CN105389444B - A kind of gum edge curve design method of personalization tooth-implanting - Google Patents
A kind of gum edge curve design method of personalization tooth-implanting Download PDFInfo
- Publication number
- CN105389444B CN105389444B CN201510926556.8A CN201510926556A CN105389444B CN 105389444 B CN105389444 B CN 105389444B CN 201510926556 A CN201510926556 A CN 201510926556A CN 105389444 B CN105389444 B CN 105389444B
- Authority
- CN
- China
- Prior art keywords
- tooth
- gum edge
- curve
- patient
- gum
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F16/00—Information retrieval; Database structures therefor; File system structures therefor
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Geometry (AREA)
- General Physics & Mathematics (AREA)
- Computer Hardware Design (AREA)
- General Engineering & Computer Science (AREA)
- Civil Engineering (AREA)
- Architecture (AREA)
- Databases & Information Systems (AREA)
- Data Mining & Analysis (AREA)
- Structural Engineering (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Evolutionary Computation (AREA)
- Dental Tools And Instruments Or Auxiliary Dental Instruments (AREA)
Abstract
The present invention proposes a kind of gum edge curve design method of personalized tooth-implanting, includes the following steps to solve the deficiency of existing gum edge curve extracting mode：Step 1, the residual tooth of reconstruct missing tooth patient and the three-dimensional dentognathic model gum edge profile of sample respectively, according to the obtained characteristic area of maximum principal curve value extraction gum edge curve, and the gum edge characteristic curve for remaining tooth and sample of method extraction missing tooth patient being combined using Granule Computing and cellular automata；Then it is fitted the gum edge indicatrix of the residual tooth of missing tooth patient and the dentognathic model of sample respectively；Finally the residual tooth of structure missing tooth patient and the single tooth gum edge curve of sample, step 2, build the gum edge biological multielement Statistic analysis models of sample, step 3, design the personalized gum edge curve of patient's missing tooth, purpose is to improve the accuracy and efficiency of plantation gingival margin Curve Design, improves the gum edge outline shape of plantation dental restortion, improve the success rate of personalized plantation dental restortion.
Description
Technical field
The present invention relates to a kind of gum edge curve design methods of personalized tooth-implanting, belong to tooth-implanting area of computer aided and set
Meter, is related to biomedical engineering technology field.
Background technology
Gum edge outline shape has an important influence on to planting the plantation of base station and the reparation of artificial tooth, different gum edge wheel profiles
The base station stress that state is planted is different, while influences to plant the health and service life of dental case.Traditional dentures repai side
Method simulates gum edge outline shape generally according to expertise using hand engraving wax pattern or the method for plaster cast.Due to human body
Intra-oral anatomy structure is more complicated, and in addition the gum edge outline shape difference of different human body is larger, using this Manual Repair Methods
There are problems that accuracy difference and efficiency are low etc..
As computer technology is in the development of biomedical engineering field, digitizing technique obtains in terms of dentistry
Extensive use becomes missing tooth patient and carries out information collection and the main tool rebuild.Due to by definite measured precision and net
The factors such as lattice reconstruction influence, and triangle gridding dentognathic model is sticked together, without clearly partitioning boundary, therefore right between tooth
Missing tooth patient carries out gum edge Curve Design and brings very big difficulty.Existing technical literature is retrieved and is found, traditional gum edge
Extracting method mainly uses manual interactive segmentation method.Kondo etc. is in academic journal《IEEE Transactions on
Medical Imaging》(2004,23(3):Publish thesis " Tooth Segmentation of Dental on 350-362)
In Study Models Using Range Images ", propose the gum edge extraction method based on depth image, improve
The efficiency and precision of gum edge contours extract, this method utilize the tooth detected in the plane depth image of triangle grid model
Characteristic point is fitted arch wire, and arch wire is unfolded and calculates panoramic range image, is then visited in plan view and panorama sketch respectively
Teeth space and Gingival marge location are surveyed, the partitioning boundary of every tooth is finally determined according to the result of two images, due to depth image simultaneously
Cannot accurately reflect the three-dimensional information of tooth, thus this method severe deformities and between cog Interference Model will appear it is larger
Divide deviation.Yuan Tianran etc. is in academic journal《CAD and graphics journal》(2010,22(4):On 703-710)
It publishes thesis in " the teeth patterning modeling method of three-dimensional dentognathic model ", utilizes morphology and hole repair technology extraction gum edge spy
Line is levied, and recovers every tooth with the continuous anatomic form of single order, but this method needs largely during realizing
Manual intervention, the degree of automation is not high, needs more artificial experience, so as to influence the accuracy of design efficiency and modeling.
