to the second position from first position by a tooth according to motion-vector is determined.

Description

For designing the method and system of orthodontic appliance

The application is divisional application, and it is 2009 that original bill application, which is application No. is PCT/US2009/032335, the applying date, 29 days 01 month PCT application and entered National Phase in China on 09 20th, 2010, application No. is 200980109983.X, Entitled " method and system for optimizing dental aligner geometry ".

Technical field

The present invention relates to computer correction art and dentist's arts.

Background technique

In the treatment of correction art, patient teeth is moved to final position from initial position using various utensils.Utensil To tooth applied force, one or multiple teeth or the suitable position for holding it in treatment stage are moved whereby.

The movement of correction art is caused because of the one-one relationship between tooth position and utensil, and mechanism is: by tooth " crowded " It at new shape and is held in place, thus tooth is allowed to have time enough to adapt to new position and then secondary repetition this process, The different treatment stage teeth for the treatment of plan can be moved gradually.

In one-one relationship between current treatment status and succeeding target or n+1 treatment stage, dental instrument is fitted It should may include the reciprocation between plastic cement and geometric shapes of teeth, the reciprocation is for realizing n+1 tooth position not most It is good and the reciprocation is not included in the considering of the one-one relationship usually.For biggish tooth moving distance, especially It is in this way, the deflection of utensil can lead to stretching and stress in utensil in the case of larger tooth moving distance, therefore, Some regions of rectifier are not nearly contacted with the key area of tooth and/or desirable region.Therefore, it is impossible to by tooth It is moved to desirable target position.In addition, tooth may be contacted for reaching desirable or target position there is also reverse effect Generate counteractive region.

In addition, dentistry attachment is mainly used for changing the geometry of corona, to ensure preferably to hold toilet article, such as along desirable The rectifier in mobile direction.In general, this waits attachmentes to provide " protrusion " or " undercut " in the vertical surface of tooth, Otherwise toilet article are difficult to hold tooth.

Realize tooth desirable movement existing method include: during the current location or the position n for the treatment of stage, according to The next position or the position n+1 of plan manufacture toilet article and place it on tooth.Typically, it will be assumed that, toilet article or If (it is the tooth because being positioned for the tooth position of toilet article production with toilet article for power caused by the deformation of its stem portion and torque Difference between the position of tooth and caused by) tooth can be caused to be moved in next planning location in treatment stage.

However, in practice, dentistry attachment no matter whether is used in the treatment, the orientation of generated power and torque all may be used It can be not along the direction of set tooth movement.In addition, can come only for corona without considering root of the tooth or other anatomical structures Sequencing configures current tooth movement.It is mobile that root of the tooth or other anatomical structures can hinder corona, and makes the centre of draft Downwards in dentale slot.In general, what is formed by the power for acting on corona may to the non-advantageous torque of the centre of draft It can not balance easily.In addition, the deformation of toilet article is gradually reduced, so that being applied as the tooth during therapeutic process is mobile Power also with decrease.

Summary of the invention

In one embodiment, provided method and apparatus include: the initial position of established tooth；Determine that tooth is being treated Target position in the works；It calculates and the mobile associated motion-vector of the tooth from initial position to target position；Determining pair It should be in the associated multiple components of motion-vector；And determine one or more accordingly attached devices relative to tooth table plane One or more corresponding positions, so that the one or more attaches device and is meshed with toilet article.

Attachment used herein can be any type of material that may be attached to tooth, or the pre- shape using template At, or it is pre-formed with amorphous form, it is attached to the surface of tooth.Binding material can be used that the attachment is set to tooth table On face, or it can be set on dental surface using binding material itself as attachment.

After refering to embodiment of the present invention and attached drawing, these and other feature and advantage of the invention can be understood.

Detailed description of the invention

Figure 1A shows an illustrative dentistry data digging system；

Figure 1B shows the performance evaluation of one or more toilet article；

Fig. 1 C shows various mobile model data used in a data digging system embodiment；

Fig. 1 D shows the performance evaluation of one or more toilet article；

Fig. 1 E-1F shows each embodiment of the cluster to generate treatment plan；

Fig. 2A is the flow chart according to the present invention for stating clearly therapeutic process comprising for calculating the sub- mistake of rectifier shape Journey；

Fig. 2 B is the flow chart for calculating rectifier shape；

Fig. 3 is the flow chart for establishing the subprocess of finite element model；

Fig. 4 is the flow chart for calculating the subprocess of rectifier variation；

Fig. 5 A is the flow chart for calculating the subprocess of rectifier change in shape；

Fig. 5 B is the flow chart for calculating the subprocess of rectifier change in shape；

Fig. 5 C is the flow chart for calculating the subprocess of rectifier change in shape；

Fig. 5 D is the schematic diagram of the operation of schematic thinking 5B subprocess；

Fig. 6 is the flow chart for calculating the process of shape of several groups rectifier；

Fig. 7 is the illustrative chart for counting root model；

Fig. 8 shows the illustrative chart of root model foundation；

Fig. 9 shows the illustrative chart of the CT scan of tooth；

Figure 10 shows illustrative user's interface of display tooth；

Figure 11 A-11B illustrate respectively with positioning after toilet article initial tooth positions and non-desirable power obtained to Amount；

Figure 11 C-11D illustrate respectively to toilet article add relief with to periodontal non-desirable force vector formed reaction, And the desirable predetermined force that toilet article obtained apply tooth；

Figure 12 illustrates modified toilet article geometry, modified including additional shape with remove toilet article and tooth it Between gap；

Figure 13 illustrates the geometric shape that toilet article are constructed based on the scan geometry of tooth treatment plan；

Dentistry attachment positioning of Figure 14 A-14B diagram for rotating tooth；

Figure 15 diagram is for making the inclined dentistry attachment positioning of tooth；

Figure 16 diagram is for making tooth form the dentistry attachment positioning of angle；

Figure 17 A-17B illustrates the dentistry attachment positioning for buccal surface translation and lingual surface translation respectively；

Figure 18 A-18B illustrates the dentistry attachment positioning for closely middle translation and remote middle translation respectively；

Figure 19 A-19B is illustrated respectively for dentistry attachment positioning that is prominent and pushing；

Figure 20 illustrates the complementary engagement of toilet article and attachment；

Figure 21 is the flow chart of graphical optimization toilet article geometric shape；

Figure 22 is the flow chart for illustrating the positioning of dentistry attachment；

Figure 23 is illustrated makes tooth move preset distance along predetermined direction based on being calculated effective dental surface The flow chart of method；

Figure 24 is that diagram determines the need for attachment thus to obtain the flow chart of the method for tooth abundance effective surface area；

Figure 25 is the flow chart for calculating the process of toilet article shape；

Figure 26 shows track of the corona point from the first stage to second stage；

Figure 27 shows the active surface and non-resistant surface of tooth；

Figure 28 demonstration increases the effective area of tooth by addition attachment；And

Figure 29 shows the section of the tooth with attachment and rectifier (it has the carinate part for being matched with attachment).

Specific embodiment

Now, three-dimensional orthodontic treatment plan tool (among other things, such as AlignTechnology, the software of Inc. or can The other software bought from eModels and OrthoCAD) make it possible numerical digit treatment plan.These technologies allow clinical Doctor uses actual patient dentition as the starting point of custom treatment plan.On August 21st, 1 the U.S. proposed Institute in patent application serial no 10/640,439 and on August 22nd, the 2002 U.S. patent application case serial numbers 10/225,889 proposed The original numerical digit treatment plan discussed, the software technology bought from Align Technology company are using the number for being directed to patient Bit model formulates treatment plan, then scans realized treatment results or actual treatment results carry out " controlling for assessment result Treat success ".The problems of numerical digit treatment plan and outcome evaluation are data redundancies, and are lacked with individual patient water The standard and effective method of flat assessment treatment Degree of Success.Information is analyzed using dentistry data digging system.

Figure 1A shows an illustrative dentistry data digging system.Within the system, dental treatment data set and number of results It is stored in database or information bank 2 according to collection 1.Data mining software 3 extracts data, thus generates result 4.Data mining software It can inquire the information for capturing and/or updating in database 2, and can produce related to patient's odontopathy and toilet article solution Output stream.Note that is most beneficially, can be using the output of data mining software as subsequent input with self-reflection side Formula is fed at least database and data mining relevance algorithms.

The data digging system of Figure 1A the result is that for define utensil configuration or define utensil configuration change, with gradually Ground moving teeth.Mobile tooth is usually movement associated with orthodontic treatment, including all translation of three orthogonal directions, tooth Tooth center line along two orthogonal directions rotation (wherein rotation axis is perpendicular to vertical center line) (" root angulation " and " torque "), with And tooth center line is along the rotation (its central axes is parallel to vertical center line) (" pure rotation ") in correction direction.

In one embodiment, it the data digging system capture movement of 3-D treatment plan, initial position and finally realizes Tooth position.The system compares result with plan, and any treatment method can be used to realize this as a result, the treatment methods such as this It include: that removable utensil and fixed utensil (such as orthodontic brackets and steel wire) or even other dental treatments (are tied as will be realized Fruit carries out correction operation, periodontal disease therapeutic and restorative treatment compared with plan).

In one embodiment, tooth overlapping tool is the treatment archives to match each tooth dental arch scanning.It refines and sweeps It retouches (subsequent progress) to overlap on preliminary sweep, to reach matching based on anatomical dental structure and toothholder mark system.In two teeth After tooth matching in bow, superimposition facilities need reference to connect arcus dentalis superior and inferior dental arch.When selection option " system When meter filtering ", overlapping tool measures the amount of movement of each tooth by such as under type: first removing amount of movement as reference and is greater than mark Quasi- deviation and the tooth for being higher or lower than whole tooth rolling average amounts is mobile (by the position between current generation and previous stage Difference determines).Then, remaining tooth is selected to measure the movement of each tooth as reference.

Figure 1B shows the performance evaluation of one or more toilet article.In scatter diagram, relative to " target " it is mobile draw out institute " The movement of realization ", and generate Trendline.Display " distribution " figure is in figure to demonstrate the position of " distribution " data point, and generates trend Line is to show the performances of toilet article.In one embodiment, Trendline is selected as linear trend (it can be curve)；In this way, trend Line is the best-fitting straight line of all " distribution " data.The performance of rectifier is expressed as the slope of Trendline.Y intercept is simulation The accidental movement occurred when wear corrective device.Predictability is measured by R2, and R2 is by " realization " data and " mesh The recurrence of mark " data is calculated and is obtained.

Fig. 1 C shows various mobile model data used in a data digging system embodiment.Exemplary data collection covers Lid: expansion/contraction (+/- X translation), it is close in/it is remote in (+/- Y translation), push (- Z translation), protrude (+Z translation), toppling over/at Angle (X rotation), torque/inclination (Y rotation) and pure rotation (Z rotation).

Fig. 1 D shows the performance evaluation of one or more toilet article.For type of sports shown in Fig. 1 D, the fortune realized Dynamic is about the 85% of the target movement of the specific set of data.

As significantly shown in Fig. 1 D, at all multistages, actual tooth is mobile generally all to lag behind target tooth It is mobile.In the case of being treated by the polymer utensil of concatenation, this kind lag plays an important role in treatment design, This is difference due to both tooth movement and negative results (discomfort of patient) are certain to the difference with difference degree.

In one embodiment, by the statistic bias for considering target tooth position Yu actual teeth position, such as step 170 Clinical parameter in (Fig. 2A) and step 232 (Fig. 2 B) is just more accurate.For example, not realized sufficiently since current target is mobile Calculating probability it is very big, therefore subsequent mobile target can be reduced, thus cause the subsequent movement stage that need to complete as previous stage Set workload.Similarly, target movement may especially surmount desired locations in previous stage, so that expected practical shifting It is dynamic more preferably to be controlled.The embodiment sacrifice minimizes the target for moving back and forth the time, realizes target end stage to exchange for As a result high probability.This method is reached in treatment plan for the groups of several similar patient cases.

Table 1 shows the tooth grouping in an embodiment.The mobile notation convention of tooth is indicated in table 2.In table 3 selected by demonstration The different dental of 60 dental arch is mobile, and wherein performance is with sort in descending order.Utensil performance can be divided into 4 individual group: height (79- 85%) it, is averaged (60-68%), lower than average (52-55%) and insufficient (24-47%).Table 4 shows mobile predictability Ranking.Predictability is divided into 3 groups: high predictability (0.76-0.82), predictability (0.43-0.63) and unpredictability (0.10-0.30).For specific data set, for example, result of study is as follows:

Front tooth pushes and labial teeth pushes performance as high-performance.The range that front tooth pushes is about 1.7mm, and the model that labial teeth pushes Enclose about 1.7mm.These movement predictabilitys are high.

Canine tooth pushing, front tooth torque, front tooth rotation and labial teeth torque performance are average behavior.Canine tooth push range be about 1.3mm, the range of front tooth torque are about 34 degree, and the range of front tooth rotation is about 69 degree, and the range of labial teeth torque is about 34 degree. This is equal mobile or is predictable, or is high predictive.

During bicuspid is toppled over, bicuspid is close, molar rotates and backteeth spreading performance is lower than average.Double pointed axiomesial range About 1 millimeter, the range that bicuspid is toppled over is about 19 degree, and the range of molar rotation is about 27 degree, and the range of backteeth expansion is about It is 2.8 millimeters.It is unpredictable movement that bicuspid, which is toppled in close with bicuspid, and remaining is predictable movement.

Labial teeth and front tooth be prominent, knuckle-tooth and bicuspid rotation, during canine tooth is toppled over, molar is remote and backteeth torque performance is not Sufficient performance.Labial teeth range outstanding is about 1.7 millimeters, and front tooth range outstanding is about 1.5mm, and the range of knuckle-tooth rotation is about 67 The range of degree, bicuspid rotation is about 63 degree, and the range that canine tooth is toppled over is about 26 degree, and the range during molar is remote is about 2 millimeters, and The range of backteeth torque is about 43 degree.In addition to bicuspid rotation is predictable mobile (but its performance generated is lower), own The grade movement is all unpredictable movement.

Table 1

Table 2

Table 3

Table 4

It in one embodiment, can maintenance data driving analyzer.The grade data driven analysis device may include a variety of models, such as Parameter statistical model, nonparametric statistics model, cluster models, closest model, homing method and (artificial) mind of engineering design Through network.Before operation, data driven analysis device or model are established using one or more training dialogue.To this etc. The data that analyzer or model are established in reply are commonly known as training data.Due to being by the mode for only checking training example To develop data driven analysis device, thus the accuracy and for selecting to influence data driven analysis device of training data significantly Practise speed.The mode used before a kind of can generate the independent data set referred to as the test set of training goal.The test set With the overfitting to avoid model or analysis and training data.Overfitting refers to that analyzer excessively stores training data, with Cause the invisible data that can not be fitted or classify in it.Typically, during the construction of analyzer or model, test set pair is utilized The performance of analyzer is tested.Repeatedly implement the selection of analyzer or model parameter, until analyzer to test set into Until the performance that row sorts out aspect reaches Best Point.At this point, training process is completed.As using replacing for stand-alone training and test set For the method that scheme is using referred to as cross validation.Cross validation is available to determine parameter value for coefficient analyser, or is non-ginseng Number analyzer determines model.In cross validation, a training dataset is selected.Next, by repetitive process to point Parser submits the different piece of the training data as test set, thus establishes multiple and different analyzer or model.Then, base In all models or the composite behaviour of analyzer, parameter or model structure are determined.According to cross validation method, normally, use Determining best model structure is again trained analyzer or model with data.