In conclusion carrying out oral artificial tooth reparation using digitizing technique, patient teeth is obtained by data acquisition equipment
Surface data information, by 3-D view technology reengineering triangle grid model, according to patient teeth's individual particularity, with reference to clinic
Experience carries out personalized tooth-implanting design, wherein, gum edge Curve Design is a crucial skill in digitalized oral cavity repair capsule
Art, it has also become the technical issues of those skilled in the art are badly in need of solving.
Invention content
The technical problems to be solved by the invention are the deficiencies for existing method, propose a kind of gum of personalized tooth-implanting
Edge curve design method carries out information collection, feature extraction, Data Matching, patient's missing tooth personalization gum edge curve weight automatically
It builds, it is therefore intended that the accuracy and efficiency of plantation gingival margin Curve Design is improved, improves the gum edge outline shape of plantation dental restortion,
Improve the success rate of personalized plantation dental restortion.
The present invention provides：A kind of gum edge curve design method of personalization tooth-implanting, which is characterized in that including walking as follows
Suddenly：
Step 1 reconstructs the residual tooth of missing tooth patient and the three-dimensional dentognathic model gum edge profile of sample, counts first respectively
Calculate the residual tooth of missing tooth patient and the tooth jaw triangle gridding vertex p of sampleiThe maximum principal curvatures at place：
Wherein kmaxFor tooth jaw triangle gridding vertex piThe maximum principal curvatures at place, kHFor average principal curvatures, kGFor Gaussian curvature,
According to the characteristic area of obtained maximum principal curve value extraction gum edge curve, and it is combined using Granule Computing and cellular automata
Method extraction missing tooth patient residual tooth and sample gum edge characteristic curve；
Then it is fitted the gum edge indicatrix of the residual tooth of missing tooth patient and the dentognathic model of sample respectively；
Finally the residual tooth of structure missing tooth patient and the single tooth gum edge curve of sample,
Step 2 builds the gum edge biological multielement Statistic analysis models of sample,
Step 3 designs the personalized gum edge curve of patient's missing tooth.
In step 1, the method that the Granule Computing and cellular automata are combined is as follows：
1) number of dentognathic model Tooth is set as N, using the thought of Granule Computing, from tongue side and cheek side both direction by gum
Edge characteristic area is respectively classified into N number of cellular information, obtains 2N cellular information, using each triangle gridding vertex as one
Cellular, optimization object function are：
In formula, kmax(pi) and kmax(pj) vertex p is represented respectivelyiAnd pjMaximum principal curve value, | | pi-pj| | represent vertex
piAnd pjEuclidean distance between 2 points, to each cellular information in 2N cellular information, with formula (2) for optimization aim,
It is optimized using cellular automation method, searches for the data point of gum edge characteristic curve, and obtained data point is sequentially connected,
Obtain the gum edge characteristic curve of cellular information；
2) data point of head and the tail gum edge characteristic curve in adjacent cellular information is sequentially connected respectively, obtained with the triangulation network
Gum edge characteristic curve of the lattice vertex for the dentognathic model of data point, so as to obtain the residual tooth of missing tooth patient and the tooth jaw mould of sample
The gum edge characteristic curve of type.
In the step 1, using nurbs curve approximating method, a k nurbs curve is built, expression formula is：
In formula, k is power, ωiFor weight factor, ViVertex in order to control, Ni,k(u) it is k B-spline basic function, B-spline base letter
Number can obtain by recurrence formula：
In formula, uiFor node, i=0,1 ..., n,
The quadratic sum of the deviation target as an optimization between the data point of gum edge characteristic curve and NURBS matched curves, then
The optimization object function of nurbs curve fitting is represented by：
With formula (5) for optimization aim, nurbs curve fitting is carried out according to formula (3) and formula (4), respectively obtains tongue side and cheek
The gum edge indicatrix of side, it is bent so as to respectively obtain the gum edge characteristic curve of the dentognathic model of the residual tooth of missing tooth patient and sample
Line.
In step 1, gingival margin indicatrix preparation method is as follows：Tooth is determined according to the curvature of gum edge indicatrix first
Position is stitched, is then carried out curve fitting to the gum edge of single tooth, the specific implementation process is as follows,
1) the residual tooth of missing tooth patient and the data point of the teeth space position of sample are determined：It is bent according to the gum edge feature of fitting
Line seeks second order local derviation, obtains the position of the maximum curvature of gum edge characteristic curve curve, so as to determine every tooth tongue side, jaw cheek side respectively
With the data point of teeth space position；
2) the residual tooth of fitting missing tooth patient and the single tooth gum edge curve of sample：Every tooth is obtained by the above method
Tongue side, cheek side and the gum of teeth space position edge data point, at the teeth space position of phase adjacent teeth gum edge curve use tangent constraint
The gum edge data point of every tooth is fitted to a closed curve, so as to build every by condition using nurbs curve approximating method
The gum edge curve of tooth.
Step 2 includes the following steps：Step 1 carries out automatic Calibration according to tooth anatomy feature to gum edge indicatrix；
Step 2, the gum edge skeleton pattern with Multielement statistical analysis method structure with biological multielement statistical analysis.
The step 1 is as follows：1) according to the gum edge curve of every tooth, the life of cheek side, tongue side, nearly middle side and remote middle side is determined
Object anatomical location node；2) for 4 key organism anatomical location nodes on obtained every gingival margin profile, to every
Gum edge curve obtains 2 intermediate nodes into row interpolation between a two adjacent nodes of locations, so as to obtain every gingival margin song
12 mark points of line, 12 mark points represent the gum edge outline shape of every tooth.
The specific implementation process of gum edge skeleton pattern is in the step 2：
1) sample number is set as h, then sample matrix Z is represented by：
In formula, Zj=(z1j,z2j,…,zhj) ', j=1,2 ..., p；
2) characteristic value of the correlation matrix R of sample and corresponding feature vector μ are solved using Jacobi methods1,
μ2,…,μp, the wherein characteristic value of correlation matrix R is λ1,λ2,…,λp, and meet λ1≥λ2≥…≥λp＞ 0, obtain as
Lower expression formula：
In formula, μijComponent for the feature vector corresponding to the characteristic value of the correlation matrix R of sample；
3) gum edge skeleton pattern of the structure with biological multielement statistical analysis, the gum edge skeleton pattern are expressed as：
The design method of gum edge curve is as follows in step 3：
1) given data of the mark point of gingival margin is remained according to biological multielement statistical analysis gum edge skeleton pattern and patient,
The gum edge outline shape that patient includes residual tooth and missing tooth is built, model can be expressed as：
In formula, Z ' is the gum edge mark tally evidence of patient, and the gum edge of residual tooth and missing tooth including patient marks
Point,D ' is the independent integrated data vector that patient remains tooth and missing tooth, and Y ' remains the gum edge of tooth according to patient
Outline shape determines；
2) according to the gum edge outline shape of patient's missing tooth of structure, using nurbs curve approximating method, build patient's
The gum edge curve of missing tooth, so as to obtain institute's gum edge contour curve dentulous of patient.
The present invention compared with prior art, has following technical advantage using above-mentioned technical proposal：
The present invention need not manufacture wax-pattern and casting pattern, by 3-D view technology reengineering triangle grid model, pass through meter
Calculation machine carries out information collection automatically, and feature extraction, Data Matching, patient personalized gum edge outline shape are rebuild, automatically and accurately
Build the gum edge curve of missing tooth patient.
Description of the drawings
The gum edge Curve Design flow chart of the personalized tooth-implanting of Fig. 1 present invention.
Fig. 2 a and Fig. 2 b are respectively that the gum edge of the dentognathic model extraction of the residual tooth and sample of missing tooth patient of the present invention is special
Levy curve graph.
Fig. 3 a and Fig. 3 b are respectively the gum edge song of the residual tooth for the missing tooth patient that the present invention is built and every tooth of sample
Line chart.
Every gingival margin outline shape figure that Fig. 4 12 mark points of the present invention represent.
The gum edge curve graph for the missing tooth patient that Fig. 5 present invention is built.