In one embodiment, data mining software 3 (Figure 1A) can be number of the crawl for index on database 2 (Figure 1A) According to " spider " or " crawler ".In one embodiment, implement group operation with the mode in detection data.In another embodiment In, each mode is recognized using neural network, this be because of neural network in terms of recognizing dental treatment mode have it is very strong Strong property.Once treatment feature is characterized, then neural network will be known to the dentistry information of input and neural network identifier The storage template for treating vocabulary compares.Among other things, model is recognized can include: concealed markov model (Hidden Markov Model, HMM), dynamic programming model, neural network, fuzzy logic or template matcher.This etc. Model can be used alone or can be used in combination.

M " frame " (frame) all possible paths via N number of point are contemplated in dynamic programming, to reach from any To the transition of any point j of any point i to next frame k+1 of framing k, specified cost need to be paid.Since current point is to next The optimal path of point ends at the minimum in the path of j (k+l) always independently of the event occurred other than the point, thus via i (k) Body cost [i (k), j (k+l)] is that the cost of its own transition adds the cost towards the shortest path of i (k).Preferably, it can incite somebody to action Precursor path values are stored in M N array, and accumulative cost can be stored in 2 × N array so as to comprising previous possible Adjacent column and accumulative cost when forefront.However, this method needs comparable computing resource.

Dynamic programming requires huge calculation amount.To find identifier between frame sequence and nodal analysis method sequence most Good time alignment must be referred to multiple nodal analysis methods and most of frames be compared.Calculating needed for reducing dynamic programming A kind of method of amount is using trimming.If the local probability value of the comparison is lower than given threshold value, trimming can be terminated referring to given It treats model and dynamic programming is carried out to the given part of dental treatment information.This will greatly reduce calculating.

Concealed markov model is considered to be the general of dynamic programming and summarizes, and in a preferred embodiment, use is hidden Concealed markov model come evaluate observation sequence O (1), O (2) ..., O (t) ..., the probability of happening of O (T), wherein each observation O It (t) can be for according to the discrete symbols of VQ method or can be vector row.It can be lower part Marko husband by the model foundation of observation sequence The probability function of chain (it has the indirect status transition observed).

In the preferred embodiment, using markov model, to establish the model of the probability for the treatment of observation sequence.Between state Transition indicated by transition matrix A=[a (i, j)].The each single item a (i, j) of transition matrix is to be in state i in the model The probability to the transition of state j is realized under situation.The output symbol probability of the model by collection of functions B=[b (j)] indicate, wherein The item b (j) of output symbol matrix is in the case of model is in state j to return to output observation O when designated value O (t) evaluation (t) function of probability.The first state is confined to the original state of the first time frame of Markov chain always, only extremely by a left side The regulation collection of right status transition is feasible.The definition of scheduled end-state can not be occurred to the transition of other states.

In one embodiment, transition is limited to re-enter one of state or entry into lower two states.This was waited It crosses and is defined as transition probability in a model.For example, the current treatment mode with the characteristic signal frame in state 2 is again defeated The probability for entering state 2 is a (2,2), and the probability of input state 3 is a (2,3), and the probability of input state 4 is a (2,4)=l-a (2,2)-a(2,3).The probability a (2, l) of the input state 1 or probability a (2,5) of input state 5 is 0, and probability a (2, l) to a (2,5) and be 1.Although flow chart is limited to current state or is limited to lower two states by preferred embodiment, it is familiar with this Operator can still limit establish HMM model by more flexible transition, but the whole of the transition from the generation of any state is general Rate and still be 1.

In each state j of model, current signature frame can be identified by one of predefined output symbol concentration, or It is marked in a probabilistic manner.In this case, it is O that output symbol probability b (j) (O (t)), which corresponds to characteristic frame symbol, (t) probability that model is assigned.The arrangement of model is matrix A=[a (i, j)] and calculating B=[b (j) (O of transition probability (t)) technology].

In one embodiment, markov model forms the mode for reference by multiple training mode sequences, and exports symbol Number probability is multivariate Gaussian function probability density.Dental treatment information is transferred through feature extractor.During study, obtained Feature vector tandem handled by parameter estimator, the output of the parameter estimator is provided to concealed markov model.It hides Formula markov model to reference pattern template set, each template representative referring to treatment mode word finder in an identification Mode.Next, using markov model referring to template, based on by the generation observation of each markov model reference pattern template Probability, in one that observation sequence is referred in reference pattern.During identification, then can by unknown pattern-recognition be The highest reference pattern of probability in possibility calculator.

HMM template has multiple states, and each state all has a discrete value.However, since treatment mode feature can With the dynamic mode in contrast to single value, thus in one embodiment, neural network is added at the front end of HMM can be with Dynamic value indicates each state.The input layer of neural network includes input neuron.In the output distribution to middle layer of input layer All neurons.Similarly, the output of middle layer is distributed to all output neurons, the inside of the equal output neurons and HMM State corresponds.However, each output all has relative to its own or relative to the probability that other are exported, therefore is formed and repaired The HMM changed.The each state for the HMM being consequently formed all can be in response to specific Dynamic Signal, thus obtains more strong HMM.Alternately, neural network can be used alone, without seeking help from the transition probability of HMM framework.

The output stream or result 4 of Figure 1A is used as feedback, thus improves the use of the design and/or doctor of toilet article to toilet article. For example, data mining results can be used to evaluate performance based on interim method, to be referred to based on treatment method to utensil performance Number compares, and thus compares different attachment shapes and position on tooth to evaluate performance.

It, thus can be due to can be for huge treatment results cohort studies for specific effect and properties of product of tooth The comparison of statistically significant is made between two or more case groups.If the Liang Ge group studied is in treatment method, device Tool design or manufacture agreement aspect have differences, then data export the difference side of being attributable in terms of properties of product presented Method, design or manufacture agreement.The final result is a kind of feedback mechanism, and clinician or manufacturer is enabled to be based on sample The quite huge performance data of size, using objectively can metric data come optimizing product design and use.

Orthodontic treatment theory does not reach unified understanding, and the limit of actual therapeutic and result by additional uncertain factor System, the uncertain factors such as this are that the measurement of patient's parameter and the relationship for the patient's parameter not measured and patient follow degree not Together.Therefore, the treatment plan that different clinicians may be preferably different for a patient.Therefore, a treatment plan can Can it not received by all clinicians, this is because without " correct " treatment plan for the unified receiving of owner.

By for clinician preference customization treatment parameter, next several embodiments may achieve clinician and The more preferably satisfaction of patient.The system is by with the treatment history of statistical observation clinician, thus probing therapeutic preference The difference of aspect.For example, clinician can implement a possibility that bicuspid is pulled out can not in the case of tooth is relatively crowded Together.Even if, still can be to other predictive variables (as when not having the abundant record about the passing treatment of given clinician Manage position, variable relevant to training or practise medicine experience and property) implement cluster, with the significance difference of statistical process treatment parameter It is different.

Data mining can find that different clinicians are directed to the statistically significant that can compare the different treatment results of patient's realization Mode.For example, the patient's case of cluster together can systematically be reduced concurrently relative to without using the clinician of Clustering Disease.The species diversity that Data Mining Tools are detected can be used as feeding back to the label of more insufficient clinicians of experience that practise medicine, And also act as the label that the treatment difference that it is used is implored to the veteran clinician that practises medicine.

In one embodiment, Clustering is used cooperatively with the case being previously completed, with to complication and result into Row classification.Then, risk probability model is established in each group.Then, the similitude based on variable before treating, by new case It distributes to identical group.Then, the risk in each patient group after the completion for the treatment of is used cooperatively with new case, with pre- Survey the risk for the treatment of results and complication.Then, high-risk patient is marked to cause to pay special attention to, possibly includes controlling Treat additional step in the works or additional clinical interference.

In another embodiment, practitioner's cluster is grouped according to the clinical treatment preference of observation, and is adjusted in each group Section treatment parameter is more nearly to meet observed treatment preference.Then, based on the group with known treatment history Known variables similitude assigns the practitioner of not observation history at several groups.

Fig. 1 E shows the exemplary process for cluster practice.Firstly, history pair of the process based on clinician treatment Treatment, which is practiced, carries out cluster (20) (as treated preference, result and demographic variable and practicing variable).Next, the system is built The vertical model (22) about the preferred clinical constraints in each group.Next, the system is based on demographic variable and practice The clinician of no treatment history is assigned to the group (24) in 20 by variable.In one embodiment, which is directed to The clinical constraints (26) of group independent implementation process 100 (A referring to fig. 2) in each group.In addition, the system can be with arrival New treatment data and result data and update group and group assigns (28).

Fig. 1 F shows that data digging system generates another embodiment of recommended therapy.Firstly, the system is based on detailed tracking Data, diagnosis, treatment parameter and result and demographic variable, identification/cluster have detailed tracking (such as multiple high-res Scanning) patient history (40).In each group, which is established about commitment positions and the reality by tracking data acquisition The model (42) of difference between position.In addition, the system establishes the risk model about special non-undesirable result in each group (44).At the second layer of cluster, it is based on obtainable variable, cluster has the patient history of less detailed tracking data.The Two layers of cluster has enough localities, thus each of greater number of second layer group can be assigned in 40 The group of calculating is regarded as new group (46).The system is by the addition record of the group from step 46 to step 42 Model refined (48).It can also refine to the model of step 44 by the addition record of the group from step 48 (50).At the third layer of cluster, then, which is based on diagnosis, demographics and initial physical inspection and assigns new patient To the group (52) of step 46.In the group of each step 52, which is established about between commitment positions and physical location It is expected that the model (54) of difference.From step 54, the system (232 including Fig. 2 B and 250) use at correlation is corrected Desired location information (67).In addition, the system is established about non-undesirable result risk model in the group of each step 52 (56).From step 56, the system is also to paying particular attention to and the case of clinical constraints is (such as the 204 and 160 of Fig. 2 B and 2A In) marked (69).Then, the treatment plan (58) of the custom group for each step 52 of the process.Next, this is System repeatedly collects data (61), and datacycle is back to identification/cluster patient history (40).In addition, can be carried out to group Correct and be reassigned (63).The system also continuously identifies the group without good image, to carry out additional tracking point It analyses (65).

In clinical treatment environment, is all obtained in tooth mobile possible each stage or handle the data of high-res simultaneously Non- cost-effective way.Such as:

Patient may use several utensils in each clinical medical period.

Some given patient may only provide one group of dental impressions.

The problem of radiation, may limit the number using CT or X-ray scanning.

The detailed spatial information of every tooth when the typically no time report of clinician is about each go to a doctor.

It is limited due to these and other, it is necessary to which treatment plan is designed based on local message.

In one embodiment, special by making patient and collection have the prediction between the representative sample of detailed tracking information Sign matches, the information that thus generally approximate expression is lost.In this case, estimated undesirable treatment results are based on, to trouble Person is marked to request tracking information, and additional dental impressions group is such as collected and analyzed.Then, using the information of acquisition with essence Change patient group and is then assigned to patient's treatment of group.

In general, scanning patient data using above-mentioned data digging system and analyzing data.The system proposes About the suggestion for the treatment of plan, ratify for dentistry practitioner.Dentistry practitioner is subjected to treatment plan or request to treatment plan It modifies.Once treatment plan is given the ratification, can start to manufacture utensil.

The generality process of Fig. 2A diagrammatic illustration process 100, process 100 is to define and generate reset utensil, with right Patient carries out orthodontic treatment.Process 100 includes the method that will be described, and process 100 is suitable for the device of the invention.Favorably Ground, the calculating step of the process are implemented as commonly using the computer program modules executed on numerical digit computer in one or more.

As initial step, mould or the scanning (110) of patient teeth or mouth tissue are first obtained.The step relates generally to pair Patient teeth and gum carry out modulus, and additionally or as another selection, can be related to wax sting, direct contact type scanning, x-ray at Picture, tomography, ultrasonic imaging and for obtaining position and machine about tooth, jaw, gum and other correction linked groups The other technologies of structure information.Derive digit data collection by the data obtained with this, the digit data collection represent patient teeth and The initial arrangement (that is, arrangement before treatment) of its hetero-organization.

The initial digit data set is handled to be segmented (step 120) each other to each organizational composition, this is initial Digit data collection may include the data two of the initial data from scanning operation and the surface model as derived from the initial data Person.Specifically, in this step, making the data structure of each corona of digit representation.Advantageously make the number of whole pair of tooth Bit model, including measurement or supposition hidden face and root knot structure and surrounding skeleton and soft tissue.

The desirable final position (that is, orthodontic treatment desirable and set final result) of tooth can be sentenced by clinician The form of side receives, and can be calculated and be obtained by basic correction principle, or can speculate (step by clinical prescription with calculation 130).By the specification about the desirable final position of tooth and the digital image of tooth itself, each tooth may specify most Final position set with morphology (step 140), to form complete tooth model at the desirable end (end) for the treatment of.One As for, specify the position of every tooth in this step.The step the result is that digit data structure collection, the digit data knot The modeled tooth of structure set representations is relative to the correction proper reset for assuming stabilizing tissue.Both the tooth and tissue are all expressed as Digit data.

After having the initial position and final position of every tooth, next, the process will define every teeth training Tooth paths.In one embodiment, global optimization is carried out to tooth paths, so that tooth is minimum with the most fast and amount of moving back and forth Mode it is mobile, to take tooth to its desirable final position from its initial position.(move back and forth is that tooth is closed along direction Any movement of any direction other than meaning final position.Sometimes, it is necessary to tooth can be allowed to move each other by moving back and forth It is dynamic.) tooth paths are segmented.The grade sections are calculated, so that each teeth training in section all keeps online Within the scope of the threshold limit of mild-natured shifting and rotational translation.By this method, the endpoint of each path-segments, which all may make up, clinically may be used Capable reset, and the summation of section endpoint constitutes clinically feasible sequence of tooth positions, so that from one in sequence Point not will lead to the collision of tooth to the movement of next point.

In one embodiment, by the preset value of the property based on utensil to be used, to linear and rotational translation Threshold limit is initialized.The data for patient can be used to calculate more particularly customized limiting value.Also utensil can be based on The result of calculating updates limiting value (step 170, being described later on), and utensil calculating can determine that along one or more teeth At the one or more points in path, utensil can be generated having the power in configuration to cannot achieve one or more after tooth and tissue Reset representated by a tooth paths section.By the information, the subprocess for defining segmented paths (step 150) can be recalculated Path or affected subpath.

In each stage of the process, and more particularly, in segmented paths are defined after, the process can with and general meeting With clinician's reciprocation (step 160) of responsible patient treatment.It can be used and be programmed to receive tooth position and model Client process and routing information from servo computer or servo progress (wherein constructing other steps of process 100) To construct the reciprocation of clinician.Advantageously, client process program, which turns to, allows clinician display position and path Animation, and allow clinician reset one or more teeth final position and the specified pact that will be applied to segmented paths Beam.If clinician makes these any changes, the subprocess (step 150) for defining segmented paths can be again carried out.