Specific embodiment
Embodiments of the present invention is further illustrated below in conjunction with the accompanying drawings：
It is lacked as shown in Figure 1, the intelligent gum edge Curve Design process based on living things feature recognition model mainly includes reconstruct
Lose the residual tooth of tooth patient and the three-dimensional dentognathic model gum edge profile of sample, the gum edge biological multielement statistical analysis mould for building sample
Type, three steps such as personalized gum edge Curve Design of patient's missing tooth, specific implementation step are as follows：
Step 1 reconstructs the residual tooth of missing tooth patient and the three-dimensional dentognathic model gum edge profile of sample respectively；
The residual tooth of missing tooth patient and the tooth jaw triangle gridding vertex p of sample are calculated firstiThe maximum principal curvatures at place：
Wherein kmaxFor tooth jaw triangle gridding vertex piThe maximum principal curvatures at place, kHFor average principal curvatures, kGFor Gaussian curvature,
According to the characteristic area of obtained maximum principal curve value extraction gum edge curve, and it is combined using Granule Computing and cellular automata
Method extraction missing tooth patient residual tooth and sample gum edge characteristic curve, the specific implementation process is as follows：
1) number of dentognathic model Tooth is set as N, using the thought of Granule Computing, from tongue side and cheek side both direction by gum
Edge characteristic area is respectively classified into N number of cellular information, obtains 2N cellular information, using each triangle gridding vertex as one
Cellular, optimization object function are：
In formula, k is representedmax(pi) and kmax(pj) vertex p is represented respectivelyiAnd pjMaximum principal curve value, | | pi-pj| | it represents
Vertex piAnd pjEuclidean distance between 2 points is optimization with formula (2) to each cellular information in 2N cellular information
Target is optimized using cellular automation method, searches for the data point of gum edge characteristic curve, and by obtained data point successively
It is connected, obtains the gum edge characteristic curve of cellular information；
2) data point of head and the tail gum edge characteristic curve in adjacent cellular information is sequentially connected respectively, obtained with the triangulation network
Gum edge characteristic curve of the lattice vertex for the dentognathic model of data point, so as to obtain the residual tooth of missing tooth patient and the tooth jaw mould of sample
The gum edge characteristic curve of type, as shown in Figure 2 a and 2 b.
Then the gum edge characteristic curve of the dentognathic model of the residual tooth and sample of fitting missing tooth patient；
Using triangle gridding vertex as the residual tooth of the missing tooth patient of data point and the gum edge characteristic curve of dentognathic model be by
A series of micro line segment compositions, practical gum edge characteristic curve is a curve, and teeth space position is in gum edge indicatrix maximum curvature
Position, it is therefore desirable to carry out curve fitting to gum edge characteristic curve, according to a series of micro line segments of gum edge characteristic curve, using NURBS
Curve-fitting method, builds a k nurbs curve, and expression formula is：
In formula, k is power, ωiFor weight factor, ViVertex in order to control, Ni,k(u) it is k B-spline basic function, B-spline base letter
Number can obtain by recurrence formula：
In formula, uiFor node, i=0,1 ..., n.
The quadratic sum of the deviation target as an optimization between the data point of gum edge characteristic curve and NURBS matched curves, then
The optimization object function of nurbs curve fitting is represented by：
With formula (5) for optimization aim, nurbs curve fitting is carried out according to formula (3) and formula (4), respectively obtains tongue side and cheek
The gum edge indicatrix of side, it is bent so as to respectively obtain the gum edge characteristic curve of the dentognathic model of the residual tooth of missing tooth patient and sample
Line.
Finally the residual tooth of structure missing tooth patient and the single tooth gum edge curve of sample；Wherein first according to gum edge feature
Bent curvature of a curve determines teeth space position, then carries out curve fitting to the gum edge of single tooth, the specific implementation process is as follows：
1) the residual tooth of missing tooth patient and the data point of the teeth space position of sample are determined：It is bent according to the gum edge feature of fitting
Line seeks second order local derviation, obtains the position of the maximum curvature of gum edge characteristic curve curve, so as to determine every tooth tongue side, jaw cheek side respectively
With the data point of teeth space position；
2) the residual tooth of fitting missing tooth patient and the single tooth gum edge curve of sample：Every tooth is obtained by the above method
Tongue side, cheek side and the gum of teeth space position edge data point, but lack gum edge number between tongue side and jaw cheek side teeth space position data point
For the gum edge curve lacked between completion teeth space position, it is bent to be fitted to a closing by strong point for the gum edge data point of every tooth
Line builds the gum edge curve of every tooth, according to the gum edge data point of every tooth, with gum edge curve phase at the teeth space position of phase adjacent teeth
Constraints is cut to, nurbs curve approximating method is respectively adopted and carries out curve fitting to the gum edge profile of single tooth, so as to structure
The gum edge curve of every tooth is built, as shown in Figure 3a and Figure 3b shows.