Segmented tooth paths and associated tooth position data be to calculate clinically receive utensil configuration (or The variation in succession of utensil configuration), utensil configuration will move in the step specified by path-segments along the treatment path of definition Dynamic tooth (step 170).Each utensil configuration represents the step that path is treated along patient.This is defined And calculate, so that each discrete location can then realize straight line tooth on the basis of the tooth position of previous discrete step realization Tooth movement or simple rotation, and so that reset amount needed for each step is related to the correction optimal force acted in patient's dentition Amount.As path definition step, the utensil calculate step also may include reciprocation and even include and clinician into Capable repeated interaction acts on (step 160).The operation for constructing the process steps 200 of the step hereafter will be more fully described by.

After utensil definition is computed, process 100 may proceed to manufacturing step (step 180), wherein manufacturing the process institute The utensil of definition, or the electronic information that can be used by manual processes or automated procedure or information of prining are generated, to define utensil structure Shape or the change for defining utensil configuration.

Fig. 2 B graphical analysis procedure 200, process 200 constructs should described in U.S. Patent No. 5,975,893 mentioned above The utensil of kind polymeric shells rectifier calculates the step (step 170) of Fig. 2A.The input of the process includes: initial correction device shape The desirable end configuration of the tooth of 206 end of shape 202, various control parameters 204 and current treatment path section.Other inputs It include: the numerical digit model of the tooth being located in jaw, jaw tissue model and about initial correction device shape and rectifier material Specification.Using the input data, about rectifier, tooth and tissue, (wherein rectifier is located in tooth for process foundation On) finite element model (step 210).Next, composite finite element model application of the process to rectifier, tooth and tissue Finite element analysis (step 220).The analysis can be run always up to reaching exit criteria, when reaching exit criteria, the process meeting Evaluation tooth whether reaches the desirable terminal position of current path section or whether its position is sufficiently close together desirable terminal position (step 230).If tooth does not reach acceptable terminal position, which can calculate new candidate rectifier shape (step It is rapid 240).If reaching acceptable terminal position, finite element analysis teeth training calculated is evaluated with determination Whether it is subjected to (step 232) in correction art.If not reaching acceptable terminal position, the process continue to carry out with Calculate new candidate rectifier shape (step 240).If grade movement acceptable and tooth in correction art arrived acceptable Position then compares current rectifier shape with the rectifier shape being previously calculated.If current shape is so far The shape is then stored as optimal candidate (step 260) so far by best solution (deciding step 250).If not In this way, being then stored in optional step as possible intermediate result (step 252).If current rectifier shape is current Until optimal candidate, then the process determines if to arrive acceptable degree (deciding step 270) well enough.If acceptable, Then exit the process.Otherwise, which continues, and calculates another candidate shape (step 240) for analysis.

The computer program application software that can be bought from numerous suppliers can be used to establish finite element model.It is real to establish Volume geometric model can be used Computer Aided Engineering Analysis (CAE) or computer aided design (CAD) program, can such as add sharp welfare certainly What the autodesk, inc. of sub- state sage Raphael boughtSoftware product.For establish finite element model and to its into Row analysis, can be used the program product of numerous suppliers, including: it can be bought from the CADSI of Hawkeye State Colville PolyFEM product, can be purchased from the Parametric Technology Corporation company of U.S. fiber crops state Waltham Pro/Mechanica simulation software, can be from the Structural Dynamics Research of Ohio Cincinnati The I-DEAS design software product bought at Corporation (SDRC) company and can be from Los Angeles The MSC/NASTRAN product bought at MacNeal-Schwendler Corporation company.

Fig. 3 shows that process 300, process 300 are to establish the finite element mould for the step 210 that can be used to implementation process 200 (Fig. 2) Type.The input of model foundation process 300 includes the input data 302 of description tooth and tissue and the input data for describing rectifier 304.The input data of description tooth 302 includes: the numerical digit model of tooth；The numerical digit model (if present) of rigid tissue structures； The specification of high viscosity fluid shape and viscosity establishes the mould for the matrix organization that embedded by tooth and tooth is connected Type；And the boundary condition on the non-moving boundary of designated model element.In one embodiment, which only wraps Include: the model of tooth, high viscosity are embedded in the model of substrate fluid and actually define the rigid container that modeling fluids are contained Boundary condition.It note that fluid behaviour can be different and different with patient group, such as the age is different and different.

Finite element model (the step 310) of the initial configuration of tooth and tissue is established, and at a high speed by the finite element model It is cached, to reuse (step 320) in process repetition later.When tooth and organize the limited of initial configuration When meta-model establishes completion, the finite element model (step 330) of polymeric shells rectifier is established.The input data packet of the model Include the making material of specified rectifier and the data (data input 304) of rectifier shape.

Then, calculating manipulation is carried out to model orthotic, so as on the modeling tooth that is placed in model jaw, to build Found the composite model (step 340) of rectifier in place.Optionally, to make rectifier, (including any tooth that is attached to is appointed What hardware) it deforms to which cooperation power required on tooth is calculated and is used as measuring connecing for specific rectifier configuration By the quality factor of property.Optionally, according to the probabilistic model based on step and other patient informations before treatment, to being used Tooth position estimated.However, establishing by such as under type and becoming about rectifier in a relatively simple alternative solution The model of shape: applying sufficiently large power to rectifier inside so that rectifier is large enough to cooperation on tooth；Model is corrected Device is placed in the model teeth in composite model；The condition of model teeth and tissue is set as infinitely rigid；And allow mould Type rectifier loosely enters in the position on fixing teeth.The model about rectifier and dental surface is established, so that should Reciprocation at stage does not rub, so that the correct initial configuration on orthotics models implementation model tooth, later Start finite element analysis to find the solution about composite model and calculate tooth under the influence of by deformation straightening device Movement.

Fig. 4 show process 400, process 400 be by calculate can be in the rectifier of the step 240 of process 200 (Fig. 2 B) based on Next rectifier shape used in calculation.Next candidate rectifier shape is calculated using various inputs.The grade inputs include: by Data defined in the input of data caused by the finite element analysis solution of composite model 402 and current tooth path 404.The data 402 as derived from the finite element analysis include: that elapsed time amount used in tooth emulation reset occurs；The analysis institute The actual end tooth position of calculating；It is applied to the maximum linear power and twisting resistance of each tooth；The maximum line speeds of each tooth Degree and angular speed.Input data 404 from input routing information includes: the initial tooth positions of current path section；Currently The desirable tooth position of path-segments end；The maximum allowable shifting speed of each tooth；And the maximum of each tooth permits Perhaps every kind of power.

If the rectifier of previous evaluations is it is found that violate one or more constraints, process 400 is optionally using additional Input data 406.The data 406 may include to identify previous evaluations rectifier violate constraint and any identification it is sub-optimal The information of performance.In addition, process 400 is usable related defeated with the constraint that previous dental instrument is violated and next best performance Enter data 408.

(step 420) after original input data is received, which can carry out weight about the removable tooth in model Multiple operation.(some teeth may be identified and be constrained to irremovable.) if labial teeth worked as by previously selected rectifier selection The terminal position and dynamics of tooth movement are acceptable (" certainty " branch of deciding step 440), then the process will continue to Next tooth (step 430) is considered in selection, until all teeth are considered (" completion " branch from step 430 to step 470 Road).Otherwise (" negativity " branch from step 440) calculates change (step of the rectifier in currently selected tooth regions 450).As described in Figure, then which back moves to select next current dental (step 430).When all teeth all pass through When considering, the whole change (step made to rectifier is evaluated referring to the constraint (example has mentioned stating above) of previous definition 470).It can refer to and various other consider (such as manufacturability) to define constraint.For example, can be setting rectifier by constraint definition The maximum or minimum thickness of material, or maximum or minimum vertex-covering degree of the setting rectifier on corona.If meeting rectifier constraint, Then application changes to define new rectifier shape (step 490).Otherwise, the change of rectifier is revised to meet constraint (step It is rapid 480), and application revision change to define new rectifier shape (step 490).

An embodiment (step 450) for the step of rectifier in Fig. 5 A GRAPHIC CALCULATION current dental region changes. In this embodiment, using rule-based inference engines 456 with handle previously described input data (input 454) and One group of rule 452a-452n in rule base 452.Inference engines 456 and rule 452 define generation system, which works as One group of output conclusion can be generated when applied to true input data, group output conclusion can be specified to rectifier in current dental area Change (output 458) in domain.

Regular 452a...452n has traditional two parts form: one defines the condition part of condition；And one Condition defines the conclusion part of asserted conclusion or movement in the case of meeting.Condition can be simple condition, or can be Multiple complex logic conjunction asserted or logical disjunct.The illustrative rule group for defining the change made to rectifier includes such as Under: if teeth training is too fast, it is in reverse to the desirable direction of movement, adds driving material to rectifier；If teeth training is excessively slow, Add driving material then to carry out overcorrect to tooth position；If tooth clutch is anticipated, too far, addition carried out school to terminal position Positive material；If tooth moves out desirable terminal position too far, addition keeps rectifier hard in tooth and the rectifier place of meeting The material of change；If the driving quantity of material of addition reaches maximum, the material resetted to overcorrect tooth is added without adding Drive material；If the movement of tooth is removed and is added redirect tooth along the direction other than desirable direction Material.

In an alternate embodiment shown in Fig. 5 B and 5C, be calculate rectifier absolute configuration, and and it is non-computational Increment difference.As shown in Figure 5 B, process 460 calculates absolute configuration of the rectifier in current dental region.Use institute above The input data stated, the process are the difference calculated between the terminal position that desirable terminal position and current dental are realized (462).As a reference point using tooth center line and the crosspoint of gingiva tissue horizontal plane, which calculates all 6 movements Difference magnitude of recruitment (the step 464) of (that is, three translation degree and three degrees of rotation) in freedom degree.Next, as shown in Figure 5 B, Amount (step 466) of the model teeth from its desirable terminal position displacement up to supplement difference.

Fig. 5 D shows plan view of the explanatory model rectifier 60 on explanatory model tooth 62.The tooth is located at it Desirable terminal position, and rectifier shape is defined by the tooth in the terminal position.It is shown in figure, finite element analysis is calculated Tooth actual motion is to be placed in tooth in position 64, rather than be placed in desired locations 62.To the benefit for calculating terminal position It fills and is shown as position 66.During the repetition of the process, the next step of process 460 (Fig. 5 B) is according in the one before step (466) The position of the displacement model teeth (step 468) of calculating defines the rectifier in current dental region.Labial teeth will be worked as in Fig. 5 D The rectifier configuration calculated in tooth region is shown as the shape 68 defined by the reset model tooth in position 66.

Also another step that 452 (Fig. 5 A) of rule can be built into process 460 is shown in Fig. 5 C.To make current dental edge The direction of center axis thereof is mobile, then allows the model teeth size for defining rectifier region or in dental aligners Amount of space is made to smaller, determines in the process from the region (step 465) of its moving teeth.

As shown in Figure 6, the process 200 (Fig. 2 B) of rectifier shape is calculated in process for a step in treatment path The step of being an a series of rectifier shape of calculating in 600.The process 600 starts from initialization step 602, wherein obtaining just Beginning data, controlling value and binding occurrence.

When finding out each step or treating the rectifier configuration (step 604) of each section in path, process 600 is determined Whether all rectifiers are acceptable rectifier (step 606).If certainty as a result, then the process is completed.Otherwise, the process One group of step 610 can optionally be taken, it is intended to calculate one group of acceptable rectifier.Firstly, loosen to one of rectifier or Multiple constraint (steps 612).Then, for each path-segments with unacceptable rectifier, come through new constraint real Apply process 200 (Fig. 2 B) (step 614) of determining rectifier shape.If all rectifiers all become acceptable, process is exited 600 (steps 616).

Rectifier can become unacceptable rectifier because of a variety of causes, and some of reasons are handled by the process.For example, If it is desired to any infeasible movement (deciding step 620), that is, if it is desired to which shape calculating process 200 (Fig. 2 B) realizes that some does not have There is the movement of any applicable rule or available adjustment, then process 600 can execute a module in turn, which can calculate receptor tooth The hardware attachment of tooth is configured, and thus power can be applied to this receptor tooth to realize required movement (step 640).Due to addition Hardware can have the effect of it is more local, therefore when hardware is added to model, the outer loop of implementation procedure 600 again (step 642).

If simultaneously any infeasible movement (" negativity " branch of step 620) of failed call, process transfers control to road Diameter definition procedure (such as step 150) of Fig. 2A, to redefine the they part with unacceptable rectifier in treatment path (step 630).The step can include: change the increment (that is, changing the segmentation on treatment path) of teeth training, change treatment road One or more teeth are followed in diameter path or the rwo.It is redefined and then secondary execution mistake in treatment path Outer loop (the step 632) of journey.Advantageously, this, which is recalculated, is confined to only to recalculate treatment path and redefines part On rectifier.If all rectifiers all become acceptable rectifier, the process (step 634) is exited.If there are still can not The rectifier of receiving then repeats the process, until finding one group of acceptable rectifier or more than the duplicate limit (step 650).It is described at other points in the specification at this point and durings the grade and (is such as calculating additional hardware (step 640) place), which can be with operator (such as clinician or technician) reciprocation with the (step 652) that requests help.Behaviour The available help of author can include: definition selects the suitable attachment for being attached to tooth or bone；Define additional moulding member Part provides required power with one or more sections for treatment path；It is recommended that change treatment path, or the movement of change tooth The segmentation in path or change treatment path；And a certain deviation or loosening operation constraint of approval operation constraint.

As mentioned above, process 600 defines and parameterizes (step 602) by each input data item.In an embodiment party In case, the initialization and definition data include following every: the repetition maximum of the outer loop of overall process；About quality factor Specification, quality factor is computed to determine rectifier whether good enough (B referring to fig. 2, step 270)；About rectifier material Specification；It must satisfy about rectifier shape or configuration as acceptable constrained qualification；About power and positioning movement and speed It to be acceptable specification in correction art；Initial treatment path comprising the motion path of each tooth and path will be treated It is divided into the segmented mode of several sections, wherein each section is reached by a rectifier；Be mounted on tooth about any or The shape of anchor log on other objects or the specification of position；And the model rule of the jawbone locating for tooth and its hetero-organization (in the embodiment, model adhesive matrix fluid model embedded by tooth is constituted model, and the adherent base mass flow Body has the boundary condition for substantially defining fluid container).

Fig. 7 is the illustrative chart for counting root model.As shown in the figure, using above-mentioned scanning process, sweeping for tooth is identified Retouch upper part 701.Then, to the 3D root of the tooth modeled in scanning top (including corona) supplement.It can be established and be closed with statistical In the 3D model of root of the tooth.The 3D model of root of the tooth 702 and the 3D model on top 700 are formed together the complete 3D model of tooth.

The illustrative chart for the root of the tooth modeling that Fig. 8 display is enhanced using additional dentistry information.In fig. 8, it adds Dentistry information be X-ray information.The X ray image 710 of tooth is scanned, to provide the 2D view of complete teeth patterning Figure.The profile of target tooth is identified in X ray image.According to additional information, the model 712 formed in Fig. 7 is modified.It is real one It applies in example, the tooth model of Fig. 7 is through modality conversion, to form the new model 714 being consistent with X-ray data.

Fig. 9 shows the illustrative chart of tooth CT scan.In this embodiment, it is directly swept by the high-res CBCT of patient Retouch export root of the tooth.Then, the root of the tooth of scanning can be applied to the corona as derived from stamp, or can by the root of the tooth of scanning with from cone-beam The existing corona that CT Scan (CBCT) data are extracted is used together.CBCT single sweep operation can provide 3D data and a variety of The class X-ray data of form.Avoid PVS stamp.

In one embodiment, cone-beam X-ray source and 2D area detector are by any pair of patient's tooth in various methods Section's anatomical structure is scanned (being scanned in 360 degree of angular regions and its in whole length), in the various sides In method, regional location detector is fixed relative to x-ray source, and scanning is by opposite turn between x-ray source and object Dynamic and translational movement is to provide (radiation source is irradiated object).Since cone-beam source is relative to multiple sources along scan path The movement of position (that is, " visual angle "), detector can obtain corresponding multiple cone beam projection sequential data sets and (be also referred to as herein Cone beam data or data for projection), each cone beam data collection is represented by object X-ray caused by wherein one corresponding source position Decaying.

Figure 10 shows illustrative user's interface, which shows in another embodiment can be aobvious with root information The germinating tooth shown.Suitable handle can be used individually to adjust each tooth.In the embodiment in figure 10, handle allows Operator allows tooth to move in three dimensions with six-freedom degree.

Partly, tooth movement is oriented to using the ordering system based on root of the tooth.In one embodiment, movement be by Surface area constraint constrains, and in another embodiment, movement constrained by volume constraint.

In one embodiment, which determines the surface area of each tooth model.Then, the system is to whole to be moved The all surfaces product of tooth model is summed.Next, all surfaces product of the system to whole tooth models on dental arch It sums.The each stage mobile for tooth, the system can check in moving teeth model scheduled area ratio or about Beam is met.In one embodiment, which can are as follows: the surface area of moving teeth is less than support tooth on the move Tooth total surface area on dental arch.If the ratio is greater than special value (such as 50%), which indicates mistake letter to operator Number, which should be moved more slowly with instruction.

In another embodiment, which determines the volume of each tooth model.Then, the system is to whole on the move The volume of tooth model is summed.Next, the system determines that the total volume of whole tooth models on dental arch is summed.It is right In tooth mobile each stage, which can check that predetermined volume ratio or constraint are met when tooth model is mobile.? In one embodiment, which can are as follows: the volume of moving teeth is less than whole teeth on the dental arch for supporting mobile Tooth Volume.If the ratio is greater than special value (such as 50%), which indicates error signal to operator, should be relatively slow with instruction Move the tooth in ground.

Optionally, other features can be added to tooth model data sets to generate the desired features in rectifier.For example, Desirable situation may be addition numerical digit wax patch to define chamber or recess, to keep the specific region of rectifier and tooth or jaw Between space.Desirable situation also can be addition numerical digit wax patch structure types that define gauffer or other, to establish tool There is the region of particular stiffness or other structures characteristic.In the manufacturing process dependent on generation positive model to produce reset utensil, Addition wax is labelled to the holotype that production is had identical addition wax patch geometry by numerical digit model.This, which can be universally used in, defines rectifier Base shape or shape for calculating specific rectifier.An addible feature is the fringing around gum line, can be by At the gum line of numerical digit model teeth (rectifier is manufactured according to the numerical digit model teeth) add numerical digit model steel wire come Make the fringing.When by by polymer material pressure cooperation when on the positive physical model of numerical digit tooth to manufacture rectifier, Make rectifier that there is fringing around it along the steel wire of gum line, to provide additional hardness along gum line.

In another optional manufacturing technology, by two panels or more pressure cooperation on positive tooth model, wherein one Sheet material is to be cut out along the vault of rectifier, and remaining material is covered in top.This is at least mentioned along the vertical wall of tooth For the rectifier material of double thickness.

The change made constraint by production rectifier used in manufacturing technology can be designed rectifier.For example, if Rectifier is made in positive model by by polymer sheet pressure cooperation, then the thickness of rectifier is determined by piece thickness.Therefore, In general, if the system will be by the change orientation of model teeth, the size of model teeth stem portion, accessory position and choosing It selects and added material or removal material (for example, addition steel wire or form lacuna) is adjusted in a manner of change rectifier structure Save the performance of rectifier.Optionally, which can be made by specified one or more rectifiers of non-standard thickness material piece Rectifier is adjusted in a manner of providing greater or lesser power to tooth.On the other hand, if by quick shaping process (example Such as, three-dimensional lithography process or lithography process) make rectifier, then the thickness of rectifier can locally change, and can add Such as fringing, lacuna and fold structure feature, without modifying the numerical digit model of tooth.

The system also can be used to establish about more commonly using the model of utensil (such as retainer and rectifier) effect, and therefore may be used To generate optimal design and therapeutic scheme for particular patient.

Figure 11 A-11B illustrates initial tooth positions and non-desirable force vector obtained with positioning toilet article respectively. Referring to diagram, tooth is shown as along the plane direction in the example of movement (in the x-direction) wherein, and in toilet article, (e.g., polymeric shells are rectified Positive device) be located on tooth after, the geometric shape of rectifier be configured to tooth apply predetermined force, according to particular treatment rank The treatment plan of section resets tooth.For example, as shown in Figure 11 B, toilet article are configured to be engaged with tooth as shown along the side x To reset tooth, however as shown by arrows and illustrated, but cause along the direction+x/-z application predetermined force.

Therefore, in an aspect, rectifier geometric shape can be optimized to compensate non-desirable but established force vector To form reaction to the power, and further along base consider in the direction for the treatment of plan for the treatment of stage apply set power. That is, Figure 11 C-11D is illustrated respectively adds relief to toilet article to form reaction, Yi Jisuo to periodontal non-desirable force vector The desirable predetermined force that the toilet article of acquisition apply tooth.In one aspect, for non-desirable power (for example, such as Figure 11 B arrow institute Show) compensate, it is possible to provide scheduled relief (such as, but not limited to, 0.1 to 0.3mm) to avoid in rectifier and tooth it Between cause the contact of non-desirable force vector, but still retain (for example) along the desirable power of above-mentioned x-axis.

1C referring to Fig.1, shown arrow is the predetermined relief illustrated on rectifier, thus by the geometric form of modification rectifier Shape and eliminate and cause engaging at non-desirable power position between rectifier and tooth.By this method, in one aspect, and as schemed Shown in 11D, realizes by (for example) the geometric shape of rectifier is modified and be applied to the set and desirable of tooth in the x-direction Power.

The toilet article geometric shape of Figure 12 diagram modification, including the additional shape to remove gap between toilet article and tooth Shape modification.Referring to Fig.1 2, it is noted that, although the modification to rectifier geometric shape (as discussed above in association with Figure 11 C-11D) It will lead to and tooth, but for example, as shown in Figure 12, tooth and rectifier are applied to by the desirable predetermined force that dental treatment is planned Between, in gingival areas nearby may will form gap or chamber.It in one aspect, can be to strong in view of produced gap or chamber Positive device geometric shape further modify or optimize, (for example) when rectifier is in effectively (stretching) state towards tooth There is more adaptability on direction.

Referring to Fig.1 2, in one embodiment, arrow (direction of arrow is can be to the direction that rectifier shape is modified) It is graphical optimization rectifier geometric shape, to solve the gap formed or chamber.Moreover, it is noted that being directed to gap and carrying out Rectifier shape optimum may potentially influence rectifier to the direction of tooth applied force, and therefore may need further progress Additional modification or optimization.

In one aspect, dental appliance shape is modified with one or more relief regions, and be respectively more loose adaptation Or relatively tight adaptation carries out profile modifications to realize desirable force vector, and friction and other non-desirable force vectors are avoided simultaneously, thus Improvement and custom rectifier shape are provided for the treatment of the dental conditions.

In toilet article manufacture, in one aspect, rapid shaping can be adjusted during establishment process and be formed by mould, to be in Now based on (for example) in the predefined position of mould or relevant position numerical digit add and/or subtract relief and/or protrusion Desirable geometry.

Figure 13 diagram constructs toilet article geometric shape based on the scan geometry of tooth treatment plan.Referring to Fig.1 3, It, can be by since dental appliance and interdental friction can form limitation to treatment, thus in one aspect in one side All interference between current location (Current therapeutic stage) and the next position (n+1 treatment stage) are removed to optimize rectifier Geometry.That is, can produce the scan geometry between current location and the next position.Scan geometry shape shown in Figure 13 Shape is to combine geometry between current location and next unlimited little increment towards the next position (n+1 treatment stage).By By the unlimited little increment such as this that adds up, geometry obtained just establishes scan geometry shape.

Referring again to Figure 13, determine rectifier scan geometry with minimize or remove tooth and dental appliance it Between friction after, can be to the one or more deformation of rectifier shape addition or relief, to provide desirable motion-vector, with edge Direction determined by the particular treatment stage for treatment plan applies set power.

In another aspect, detectable when because generated power is insufficient to lead to the movement of tooth.That is, vertical In the amount of surface area of desirable portable cord (or direction perpendicular to motion-vector) may be not enough to that rectifier is allowed to reach required power. For example, existing root shear force may be not enough to push in the direction on projected direction (as shown in Figure 12, edge+Z axis) Tooth.Therefore, dentistry attachment can be added or provided on tooth, to improve the surface area perpendicular to the mobile desirable direction of tooth Amount.

In one aspect, based on from material properties and perpendicular to composite vector (its from the movement in particular treatment stage to Amount causes) amount of surface area determined by Lixing be that can give tooth by using dentistry attachment particularly suitable for desirable movement Increase additional surface area.By this method, in one aspect, it may be determined that the section of the surface area of a certain particular tooth, and dentistry Attachment can be positioned on tooth, to increase or improve necessary surface area mutually to cooperate or engage with toilet article, to realize along treatment The accurate direction in stage acts on the desirable motion-vector of tooth or the power of predeterminated level.

By this method, in one aspect, Computer aided design tools or system can be used to manufacture or emulate dental orthotic Device, wherein initially setting up the model about dental imaging to be moved.Hereafter, pass is established by defined geometric shape property In the rectifier for defining tooth target position.Hereafter, for example, using FEA modeling or other suitable calculating and/or modeling technique To determine or establish about the model for making tooth be reset to from initial position power necessary to target position.In one aspect, may be used The power is defined using the physical model for the tooth for being connected to strength survey sensor, in order to use the reading obtained from physical model Number is to determine optimal force, therefore, is based at least partially on the feedback from physical force instrument to change attachment and rectifier configuration Shape.

Therefore, the motion-vector in exerted forces direction is established and for being reset to target position necessity from initial position Power level and its property defined.Rectifier shape based on motion-vector and modeling, rectifier is further modified or Re-configuration is considered so that identified motion-vector to be included in.That is, defining motion-vector, (vector identification resets tooth Necessary power property) after, toilet article shape is changed or optimized based on identified motion-vector.In addition, can advanced optimize Utensil shape carries out reaction with the non-desirable power or component that may cause to the motion-vector based on definition.

Hereafter, modified or optimization toilet article can be manufactured, via rapid shaping or other suitable technologies to reach Desirable tooth is mobile.In addition, the process is repeated to optimize toilet article for each treatment stage for the treatment of plan, so that correction Device performance and treatment plan result are improved.

In addition, in one aspect, providing interactive analytic process, rectified wherein slight or small part is changed to introduce In positive device geometric shape, and the effect of the distribution of power obtained in it in each treatment stage of (for example) treatment plan with it is desirable Power compares, and repeats the process if the result is close to target distribution, and if as a result leaving or deviateing target distribution and ignore The process.The process is repeated for each treatment stage for the treatment of plan, so that the corresponding geometry of the series toilet article or rectifier Shape is respectively optimized, to improve treatment results.

In another aspect, in one embodiment, toilet article configuration can be based on scan geometry discussed above, with minimum Change toilet article and corresponding interdental friction, in addition, toilet article can be modified to establish one or more other contact points or surfaces (for example, lacuna or contact using the attachment for being bonded to tooth), to generate desirable power.(for example) computer-aided can be used to set Meter or modeling tool are established about the toilet article geometry obtained (scan path including current and subsequent (n+1 stage) Geometry) and power generate the model of mobile (motion-vector as described above).

In addition, in another further aspect, it can be based on the maximum useable surface area perpendicular to the mobile desirable direction of tooth Position determines the layout of dentistry attachment.In addition, if acted in treatment plan the power of any given tooth at or below Attachment can be then added to tooth to augment the coefficient of friction of desirable surface area or increase tooth, thus changed by predefined level Power distribution of the kind rectifier on tooth.

It in one aspect, can be via (for example) addition, part or overall subtraction, uniform or non-homogeneous scaling, Bu Lin Or Fei Bulin algorithm or geometric operations or one or more combination intentionally change and tooth, gum and/or other oral cavities Tissue or the associated data set of structure, in order to for the configuration of desirable or set therapeutic purpose optimization toilet article, modeling and/ Or manufacture.

In addition, referring to the discussion above for attachment, it is possible to provide the angulation of attachment or attached and surfac topography, to improve Motion-vector, to optimize application of the motion-vector for desirable tooth, and the non-of motion-vector can be reacted on simultaneously by minimizing The amount of desirable or harmful force vector.In addition, in one aspect, it is possible to provide a series of connecting attachmentes are to change power direction or generate defeated It is sent to the motion-vector of a certain predetermined period, so that the series adjoins attachment and can be configured to play the function of slow acting cam, and Toilet article then play the function of driven wheel.

In another further aspect, point tracking can be added to handle and/or pursue the tooth point for the treatment of stage, closed to can determine Meaning or cam appropriate/driven wheel relationship, to reach target position or therapeutic purpose.In one aspect, on toilet article inner surface One or more protrusions can be configured to driven wheel, and can be formed by virtual pressure spot.It intentionally establishes or designs and referring to It include virtual pressure spot in the one embodiment in the gap in mould or model, when rectifier is formed in reference on mould, ginseng It is both associated due to applying the corresponding part of extra pressure to tooth with rectifier to examine mould or model.

Dentistry attachment positioning of Figure 14 A-14B diagram for rotating tooth.4A-14B referring to Fig.1, as shown, a pair of Attachment is positioned on the buccal surface surface and lingual surfaces of tooth, and center is located perpendicular in the plane of Z axis relative to tooth. Referring to the equal diagram, which shift in above-mentioned plane or inclined with opposite direction shown in the corresponding arrow in illustrating It sets, to generate the couple for corresponding to the torque that resulting net force is 0, to cause the rotation of tooth mobile.

Figure 15 diagram is for making the inclined dentistry attachment positioning of tooth.Referring to Fig.1 5, an attachment can be positioned at buccal surface On surface, and another attachment is positioned on lingual surfaces, the relative altitude of the grade attachmentes has differences, and its center or axis phase Tooth is positioned in the plane perpendicular to Y-axis.Power direction shown in the arrow is applied to attachment, to cause relative to tooth Tooth position sets the torque along Y-axis, and resulting net force obtained is 0.In another aspect, attachment can be positioned relative to tooth perpendicular to Y In the plane of axis.By this method, attachment is applied to so that an attachment closes in the power and same plane of face translation towards tooth along phase Another power of opposite direction will lead to the inclination of tooth.This method, which can be used, reverses (lingual surface root of the tooth in the root of the tooth of (for example) correction art Inclination) in, and the center of rotation of tooth is located in corona, therefore root of the tooth will topple over or tilt.

Figure 16 is illustrated for positioning the dentistry attachment of tooth angulation.As indicated, this is positioned on tooth attachment, and phase The power answered is applied on tooth as shown in corresponding arrow.The effect will cause the angulation of tooth (for example, implementing along shown in Figure 16 Clockwise direction in example).

Figure 17 A-17B diagram is respectively used to the dentistry attachment positioning of buccal surface translation and lingual surface translation.Referring to the equal diagram, such as This can be positioned in cheek side and tongue side attachment in the X-Y plane relative to tooth shown in figure.Since two attachmentes position At the different height relative to tooth center of rotation, thus it is big close to the degree that the attachment of center of rotation positioning is pushed into corona In relative to the attachment far from center of rotation.Therefore, the total power for acting on tooth will be positive value, but can will topple over torque and be adjusted to 0, Because can by two attachmentes the power lever component for acting on center of rotation of each attachment be adjusted to equal, direction phase Instead.This method can realize that root of the tooth translates.

Figure 18 A-18B illustrates the dentistry attachment positioning for closely middle translation and remote middle translation respectively.Diagram is waited referring to this, by By positioning this as shown in figure to attachment and apply suitable predetermined force to it, can get tooth nearly middle translation and it is remote in put down It moves.

Figure 19 A-19B is illustrated respectively for dentistry attachment positioning that is prominent and pushing.It waits and illustrates referring to this, under the situation This is positioned at the tongue side of tooth and cheek side to attachment together with the planar central comprising Z axis.Two attachment constructions shown in figure To be moved up along Z axis to realize protrusion, or move down to realize and push along Z axis.It results from two attachmentes or is applied to The power of two attachmentes is (for example, this is causing because the local attachment of the difference relative to corona is mobile) different on magnitude.When When power from attachment causes equal in magnitude, the reversed opposite arm of force to center of rotation, toppling over torque can be cancelled, and be obtained Power may include tooth protrusion or push translation.

In addition, cause the attachment movement of above-mentioned protrusion or pushing that can be used together with the translational movement acted on corona with Obtain counterbalancing torque.For example, being to make it towards the biteplane on buccal surface surface relative to corona by by attachment construction It is mobile, it can oppositely balance and topple over torque caused by being moved as buccal surface.

In addition, causing attachment movement that is prominent or pushing translation that can be used together with the rectifier locally expanded, part is swollen Swollen rectifier is included in the rectifier surface heaved on some coronas so that rectifier surface not be in passive state tooth Hat is in contact.Rectifier and attachment are mobile to be used together when rotation when expanding, and can get maximum rotational torque and the smallest Harmful power, this is because rectifier only interferes attachment, to generate the rotation couple that (for example) total power is 0.

In another embodiment, the attachment of pre-production can be used to reduce or eliminate and cause because of the forming of inappropriate attachment Failure.

Therefore, in one aspect, it is first determined n+1 or subsequent/target tooth position.Hereafter, it determines from initial tooth position Set the moving direction for reaching target tooth position.After determining moving direction, determine reset tooth from initial position To the power of target position and amount or magnitude and the direction of torque.Hereafter, it determines and is provided along the direction that the tooth planned moves It is most suitable for the profile (e.g., geometry) of the attachment of fixing, and determines optimum position of the attachment relative to dental surface.

After determining attachment relative profile, the accessory displacement reached from initial position to target position is determined.By attachment After being positioned on tooth, the toilet article in successive treatment stage are meshed and contact with toilet article via the attachment of positioning.

By this method, power/torque caused by toilet article is accurately oriented along desirable direction, and is also configured to have and is enough to make Tooth moves into the magnitude of next planning location.For example, in one embodiment, attachment is bonded to patient teeth.As above It is described, determine the initial position of attachment.Displacement or the attachment resetted can produce the chamber consistent with the attachment shape on toilet article New position.Since attachment was located on corona and is displaced in succeeding target treatment stage, goal treatment in the initial stage The toilet article in stage may interfere with the attachment on initial stage for the treatment of tooth.The interference itself, which is also configured to generate, forms desirable tooth road Power/torque of diameter.

In one aspect, can modify or optimized force/torque direction and magnitude, to generate counterbalancing power/torque, with by Torque (for example) is toppled over to be eliminated or minimized nocuousness relative to the accessory displacement amount of crown surfaces by adjusting, to reach root of the tooth shifting Dynamic or similar movement.Attachment amount of movement relative to corona also can be associated with tooth movement, with the mobile production based on attachment Raw treatment plan.

Figure 20 illustrates the complementary engagement of toilet article and attachment.Referring to Figure 20, in one aspect, toilet article (in such as Figure 20 label for (a) toilet article) on be provided with protrusion or button, in one embodiment, the protrusion or button are configured to and attachment (figure Label is attachment b) in 20) on respective slot or lacuna be meshed, and be positioned on dental surface.By this method, by To receive the chamber of protrusion on button or protrusion and attachment on toilet article, the opposite position of protrusion can be constructed It sets to apply point power or face region power to attachment device.

Therefore, to the protrusion on toilet article or rectifier and the chamber on attachment device can be received to construct, with Form the combination or engagement that can apply some power at this.In addition, right in (for example, based on above-mentioned mobile translation of one or more) It, can be by power or face region in the case of the relative position of protrusion and the chamber on attachment carry out partial modification on toilet article Power, which is oriented, causes corresponding tooth mobile.

In addition, in one aspect of the invention, the surface region for being configured to provide the power of more changing the time towards tooth may include Towards the carinate member projection members or tabular protrusion point of Its pulp.In addition, the power also may include " reinforcement " in the n+1 stage Surface region, wherein in one aspect, gauffer can be constructed by one or more carinate parts or folding line, so that towards tooth Inner surface and tooth keep Full connected (rather than contact of point contact or carinate part) and make the inner surface in local support It is strengthened in region, so that power is easy dispersion not as good as in the region not being supported.

Figure 21 is the flow chart of graphical optimization toilet article geometric shape.Referring to Figure 21, at step 2110, the first of tooth is determined Beginning position.Hereafter, at step 2120, the tooth target position based on treatment plan is determined.In one aspect, the target position It may include next or the tooth position of n+1 treatment stage.Referring again to Figure 21, tooth target position is being determined based on treatment plan Later, it at step 2130, is calculated or determined and the mobile associated motion-vector of the tooth from initial position to target position. That is, determining power distribution or attribute, it may for example comprise power (for example) associated with the tooth movement from initial position to target position Magnitude and power direction.

Referring again to Figure 21, determine with the tooth from initial position to target position move associated motion-vector it Afterwards, at step 2140, component associated with motion-vector is determined.For example, as described above, determining and making tooth from initial bit Set the associated force of motion-vector for being reset to target position.In addition, determining the mobile power direction of tooth and solving to have The opposite force of harmful or unvested power.Hereafter, based on motion-vector (itself and the mobile phase of tooth from initial position to target position Association) associated determining component, it modifies to the chamber geometry shape of toilet article.

Figure 22 is the flow chart for illustrating the positioning of dentistry attachment.The first treatment stage is determined at step 2210 referring to Figure 22 The tooth position at place.At step 2220, the tooth position of the second treatment stage or n+1 treatment stage is determined.Hereafter, in step At 2230, determination moves associated motion-vector with from the first treatment stage to the tooth of the second treatment stage.Determine with After the mobile associated motion-vector of tooth, at step 2240, one or more teeth associated with motion-vector are determined Section's attachment profile.That is, determine (for example) the position of dentistry attachment, the angulation of dentistry attachment, perpendicular to from toilet article power direction Surface area.Hereafter, at step 2250, during the first treatment stage, one or more dentistry attachmentes are located in corresponding On tooth.

By this method, in one embodiment, power/torque from toilet article is accurately applied to tooth, so that tooth is from just Beginning position is reset to target position or the second treatment stage position.

Referring to Figure 23, at step 2310, for making tooth be moved to target most final position from initial position in sequence of steps The stage set calculates the track of every bit on each dental surface to realize that given predefined phase is mobile.According to track, determine The active surface 2320 of tooth.Active surface is point p: dental surface all on the dental surface for being calculated as meeting following condition Method phase power N (p) predefine positive threshold value to being greater than corresponding to the projection on the tangential vector of desirable motion track Γ p at the point p. Once active surface calculates the ratio between active surface and root of the tooth non-resistant surface through determination, for each tooth of patient 2330.If the ratio is greater than predetermined threshold, abundant effective dental surface 2340 that tooth has required tooth mobile.

It, can be right if the ratio between active surface and root of the tooth non-resistant surface is not more than predefined thresholds referring now still to Figure 23 Existing dental surface carries out minimum change 2350.It among other things, may include custom attachment to the change of existing dental surface Or utensil, to increase tooth active surface quantity or material be added to dental surface.The minimum of existing dental surface is changed Dynamic to meet following constraint: modified surface provides active surface for required movement, and the ratio is greater than active surface and resistance Threshold value between power surface；Modified surface is the change to the tooth accessible surface of current location；And it is modified Surface must satisfy manufacture and require.The step of once existing dental surface is modified, then is repeatedly directed to dental surface after modifying Thus 2310-2330 verifies new surface through corresponding rectifier, to ensure to there is foot with modified dental surface Enough contacts area.

Figure 24 is to illustrate the flow chart for determining attachment for obtaining the whether desirable method of abundant tooth effective surface area.Ginseng According to Figure 24, at step 2410, for making tooth be moved to target position from initial position in the sequence of stages for the treatment of plan Given treatment stage, it may be determined that the rigid body translation A of tooth.In one aspect, rigid body translation A may include making tooth from stage n Position is moved to the rigid body translation of the position of stage n+1.

The geodesic curves A (t) in rigid body translation space determined according to rigid body translation A referring to Figure 24, the rigid body translation with It is related (2420) corresponding to the rigid body translation of 0 mobile I and the rigid body translation of rigid body translation A.For example, in one aspect, it is corresponding All the points correlation identical as holding in the rigid body translation of 0 mobile I, that any movement or displacement does not occur.For on dental surface Each vertex V, the interior normal direction unit of the tangential vector of unit of calculated curve A (t) V at t=0 and dental surface at V to Measure the dot product s (V) 2430 of N.

Hereafter, the active surface of tooth is determined, the active surface of tooth is that at least one vertex V and wherein s (V) is big In the set (2440) of all crown surfaces of predefined SC.That is, in one aspect, at the mobile direction of corona point and the point When angle in surface between normal direction is greater than predefined threshold SC, which can be considered as effective crown surfaces.Join again According to Figure 24, determine the non-resistant surface of tooth, the non-resistant surface of tooth be at least one vertex V and wherein s (V) be less than it is predetermined The set (2450) of all root surfaces of adopted SR.In another aspect, if the direction and the surface at the point of the movement of root of the tooth point Angle between interior normal direction is greater than predefined SR, then the root of the tooth point can be considered as on resistance root surface.

Referring again to Figure 24, ratio G can be determined as to the area ratio (2460) of active surface and non-resistant surface.If ratio G is greater than predefined effective-resistance threshold value A R, then can be not necessarily to any attachment (2470).For example, in one aspect, if corona is effective The ratio of surface area and root of the tooth non-resistant surface product is greater than predefined effective-resistance threshold value A R, then can be considered as the movement feasible.Separately On the one hand, if ratio G is not more than AR, use to the addition of the minimum degrees of crown surfaces so that the ratio G recalculated meet G > The condition (2480) of AR.The addition can be fabricated to attachment (among other things, such as carinate part, protrusion or lacuna), and The attachment can be made to engage with corona.

According to an embodiment, using non-repeatability process to be the close of desirable mobile determining rectifier according to treatment plan Optimum shape.Figure 25 is the flow chart of non-repetitive process 800.For basic shape feature (for example, lacuna), in step At 810, calculate the magnitude of the formed power of this feature, the magnitude be this feature on rectifier surface position and feature it is raised The function of degree.Can by by the geometrical properties of feature locations (for example, the distance to boundary, the distance to tortuous carinate part, Curvature etc.) it is associated with the magnitude of power produced by this feature, statistically export the function.For from stage n to stage n + 1 given tooth is mobile, at step 820, calculates and corresponds to given mobile rotary shaft via the centre of draft and be translated towards Amount.Next, at step 830, the magnitude of power such as identify the point to its applied force on dental surface, and calculate this, so that If the power of the grade magnitudes is applied to identification point along its direction from stage n to the motion track of stage n+1, following condition has been obtained To satisfaction:

It a. will be close to required rotating shaft direction via the total torque axis of the centre of draft

B. total torque magnitude will be enough to rotate tooth

C. total power direction will be close to the direction of translation vector

D. total force will be enough to translate tooth.

Then, in step 840 place, the point set of column constraint under meeting is identified in the point set for meeting above-mentioned condition:

A. point quantity is as few as possible

B. each point is separated as much as possible

C. each point will be as close to the active surface of tooth.

For the point set identified in step 840, at step 850, a position is changed into needed for active surface by calculating Attachment surface (if any), it is mobile with the tooth needed for realizing.Then, at step 860, selection is with no more than an attachment Point set, which is located at the cheek side of tooth, and wherein the condition of step 830 is met as much as possible.Then, in step At 870, the shape feature (for example, lacuna) that its degree of convexity corresponds to desirable force is formed at the point set identified. At optional step 880, if the position of each point is close to each other, corresponding lacuna can be merged to form carinate part.It is familiar with Skilled person should be understood that lacuna obtained and carinate part is the required rectifier shape feature of desirable movement of tooth.

Figure 26 shows corona point from the first treatment stage for the treatment of plan to the track of the second treatment stage in one aspect. Referring to Figure 26, there is point 2511 and 2521 in the initial position of a treatment stage of the corona 2501 in treatment plan.It is controlling At the desired therapeutic stage for treating plan, the equivalent point of the corona of tooth 2501 be can be shifted to target position 2512 and 2522.It can base In the initial position of corona and target position determination and mapping trajectories 2513 and 2523.

Figure 27 shows the active surface and non-resistant surface of tooth in one aspect.Referring to Figure 27, corona 2501 has effective Surface 2530, or with can be to its applied force so that the surface that tooth is moved along desirable track 2513 and 2523.Contradicting these has Effect surface may include the non-resistant surface 2540 that power is applied on root of the tooth 2502.When the ratio of active surface and non-resistant surface is greater than in advance When defining threshold value, the rectifier of such as forming can apply power appropriate so that tooth is moved along desirable track 2513 and 2523.

Figure 28 demonstration increases the active surface of tooth by addition attachment.Referring to Figure 28, in active surface and resistance table Face compared with just not larger than in the case of predefined thresholds, additive being made (as included carinate part, lacuna or protrusion Attachment 2550 inside) it is meshed with tooth to increase the active surface 2530 of tooth.Increase active surface using attachment 2530 amount, thus the ratio between active surface and non-resistant surface can be greater than predefined thresholds, thus allow applied force with reality Existing tooth is correctly moved along desirable track 2513.

Figure 29 shows the section of the tooth with attachment and the rectifier with the carinate part for being matched with attachment.Reference To realize that desirable tooth is mobile attachment 2550 can be used sometimes to increase the effective surface area of crown surfaces 2501 in Figure 29.For Keep attachment effective, it is necessary to apply correct power to attachment 2550 so that tooth is moved along desirable trajectory path.Carinate part 2561 or any equivalent the power such as this are formed in the forming rectifier 2560 for being matched with attachment 2550.By this method, rectifier 2560 pairs of dental surfaces and attachment 2550 directly apply correct power, so that tooth is moved to along desirable track from initial position Desirable target position.

In the mode described in this, in one aspect, can be based at least partially on patient's initial position initial dentition and Desirable treatment results (position of tooth and orientation when including such as treatment end) generate positive technology treatment plan.On the one hand In, it the method for computer software building can be used to analyze path of each tooth from its initial position to final position.It can analyze All movements in three-dimensional space.For example, can be a series of movement of increments by path description, wherein each increment may include line Property displacement and rotation combination.Can be based at least partially on (for example) can lead to final goal position path on cause it is next Mobile increment, or the mobile load included from initial position to the overall movement of final goal position can be caused, it determines Reach desirable movement required load-power and torque.

In one aspect, the surface of tooth can be analyzed and be defined as collecting for several discrete smaller surfaces.It can recognize It is orientated the surface for being sympathetic to required direction or load.If this kind of surface is not present or it is not for required load application Most preferably, or via cavity interior close to the surface, then can not can improve by added material or change the profile of dental surface/ Orientation.By this method, in one aspect, method described herein can determine one or more possible solution to provide pair The correction of desirable power system, and can determine one or more clinically feasible solutions.

In another aspect, it may be necessary to the more than one power on more than one surface is acted on, to give defined movement Assign correct power system.It should be understood that toilet article are configured to apply a power system to tooth, and power system includes power, torque and couple At least one of square.Therefore, change can be made to rectifier geometry so that can by the power system assigned deliver in by On the surface that (for example) one or more feasible solutions determined are identified.The change of rectifier geometric shape parameters can be led Cause the change of rectifier and teeth contact point, and the controllable power system for being applied to particular tooth.The grade changes can be calibrated With control force system and start the movement of tooth.In addition, also may include specific feature (such as, but not limited to, carinate part) Lai Dacheng Control to contact point on surface simultaneously provides necessary load.

In another further aspect, rectifier geometry can provide relief region or gap, to allow tooth unobstructed Ground moves into the region or position.The open sky that tooth can be made to be included in rectifier by the power system that rectifier is applied to tooth It is interior successfully to move.

In another further aspect, rectifier feature can design and be fabricated to the movement of limitation tooth.For example, rectifier can be set It is calculated as the physical boundary that be moved across tooth can not, to provide safety, prevents the nocuousness for endangering patient health mobile.This Outside, in another aspect, rectifier can be configured to play the function of the mobile guide surface of tooth.More specifically, rectifier Can be configured to tooth applied force system, and can make under the auxiliary of rectifier guiding role tooth be directed into specific position and Orientation.

By this method, one or more features are incorporated to rectifier geometry or configuration can lead to rectifier geometry Subsequent change, which leads to the change of tooth and rectifier contact surface position.It can be by the new surface of identification and load Come determine and compensate the grade change and this etc. geometries change effect, to reach desirable movement.It can be set in the repetition Improve rectifier geometry during meter, this is because that can consider each feature to configuration is repeated each time and its to strong Positive device geometry, contact surface and the effect of generated power system, re-define final rectifier later and design and also determine Justice includes the general tratment planning of each treatment stage.

In this way, in one aspect, orthodontic treatment method can include: define the movement routine of each tooth；Reach The required power system of the movement；It determines and intends being applied to the grade surfaces to assign surface and the power of defined power system；And meets and be somebody's turn to do The rectifier geometry design for treating standard.

The method by computer building in one embodiment includes: the initial position of established tooth；Determine that tooth is counted in treatment Target position in drawing；It calculates and the mobile associated motion-vector of the tooth from initial position to target position；It determines and corresponds to In multiple components of motion-vector；And determine one or more of one or more corresponding attached devices relative to tooth table plane A corresponding position, so that the one or more attaches device and is meshed with toilet article.

The one or more attaches device and can be configured to apply scheduled power to toilet article substantially at tooth table plane.

In one aspect, multiple components can provide following one or more: the rotational displacement of tooth, the angle of tooth are moved Position, the linear displacement of tooth or one or more combination.

Toilet article may include polymeric shells.

In addition, one or more of multiple component can correspond to be applied to by toilet article one of corresponding attached device or Multiple corresponding power or torque, wherein one or more of multiple component can correspond to be applied to tooth by accordingly attaching device The corresponding power of the one or more of tool or torque.

It may include the multiple teeth for being provided in be in contiguous positions relative to each other on tooth that the one or more, which attaches device, Section attaches device, and wherein toilet article can be configured to be physically contacted in order and individually each in multiple attached devices of connecting dentistry It is a to reach a certain scheduled period.

In another embodiment, a kind of device for establishing the model about toilet article include: data storage cell and Processing unit, the processing unit are attached to data storage cell and are configured that the initial position of determining tooth；Determine that tooth is being controlled Treat target position in the works；It calculates and the mobile associated motion-vector of the tooth from initial position to target position；It determines Multiple components corresponding to motion-vector；And determine one of one or more corresponding attached devices relative to tooth table plane Or multiple corresponding positions, so that the one or more attaches device and is meshed with toilet article.

In one aspect, which attaches device and can be configured to apply in advance toilet article substantially at tooth table plane Fixed power.

In one aspect, multiple components can provide following one or more: the rotational displacement of tooth, the angle of tooth are moved Position, the linear displacement of tooth or one or more combination.

In addition, toilet article also may include polymeric shells.

One or more of multiple component may include one or more phases that corresponding attached device is applied to by toilet article The power or torque answered, wherein one or more of multiple component can correspond to be applied to the one of toilet article by accordingly attaching device A or multiple corresponding power or torque.

In one aspect, it may include being provided on tooth, each other in contiguous positions which, which attaches device, Multiple dentistry attach device, and wherein toilet article can be configured to be physically contacted in order and individually in the attached device of multiple connecting dentistry Each reach a certain scheduled period.

According to another embodiment, a kind of method by computer building includes: the initial position of established tooth；Determine that tooth exists Target position in treatment plan；It calculates and the mobile associated motion-vector of the tooth from initial position to target position；Really Surely correspond to multiple components of motion-vector；And it is based on multiple component, chamber geometry shape of the modification for the toilet article of tooth Shape.

It can be modeled based on FEA to determine motion-vector.The motion-vector can also be based on physics force modeling.

In addition, one or more of multiple component may include and the mobile phase of tooth from initial position to target position Associated one or more force vector, wherein the one or more force vector can be designed into the chamber geometry shape of toilet article, To apply the corresponding power of the associated one or more of force vector corresponding with the one or more to tooth.

This method is also can include: updates the chamber shape of the polymeric shells of tooth, corresponds to movement to apply to tooth Vector it is multiple through determining component so that tooth is reset to target position from initial position.

In addition, this method is also can include: determine that power associated with motion-vector is horizontal, wherein determining that power level can wrap It includes: in the positions for determining one or more application motion-vectors on dental surface；And be configured to the polymeric shells of tooth Chamber geometry shape is determined with one or more on tooth surfaces and applies motion-vector at position.

According to another embodiment, a kind of method manufacturing toilet article includes: each stage for treatment plan, is determined for compliance with trouble The treatment plan of person's correction art condition；Define the initial position of tooth；Determine the target position of tooth；Calculate with from initial position The mobile associated motion-vector of tooth to target position；Determine the multiple components for corresponding to motion-vector；And it is based on being somebody's turn to do Multiple components, chamber geometry shape of the modification for the toilet article of tooth.

This method may include the virtual image for generating the chamber geometry shape about modification in one aspect.

According to another embodiment, a method of it is constructed by computer can include: establish the initial position of tooth；Determine tooth Target position in treatment plan；Determine scan geometry path between initial position and target position and for making Tooth is reset to the related motion-vector of target position from initial position；And based on identified scan geometry path, modification The chamber geometry shape of polymeric shells for tooth, wherein modification chamber geometry shape may include in the polymerization for tooth The contact point that one or more contact tooth one or more correspond to predetermined surface is defined in object shell inner surface.

In addition, modifying chamber geometry shape can include: in the polymeric shells inner surface for tooth in another further aspect The one or more protrusions of upper definition, wherein the one or more protrusion is associated with motion-vector.

The one or more protrusion may include lacuna.

In addition, chamber geometry shape can be modified to minimize polymeric shells inner surface and interdental friction.

According in another embodiment, a method of it is constructed by computer can include: establish the initial position of tooth；Determine tooth Target position of the tooth in treatment plan；Calculate with the tooth from initial position to target position move associated movement to Amount；Determine the multiple components for corresponding to motion-vector；And based on each in the multiple determining components for corresponding to motion-vector The corresponding surface area of component determines, determines that one or more corresponding dentistry attach one or more placement positions of device.

In one aspect, polymeric shells inner surface associated with treatment plan, which can be configured to apply, corresponds to multiple points The corresponding power of one or more of a respective component in amount.

This method is in one aspect can include: determines and is approximately perpendicular to and from initial position to the movement of the tooth of target position The surface area in associated motion-vector direction.

It can construct in terms of data processing of the invention in numerical digit electronic circuit or computer hardware, firmware, software or combinations thereof In.Data processing equipment of the invention can construct in computer program product, which is implemented on tangible form To be executed by programmable processor in machine readable storage；And data processing method steps of the invention can be by can program Change processor to implement, which executes instruction program with by operating input data and generate output Mode implement function of the invention.Advantageously, it can construct in terms of data processing of the invention in one or more computer journeys In sequence, the one or more computer program can be executed in programmable system, which includes: that at least one can Programmable processor is coupled to receive data and instruction from data-storage system and data and instruction is transmitted to data and deposit Storage system；At least one input device；And at least one output device.Advanced procedures type program language can be used or object is led To program language, or assembler language or machine language (if if desirable) can be used to construct each computer program.And any Under situation, which all can be compiling formula language or literal translation formula language.Suitable processor includes (by way of example) general Microprocessor and two kinds of special microprocessor.In general, processor will connect from read-only memory and/or random access memory Receive instruction and data.Memory device suitable for implementing computer program instructions and data with tangible form includes that the non-of form of ownership is waved Memory body, including (by way of example) semiconductor memory device are sent out, such as EPROM, EEPROM and flash memory memory device；And Magnetic disk, such as built-in hard disc and removable dish；Magnetic optical disc；And CD-ROM dish.Above-mentioned any device can be by ASIC (application specific Integrated circuit) it is supplemented or is incorporated in ASIC.

To provide the reciprocation with user, computer system can be used to construct the present invention, which, which has, uses In the display device (such as monitor or LCD (liquid crystal display) shield) for showing information to user and allow user can be to computer system Input device (such as keyboard, two-dimentional pointer device (such as slide-mouse or trace ball) or three-dimensional pointer device (such as data that system is inputted Gloves or rotary type slide-mouse)).The programmable computer system allows computer program to make with the interactive figure of user to provide User's interface.The programmable computer system is to provide virtual reality, three-dimensional display interface.

For those skilled in the art, various other modified versions in terms of structure of the invention and operating method and Change will be apparent from, and this is without departing from the scope and spirit of the present invention.Although being described above in association with particular preferred embodiment The present invention, it is to be understood that the invention advocated should not be limited only to these specific embodiments.The scope of the present invention be intended to by Following claims limit, and this etc. structures and methods within the scope of claims and its equivalents be also intended to by right Claim is covered.

Claims (120)

1. a kind of method for designing orthodontic appliance, the orthodontic appliance was used for from the first disposition stage to the second disposition Stage moves at least tooth of patient, which comprises

Receive the first position of at least one tooth described in the patient at the first disposition stage；

The second position for determining at least one tooth described in the patient at the second disposition stage, at described second The stage is set after the first disposition stage；

Determine the motion-vector mobile for tooth, for by an at least tooth from the first disposition stage First position is moved to the second position at the second disposition stage；

Determine force component from the motion-vector, the force component is configured as the tooth from the first position direction The second position is mobile；

Based on the shape for designing the orthodontic appliance through the determining force component so that when with through design it is described just When the abnormal associated practical orthodontic appliance of rectifier shape is located at the appropriate location on the tooth of the patient, apply through true Fixed force component to an at least tooth, with according to through the determining motion-vector and will an at least tooth from First position is moved to the second position.

2. the method as described in claim 1 further comprises making the practical orthodontic appliance, the practical orthodontic Device is configured to when the appropriate location on the tooth that it is located in the patient in the first disposition stage, according to described An at least tooth is moved to the second position from the first position through determining motion-vector.

3. method according to claim 2, wherein make the practical orthodontic appliance by following steps: adjustment warp The mould of rapid shaping, by adding or subtracting relief or protrusion in the predefined position of the mould or relevant position The shape of desirable geometry associated with the orthodontic appliance through designing partially is presented.

4. the method for claim 1, wherein based on from the first position at the first disposition stage to second The rigid body translation of at least one tooth of the second position at the disposition stage, to determine the motion-vector.

5. the method for claim 1, wherein the motion-vector includes in the resistance via at least one tooth The rotary shaft and translation vector of the heart.

6. method as claimed in claim 5, wherein the force component includes the centre of draft via at least one tooth Torque axis and torque magnitude and power direction and force.

7. method as claimed in claim 6, wherein design the orthodontic appliance shape by following steps: comparing institute State rotary shaft and the torque axis；Compare the translation vector and the power direction；Determine whether the torque magnitude is used enough In the rotation of at least one tooth；And determine whether force is sufficiently used for the translation of at least one tooth.

8. the method as described in claim 1 further comprises: determining whether need dentistry attached on an at least tooth Device, to realize the desirable movement.

9. whether the method for claim 1, wherein determine needs dentistry to attach device on an at least tooth Step comprises determining that the active surface of the tooth.

10. method as claimed in claim 9, wherein determine the active surface by following steps: calculate with it is described extremely The track of few associated multiple points of a tooth, for described in from the first disposition stage to the second disposition stage The movement of tooth.

11. method as claimed in claim 10, wherein the active surface is determined as follows on the dental surface Point, wherein the projection of tangential vector of the normal force on the surface of the tooth at the point to the track is greater than predefined threshold Value.

12. method as claimed in claim 9, wherein determine whether need the dentistry attached on an at least tooth The step of device, comprises determining that non-resistant surface associated with the tooth.

13. method as claimed in claim 12, wherein determine whether need the dentistry attached on an at least tooth The step of device, further comprises: the ratio of the active surface and the non-resistant surface is compared with predefined thresholds, with Determine whether the tooth has enough effective dental surfaces, for from the first disposition stage to second disposition The movement of the tooth in stage.

14. method as claimed in claim 13, wherein determine whether need the dentistry attached on an at least tooth The step of device, further comprises: when the ratio of the active surface and the non-resistant surface is less than the predefined thresholds, really It is fixed with through the associated attached device profile of dentistry of the determining motion-vector.

It further comprise in the first disposition stage and in described the 15. method as claimed in claim 14 Molding dentistry attaches device on the tooth in two disposition stages, and the dentistry attaches device according to attached through the determining dentistry Connect device profile and forms.

16. method as claimed in claim 15, wherein the geometry of the orthodontic appliance is designed with shape spy Sign, and wherein the method further includes calculating the magnitude of power associated with the shape feature, which is in institute State the function of the position of the shape feature on the surface of orthodontic appliance geometry and the protrusion of the shape feature.

17. the method described in claim 16, wherein the magnitude of the power associated with the shape feature is based on institute State shape feature to the boundary of the orthodontic appliance shape distance and determination.

18. the method described in claim 16, wherein the magnitude of the power associated with the shape feature is based on institute State shape feature to the orthodontic appliance shape complications carinate parts distance and determination.

19. the method described in claim 16, wherein the magnitude of the power associated with the shape feature is based on institute State shape feature to the bending part of the orthodontic appliance shape distance and determination.

20. method as claimed in claim 14, wherein it includes related to an at least tooth that the dentistry, which attaches device profile, Dentistry attach device angles and dentistry and attach device position.

21. method as claimed in claim 20, wherein the dentistry attaches device position and the attached device angles of dentistry are true It is fixed, so that the dentistry attaches device position and the dentistry attaches device angles for the ratio of active surface and non-resistant surface Increase on the predefined ratio.

22. method as claimed in claim 20, wherein based on the tooth when the tooth is located in the first position The accessible degree on surface determines that the dentistry attaches device profile.

23. method as claimed in claim 20, wherein determine that the dentistry attaches device wheel based on manufacturability requirements It is wide.

24. the method as described in claim 1 further comprises: determining that the orthodontic appliance shape through designing will be in institute State the undesirable power generated on an at least tooth；And the orthodontic appliance shape through designing is further changed to it The non-desirable power generated forms reaction.

25. method as claimed in claim 24, wherein the step of further changing the orthodontic appliance shape through designing It include: to add relief in shape in the orthodontic appliance through designing, to form reaction to the non-desirable power.

26. method as claimed in claim 25, wherein the relief to avoid in the correction through designing through changing The contact of non-desirable power is caused between rectifier shape and an at least tooth.

27. method as claimed in claim 24, wherein the step of further changing the orthodontic appliance shape through designing Include: removed by the scan geometry using at least one tooth at least one tooth first position and All interference between the second position of at least one tooth, and change the orthodontic appliance shape through designing.

28. the method for claim 1, wherein the orthodontic appliance shape through designing by addition lacuna by Change, the lacuna is configured to be applied to an at least tooth through determining force component according to through described in determining Motion-vector and an at least tooth is moved to the second position from the first position.

29. the method for claim 1, wherein the motion-vector includes the nearly middle translation of the tooth, wherein described Force vector includes the first power at the first distance of the centre of draft apart from the tooth and in distance on direction, and with institute Opposite the second power at the second distance of the centre of draft apart from the tooth and on nearly middle direction of the first power is stated, and Wherein the first distance is greater than the second distance.

30. method as claimed in claim 29 further comprises attaching device to the first tooth to make plan, described in changing All active surfaces of tooth, wherein first tooth attaches device and at the first distance and in the remote middle direction On first power it is associated.

31. method as claimed in claim 30 further comprises attaching device to the second tooth to make plan, to change the tooth The active surface of tooth, wherein second tooth attaches device and at the second distance and on the nearly middle direction Second power it is associated.

32. the method for claim 1, wherein the motion-vector includes the remote middle translation of the tooth, wherein described Force vector includes the first power at the first distance of the centre of draft apart from the tooth and in close on direction, and with institute Opposite the second power at the second distance of the centre of draft apart from the tooth and in distance on direction of the first power is stated, and Wherein the first distance is greater than the second distance.

33. the method for claim 1, wherein the motion-vector includes the rotation of tooth, wherein the force vector packet Include the first power associated with the tongue side of at least one tooth and associated with the cheek side of at least one tooth Second power.

34. method as claimed in claim 33, wherein first power and second power are perpendicular to described at least one In the plane of the Z axis of tooth.

35. method as claimed in claim 33, wherein first power and second power are in the opposite direction.

36. method as claimed in claim 35, wherein first power and second power generate and corresponds to resulting net force for 0 The couple of torque, to cause the moving in rotation of at least one tooth.

37. the method for claim 1, wherein the motion-vector includes tooth inclination, wherein the force component includes The first power on the cheek side of at least one tooth, and the second power in the tongue side of at least one tooth, the The relative altitude of one power and the second power has differences.

38. method as claimed in claim 37, wherein first power and second power are generated along described at least one The torque of the Y-axis of tooth, and resulting net force obtained is 0.

39. the method for claim 1, wherein the motion-vector includes tooth inclination, wherein the force component includes In the first power being engaged on direction and in the same plane in contrast to second power in occlusion direction, cause at least one described The inclination of tooth is to reverse the root of the tooth of at least one tooth.

40. the method for claim 1, wherein the motion-vector includes tooth angulation, wherein the force component includes On occlusion direction the first power and in contrast to the second power on occlusion direction, cause at least tooth at Angle.

41. the method for claim 1, wherein the motion-vector includes buccal surface translation, wherein the force component includes The first power in the X-Y plane of at least one tooth on the cheek side of at least one tooth and in the X-Y The second power in plane in the tongue side of at least one tooth, first power are located relative to an at least tooth Rotation center the first height and second power be located relative at least one tooth rotation center second Highly, second height is lower than first height, wherein second power is greater than first power.

42. method as claimed in claim 41, wherein first power and second power cause in an at least tooth Total power on tooth is positive value, and topples over torque and be adjusted to 0.

43. the method for claim 1, wherein the motion-vector includes lingual surface translation, wherein the force component includes The first power in the X-Y plane of at least one tooth on the cheek side of at least one tooth and in the X-Y The second power in plane in the tongue side of at least one tooth, first power are located relative to an at least tooth Rotation center the first height and second power be located relative at least one tooth rotation center second Highly, second height is higher than first height, wherein second power is less than first power.

44. method as claimed in claim 43, wherein first power and second power lead to an at least tooth On total power be positive value, and topple over torque and be adjusted to 0.

45. the method for claim 1, wherein the motion-vector includes protruding, wherein the force component is included in Include in the plane of Z axis the first power on the cheek side of the tooth and on occlusion direction, and in the plane for including z-axis In the tongue side of the tooth and occlusion direction on the second power, and wherein first power and second power in rotation The heart causes equal in magnitude, the reversed opposite arm of force, is cancelled to topple over torque, and power obtained includes protruding.

46. the method for claim 1, wherein the motion-vector include push, wherein the force component include: The first power in plane including Z axis on the cheek side of the tooth and on the direction contrary with being engaged；And it is wrapping Include in the plane of Z axis in the tongue side of the tooth and with second power being engaged on contrary direction, Yi Jiqi Described in the first power and second power equal in magnitude, the reversed opposite arm of force is caused to center of rotation, to topple over torque quilt It offsets, and power obtained includes pushing.

47. the method as described in claim 45 or claim 46, wherein based on it is described through determining force component to design The step of stating orthodontic appliance shape includes: surface of the bulging through molding rectifier, so that the surface is not and in quilt The corona of at least one tooth of dynamic state is in contact.

48. a kind of system for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, the system comprises:

Data storage cell；And

Processing unit is couple to the data storage cell and is configured to execute as in claim 1 to claim 46 Method described in any claim.

49. a kind of method for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, which comprises

Receive the first position of at least one tooth at the first disposition stage in patient；

Determine the motion-vector for mobile at least one tooth；

Based on the surface for analyzing at least one tooth described in the patient through the determining motion-vector；

The orthodontic appliance shape is designed based on the analysis to the surface of at least one tooth described in the patient, so that Proper practical orthodontic appliance associated with the orthodontic appliance shape through designing was located in for the first disposition stage When appropriate location on the tooth of the patient, according to through the determining motion-vector and from the mobile institute in the first position State an at least tooth.

50. method as claimed in claim 49, wherein determine the step of the motion-vector for mobile at least one tooth Suddenly the track from the point of at least one tooth described in the first position to the second position is comprised determining that.

51. method as claimed in claim 49 further comprises determining that Force system, the Force system are used to be based on the movement An at least tooth is moved in the second position described in vector sum.

52. method as claimed in claim 51, wherein the step of analyzing the surface of at least one tooth includes: identification Relative to for assigning one or more power through the determining Force system and with the surface of desirable orientation.

53. method as claimed in claim 52, wherein identification is relative to for assigning one through the determining Force system Or multiple power and following factor is included in and is considered by the surface with desirable orientation: whether surface is come-at-able by cavity interior.

54. method as claimed in claim 52, determining has the identified surface of desirable orientation about for assigning One or more power through the determining Force system are inadequate, and are reacted and nationality forms tooth by added material The profile of the mould on surface, to improve the quantity on the surface with desirable orientation about one or more of power, Yi Jiji The orthodontic appliance shape is designed in the mould of the dental surface with added material, to improve about one The quantity on the surface with desirable orientation of power or multiple power.

55. method as claimed in claim 54, wherein it is not enough that determining, which has the identified surface of desirable orientation, The step of include: the non-resistant surface for comparing the identified surface and at least one tooth with desirable orientation.

56. method as claimed in claim 55, wherein compare the identified surface with desirable orientation and it is described at least The step of non-resistant surface of one tooth include: by with desirable orientation the identified surface and at least one described tooth The ratio of non-resistant surface be compared with predefined thresholds, and wherein determine the identified surface with desirable orientation About being that inadequate step is comprised determining that and taken with desirable for assigning one or more power through determining Force system To the identified surface and at least one tooth non-resistant surface ratio under the predefined ratio.

57. a kind of system for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, the system comprises:

Data storage cell；And

Processing unit is couple to the data storage cell and is configured to execute as in claim 49 to claim 56 Method described in any claim.

58. a kind of method for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, which comprises

Receive the first position of at least one tooth of the patient in the first disposition stage；

Determine moving through regulation at least tooth；

It determines for the Force system mobile through regulation；

One or more positions on the surface of at least one tooth for assigning one or more power are determined, to assign For described through the described through determining Force system of regulation movement；

The orthodontic appliance shape is designed by following steps: according on the surface of at least one tooth through determination One or more of positions and identify the orthodontic appliance shape and an at least interdental contact point；With And including feature in the orthodontic appliance shape, to control the load on the contact point；And

Wherein, when with to have included that the associated practical orthodontic appliance of the orthodontic appliance shape through designing of feature is located at In it is described first disposition the stage the patient tooth on appropriate location when, be configured as assigning described through determining Force system is moved at least the described of tooth through regulation.

59. method as claimed in claim 58, wherein determine at least tooth for assigning one or more power Surface on one or more positions the step of include: surface the collecting as discrete smaller surface for analyzing the tooth.

60. method as claimed in claim 58, wherein determine at least tooth for assigning one or more power Surface on one or more positions the step of include: identification about it is described through regulation it is mobile relative to for assigning through true One or more power of fixed Force system have the surface of desirable orientation.

61. the method as described in claim requires 60 is identified about described through regulation movement relative to for assigning through true One or more power of fixed Force system and following factor is included in and is considered by the surface with desirable orientation: whether surface by oral cavity Inside is come-at-able.

62. method as claimed in claim 60, determining has the identified surface of desirable orientation about for assigning One or more power through the determining Force system are inadequate, and are reacted and nationality forms tooth by added material The profile of the mould on surface, to improve the quantity on the surface with desirable orientation about one or more of power, Yi Jiji The orthodontic appliance shape is designed in the mould of the dental surface with added material, to improve about one The quantity on the surface with desirable orientation of power or multiple power.

63. method as claimed in claim 62, wherein it is inadequate that determining, which has the identified surface of desirable orientation, Step includes: to compare the non-resistant surface on the identified surface and at least one tooth with desirable orientation.

64. the method as described in claim 63, wherein compare the identified surface with desirable orientation and it is described at least The step of non-resistant surface of one tooth include: by with desirable orientation the identified surface and at least one described tooth The ratio of non-resistant surface be compared with predefined thresholds, and wherein determine the identified surface with desirable orientation About being that inadequate step is comprised determining that and taken with desirable for assigning one or more power through determining Force system To the identified surface and at least one tooth non-resistant surface ratio under the predefined ratio.

65. method as claimed in claim 58, wherein the feature includes carinate part.

66. method as claimed in claim 58, wherein determine at least tooth for assigning one or more power Surface on one or more positions comprised determining that at least tooth to assign the step of determining Force system First position and the second position on surface, it is described through determining power system to assign for assigning the first power and the second power respectively System.

67. method described in as claimed in claim 66, wherein when it is described through regulation it is mobile include translation in close when, through determination First power at the first distance of the centre of draft apart from the tooth and in distance on direction, and through determining institute It is opposite with first power and at the second distance of the centre of draft apart from the tooth and in close on direction to state the second power, And the first distance is greater than the second distance.

68. the method as described in claim 66, when it is described through regulation it is mobile include translation in remote when, through determining described first Power at the first distance of the centre of draft apart from the tooth and in close on direction, and through determining second power with First power is opposite and at the second distance of the centre of draft apart from the tooth and in distance on direction, and described the One distance is greater than the second distance.

69. the method as described in claim 66, when the translation including buccal surface mobile through regulation, through determining described first Power in the X-Y plane of at least one tooth on the cheek side of at least one tooth, and through determining described For two power in the X-Y plane in the tongue side of at least one tooth, first power is located relative to described at least one First height of the rotation center of tooth and second power are located relative to the rotation center of at least one tooth Second height, second height lower than it is described first height.

70. the method as described in claim 66, wherein when the translation including lingual surface mobile through regulation, through determining institute The first power is stated in the X-Y plane of at least one tooth on the cheek side of at least one tooth, and through determining In the X-Y plane in the tongue side of at least one tooth, first power is located relative to described second power First height of the rotation center of at least one tooth and second power are located relative to the rotation of at least one tooth Turn second height at center, second height is higher than first height.

71. the method as described in claim 66, wherein when the rotation including tooth mobile through regulation, through determining institute State that the first power is associated with the tongue side of at least one tooth, and through determining second power and an at least tooth The cheek side of tooth is associated.

72. the method as described in claim 66, when the inclination including tooth mobile through regulation, through determining described first Power on the cheek side of at least one tooth, and through determining second power at least one tooth tongue side On, first power is different with the relative altitude of second power.

73. the method as described in claim 66, when the torsion including root of the tooth mobile through regulation, through determining described first Power occlusion direction on, and through determining second power in same level with it is described be engaged it is contrary.

74. the method as described in claim 66, when it is described through regulation it is mobile include tooth angulation when, through determining described first Power is on occlusion direction, and through the second determining power in contrast to the occlusion direction, leads at least tooth Angulation.

75. the method as described in claim 66, when it is described through regulation it is mobile include prominent when, exist through determining first power In plane including Z axis on the occlusion direction on the cheek side of the tooth, and through determining second power including Z axis Plane on the occlusion direction in the tongue side of the tooth.

76. the method as described in claim 66, when it is described through regulation it is mobile include pushing when, exist through determining first power In plane including Z axis on the cheek side of the tooth on the direction contrary with being engaged, and through determining described Two power are engaged on contrary direction in the tongue side of the tooth with described in the plane for including Z axis.

77. a kind of system for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, the system comprises:

Data storage cell；And

Processing unit is couple to the data storage cell and is configured to execute as in claim 58 to claim 76 Method described in any claim.

78. a kind of method for determining orthodontic appliance geometry, which comprises

Determine the position of the tooth in the first disposition stage；

Determine the position of the tooth in the second disposition stage；

It determines and the mobile associated motion-vector of tooth from the first disposition stage to the second disposition stage；

Determine with through the associated attached device profile of dentistry of the determining motion-vector comprising dentistry attaches device position Device angles are attached with dentistry；

Molding dentistry attaches device on the tooth in the first disposition stage and the second disposition stage, described Dentistry attaches device and forms according to device profile is attached through the determining dentistry；

Based on the molding dentistry attacher on the tooth in the first disposition stage and the second disposition stage Part designs orthodontic appliance geometry.

79. the method as described in claim 78, further comprises: the track of multiple points associated with the tooth is calculated, For the movement from the first disposition stage to the tooth in the second disposition stage.

80. the method as described in claim 79, further comprises: determining the tooth based on the track being computed Active surface.

81. the method as described in claim 80, wherein the active surface is determined as follows on the dental surface Point, wherein the projection of tangential vector of the normal force on the surface of the tooth at the point to the track is greater than predefined threshold Value.

82. the method as described in claim 80, further comprises: determining non-resistant surface associated with the tooth.

83. the method as described in claim 82, further comprises: by the ratio of the active surface and the non-resistant surface and in advance It defines threshold value to be compared, whether there is enough effective dental surfaces with the determination tooth, for from described first Set the movement of the tooth in stage to the second disposition stage.

84. the method as described in claim 83, further comprises: when the ratio of the active surface and the non-resistant surface is less than When the predefined thresholds, determines and attach device profile with the dentistry joined through the determining vector correlation.

85. the method as described in claim 84, wherein it includes tooth relevant to the tooth that the dentistry, which attaches device profile, Section attaches device angles and dentistry attaches device position.

86. the method as described in claim 85, wherein the dentistry attaches device position and the dentistry attaches device angles By the described than increasing on the predefined ratio of active surface and impedance surface.

87. the method as described in claim 84, wherein based on the tooth when the tooth is located in the first position The accessible degree on surface determines that the dentistry attaches device profile.

88. the method as described in claim 84, wherein determine that the dentistry attaches device wheel based on manufacturability requirements It is wide.

89. the method as described in claim 78, wherein the orthodontic appliance geometry is designed to that power and torque is quasi- It really is applied to the tooth, so that the position of tooth from the tooth for being in the first disposition stage is reset in the The position of the tooth in two disposition stages.

90. the method as described in claim 89, wherein the orthodontic appliance geometry is designed to have shape spy Sign, and the magnitude of power associated with the shape feature is calculated, which is in the orthodontic appliance geometry The function of the protrusion of the position and shape feature of the shape feature on surface.

91. a kind of system for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, the system comprises:

Data storage cell；And

Processing unit is couple to the data storage cell and is configured to execute as in claim 78 to claim 90 Method described in any claim.

92. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

The motion-vector for being used for translating in close is determined, for an at least tooth to be disposed the first of the stage from first Position is moved to the second position in the second disposition stage；

Determine the first power at the first distance of the centre of draft apart from the tooth and in distance on direction, and with it is described Opposite the second power at the second distance of the centre of draft apart from the tooth and on nearly middle direction of first power, and its Described in first distance be greater than the second distance；

Based at the first distance it is described it is remote on direction through determining first power and described second At distance it is described it is close in second power in direction design the orthodontic appliance shape so that when with designed The associated practical orthodontic appliance of orthodontic appliance shape is located in the tooth of the patient in the first disposition stage On appropriate location when, by the first distance and it is remote on direction through determining first power and described It is applied to an at least tooth through determining second power at second distance and on the nearly middle direction, with basis An at least tooth is moved to described the from first position about translating in close through the determining motion-vector Two positions.

93. the method as described in claim 92, further comprises: plan or molding first on an at least tooth Tooth attaches device, to change the active surface of at least one tooth, wherein first tooth attaches device and is in The first distance and it is described it is remote in first power on direction it is associated.

94. the method as described in claim 93, further comprises: plan or molding second on an at least tooth Tooth attaches device, to change the active surface of at least one tooth, wherein second tooth attaches device and is in The second distance and it is described it is close in second power on direction it is associated.

95. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

Determine the motion-vector for translating in remote, for by an at least tooth from the first position for being in the first stage It is moved to the second position in the second disposition stage；

Determine the first power at the first distance of the centre of draft apart from the tooth and on close middle direction, and with it is described Opposite the second power at the second distance of the centre of draft apart from the tooth and in distance on direction of first power, and its Described in first distance be greater than the second distance；

Based at the first distance and it is described it is close on direction through determining first power and described second At distance and it is described it is remote in second power on direction design the orthodontic appliance shape so that make when and warp The associated practical orthodontic appliance of the orthodontic appliance shape of design is located in the described of the first disposition stage When appropriate location on the tooth of patient, by the first distance and in close on direction through determining described first Power and second power at the second distance and on the remote middle direction are applied to an at least tooth, with An at least tooth is moved to institute from first position through the determining motion-vector according to about remote middle translation State the second position.

96. the method as described in claim 95, further comprises: plan or molding first on an at least tooth Tooth attaches device, to change the active surface of at least one tooth, wherein first tooth attaches device and in institute First power stated at first distance and on the nearly middle direction is associated.

97. the method as described in claim 96, further comprises: plan or molding second on an at least tooth Tooth attaches device, to change the active surface of at least one tooth, wherein second tooth attaches device and in institute Second power stated at second distance and on the remote middle direction is associated.

98. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

Determine for buccal surface translation motion-vector, for by an at least tooth from be in the first stage first position It is moved to the second position in the second disposition stage；

Determine the first power in the X-Y plane of at least one tooth on the cheek side of at least one tooth and The second power in the X-Y plane in the tongue side of at least one tooth, first power be located relative to it is described at least First height of the rotation center of one tooth and second power are located relative in the rotation of at least one tooth Second height of the heart, second height is lower than first height；

Based in the X-Y plane on the cheek side of at least one tooth through determining first power and in institute Second power in X-Y plane in the tongue side of at least one tooth is stated to design the orthodontic appliance shape, with So that when practical orthodontic appliance associated with the orthodontic appliance shape through designing was located in for the first disposition stage The patient tooth on appropriate location when, by the X-Y plane on the cheek side of at least one tooth Application applies described the through determining first power and in the X-Y plane in the tongue side of at least one tooth Two power, according to moving an at least tooth from first position through the determining motion-vector about buccal surface translation Move the second position.

99. the method as described in claim 98, wherein second power is greater than first power.

100. the method as described in claim 98, wherein first power and second power lead to an at least tooth Total power on tooth is positive value, and topples over torque and be adjusted to 0.

101. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

Determine for tongue side translation motion-vector, for by an at least tooth from be in the first stage first position It is moved to the second position in the second disposition stage；

Determine the first power in the X-Y plane of at least one tooth on the cheek side of at least one tooth and The second power in the X-Y plane in the tongue side of at least one tooth, first power be located relative to it is described at least First height of the rotation center of one tooth and second power are located relative in the rotation of at least one tooth Second height of the heart, second height are higher than first height；

Based in the X-Y plane of at least one tooth on the cheek side of at least one tooth through determining First power and second power in the X-Y plane in the tongue side of at least one tooth are described to design Orthodontic appliance shape, so that when practical orthodontic appliance associated with the orthodontic appliance shape through designing is located at In first disposition the stage the patient tooth on appropriate location when, will in the X-Y plane it is described at least Apply through determining first power and in the X-Y plane on the cheek side of one tooth at least tooth Apply second power in tongue side, according at least one described about inciting somebody to action through the determining motion-vector for tongue side translation Tooth is moved to the second position from first position.

102. the method as described in claim 101, wherein second power is less than first power.

103. the method as described in claim 101, wherein first power and second power lead to an at least tooth Total power on tooth is positive value, and topples over torque and be adjusted to 0.

104. a kind of system for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, the system comprises:

Data storage cell；And

Processing unit is couple to the data storage cell and is configured to execute such as claim 92 to claim 103 Method described in middle any claim.

105. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

The motion-vector for tooth rotation is determined, for an at least tooth to be disposed the first of the stage from first Position is moved to the second position in the second disposition stage；

Determine the first power associated with the tongue side of at least one tooth and the cheek side phase at least one tooth Associated second power；

Based on it is associated with the tongue side of at least one tooth through determining first power and with described at least one The cheek side of tooth associated second power designs the orthodontic appliance shape so that when with through design it is described just It is suitable on the tooth for the patient that the abnormal associated practical orthodontic appliance of rectifier shape was located in for the first disposition stage When position, apply it is associated with the tongue side of at least one tooth through determining first power and with it is described extremely Associated second power in cheek side of a few tooth, with according to for tooth rotation through the determining motion-vector and An at least tooth is moved to the second position from the first position.

106. the method as described in claim 105, wherein first power and second power are perpendicular to described at least one In the plane of the Z axis of tooth.

107. the method as described in claim 105, wherein first power and second power are in the opposite direction.

108. the method as described in claim 107, wherein first power and second power generate that correspond to resulting net force be 0 Torque couple, to cause the moving in rotation of at least one tooth.

109. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

It determines and is used for the inclined motion-vector of tooth, for an at least tooth to be disposed the first of the stage from first Position is moved to the second position in the second disposition stage；

It determines in the first power on the cheek side of at least one tooth and the in the tongue side of at least one tooth The relative altitude of two power, first power and second power is different；

Based on the cheek side of at least one tooth through determining first power and in an at least tooth Tongue side on second power design the orthodontic appliance shape so that when and the orthodontic appliance through designing When appropriate location on the tooth for the patient that the associated practical orthodontic appliance of shape was located in for the first disposition stage, It applies on the cheek side of at least one tooth through determining first power and in the tongue of at least one tooth Apply second power on side, according to for the inclined at least tooth by described in through the determining motion-vector of tooth Tooth is moved to the second position from first position, and first power is different with the relative altitude of second power.

110. the method as described in claim 109, wherein first power and second power are generated along described at least one The torque of the Y-axis of tooth, and resulting net force obtained is 0.

111. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

It determines and is used for the inclined motion-vector of tooth, for an at least tooth to be disposed the first of the stage from first Position is moved to the second position in the second disposition stage；

It determines in the first power on occlusion direction and in the same plane in contrast to the second power on occlusion direction, leads to institute The inclination of at least one tooth is stated to reverse the root of the tooth of at least one tooth；

Based on occlusion direction through determining first power and in the same plane in contrast to the institute on occlusion direction The second power is stated to design the orthodontic appliance shape, so that when associated with the orthodontic appliance shape through designing When practical orthodontic appliance is located in the appropriate location on the tooth of the patient in the first disposition stage, in occlusion direction Upper application is through determining first power and in the same plane in contrast to second power is applied on occlusion direction, with basis Described is moved to by an at least tooth from first position through the determining motion-vector for tooth to be inclined The root of the tooth of at least one tooth is reversed in two positions.

112. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

The motion-vector for being used for tooth angulation is determined, for an at least tooth to be disposed the first of the stage from first Position is moved to the second position in the second disposition stage；

It determines in the first power on occlusion direction and in the same plane in contrast to the second power on occlusion direction, leads to institute State the angulation of at least one tooth；

Based on occlusion direction through determining first power and in contrast to second power on occlusion direction come The orthodontic appliance shape is designed, so that when practical correction associated with the orthodontic appliance shape through designing is rectified When appropriate location on the tooth for the patient that positive device was located in for the first disposition stage, apply on occlusion direction through true Fixed first power and apply second power in contrast to occlusion direction, with according to for tooth angulation through determination The motion-vector and an at least tooth is moved to the second position from first position.

113. a kind of system for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, the system comprises:

Data storage cell；And

Processing unit is couple to the data storage cell and is configured to execute such as claim 105 to claim 112 Method described in middle any claim.

114. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

The determining motion-vector for prominent movement, for an at least tooth to be disposed the first of the stage from first Position is moved to the second position in the second disposition stage；

Determine include Z axis plane on the cheek side of the tooth and be engaged direction on the first power and include Z axis Plane in the tongue side of the tooth and occlusion direction on the second power；

Based on include Z axis plane on the cheek side of the tooth and be engaged direction on through determining first power with And include Z axis plane in the tongue side of the tooth and be engaged direction on through determining second power to design Orthodontic appliance shape is stated, so that when practical orthodontic appliance position associated with the orthodontic appliance shape through designing When disposing the appropriate location on the tooth of the patient in stage in first, in the tooth in the plane for including Z axis On the cheek side of tooth and it is engaged on direction and applies through determining first power and in the plane for including Z axis in the tooth Apply in tongue side and on occlusion direction through determining second power, with according to for it is outstanding through the determining movement to It measures and an at least tooth is moved to the second position from the first position.

115. the method as described in claim 114, wherein first power and second power cause size to center of rotation Equal, the reversed opposite arm of force, is cancelled to topple over torque, and power obtained includes protruding.

116. the method as described in claim 114, wherein design the orthodontic through determining force component based on described The step of device shape include: bulging the surface through molding rectifier so that the surface not be in passive state institute The corona for stating at least one tooth is in contact.

117. a kind of method for designing orthodontic appliance, from the orthodontic appliance was used for from the first disposition stage to second The stage is set to move at least tooth of patient, which comprises

Determine for depressing motion-vector, for by an at least tooth from first disposition the stage first position It is moved to the second position in the second disposition stage；

Determine the first power in the plane for including Z axis on the cheek side of the tooth and on the direction contrary with being engaged And include Z axis plane in the tongue side of the tooth and with second be engaged on contrary direction Power；

Based on include Z axis plane on the cheek side of the tooth and on the direction contrary with being engaged through determination First power and in the tongue side of the tooth and be engaged contrary side with described in the plane for including Z axis Upward second power designs the orthodontic appliance shape so that when and the orthodontic appliance shape through designing When associated practical orthodontic appliance is located in the appropriate location on the tooth of the patient in the first disposition stage, Apply on the cheek side of the tooth and on the direction contrary with being engaged in plane including Z axis through determining described the One power and apply in the plane for including Z axis in the tongue side of the tooth and with described be engaged on contrary direction Through determining second power, according at least tooth by described in through the determining motion-vector for being used for tooth angulation Tooth is moved to the second position from the first position.

118. the method as described in claim 117, wherein first power and second power cause size to center of rotation Equal, the reversed opposite arm of force, is cancelled to topple over torque, and power obtained includes pushing.

119. the method as described in claim 117, wherein design the orthodontic through determining force component based on described The step of device shape include: bulging the surface through molding rectifier so that the surface not be in passive state institute The corona for stating at least one tooth is in contact.

120. a kind of system for designing orthodontic appliance shape, the orthodontic appliance shape be used for according to disposition plan and Moving teeth, the system comprises:

Data storage cell；And

Processing unit is couple to the data storage cell and is configured to execute such as claim 114 to claim 119 Method described in middle any claim.