Step 2 builds the gum edge biological multielement Statistic analysis models of sample, including：
Step 1, the gum edge outline shape to obtain with biotomy feature, according to tooth anatomy feature to gum edge song
Line carries out automatic Calibration；
1) according to the gum edge indicatrix of every tooth, the biotomy position of cheek side, tongue side, nearly middle side and remote middle side is determined
Node is put, the biotomy nodes of locations of nearly middle side and remote middle side is in two adjacent two teeth teeth space tangency location nodes, cheek
Intersection point of the anatomical location node of side for the normal of arch wire and the gum edge indicatrix of cheek side, the anatomical location section of tongue side
It puts as the normal of arch wire and the intersection point of the gum edge indicatrix of tongue side, obtains 4 key organism anatomical location nodes；
2) for 4 key organism anatomical location nodes on obtained every gingival margin profile, respectively to adjacent
Gum edge curve obtains 2 intermediate nodes into row interpolation between two nodes of locations, so as to obtain the 12 of every gingival margin curve
Mark point, 12 mark points represent the gum edge outline shape of every tooth, as shown in figure 4, by institute's gum edge silhouette markup dentulous
Point sorts along dental arch direction sequence, and the data of the gum edge mark point of the jth tooth of i-th of dentognathic model can represent as follows：
(xij,yij,zij) (10)
In formula, j=1 ..., 12, then the gum edge mark point availability vector of i-th of dentognathic model be expressed as：
(zi1,zi2,…,zip) (11)
In formula, zi1=xi1, xi2=yi1, zi3=zi1..., zip-2=xiN, zip-1=yiN, zp=ziN, p=3N, N=12M,
M is the tooth number of dentognathic model.
Step 2, the gum edge skeleton pattern with Multielement statistical analysis method structure with biological multielement statistical analysis.
The specific implementation process of gum edge skeleton pattern is in the step 2：
1) sample number is set as h, then sample matrix Z is represented by：
In formula, Zj=(z1j,z2j,…,zhj) ', j=1,2 ..., p.
2) characteristic value of the correlation matrix R of sample and corresponding feature vector μ are solved using Jacobi methods1,
μ2,…,μp, the wherein characteristic value of correlation matrix R is λ1,λ2,…,λp, and meet λ1≥λ2≥…≥λp＞ 0, obtain as
Lower expression formula：
In formula, μijComponent for the feature vector corresponding to the characteristic value of the correlation matrix R of sample；
3) gum edge skeleton pattern of the structure with biological multielement statistical analysis, the gum edge skeleton pattern are expressed as：
In formula,For the average value of sample, A is the matrix of p × m, i
=1,2 ..., m, T=(t1,t2,…,tp) ',
Step 3 designs the personalized gum edge curve of patient's missing tooth.
The design method is as follows：1) mark of gingival margin is remained according to biological multielement statistical analysis gum edge skeleton pattern and patient
Remember the given data of point, structure patient includes the gum edge outline shape of residual tooth and missing tooth, and model can be expressed as：
In formula, Z ' is the gum edge mark tally evidence of patient, and the gum edge of residual tooth and missing tooth including patient marks
Point,The gum edge outline shape that Y ' remains tooth according to patient determines；
2) according to the gum edge outline shape of patient's missing tooth of structure, using nurbs curve approximating method, build patient's
The gum edge curve of missing tooth, so as to obtain institute's gum edge contour curve dentulous of patient, as shown in Figure 5.
The foregoing is merely the preferred embodiments of the present invention, are not intended to limit the invention, all spirit in the present invention
With all any modification, equivalent and improvement made within principle etc., should all be included in the protection scope of the present invention.
Claims (8)
1. a kind of gum edge curve design method of personalization tooth-implanting, which is characterized in that include the following steps：
Step 1, reconstructs the residual tooth of missing tooth patient and the three-dimensional dentognathic model gum edge profile of sample respectively, calculates lack first
Lose the residual tooth of tooth patient and the tooth jaw triangle gridding vertex p of sampleiThe maximum principal curvatures at place：
Wherein kmaxFor tooth jaw triangle gridding vertex piThe maximum principal curvatures at place, kHFor average principal curvatures, kGFor Gaussian curvature, according to
The characteristic area of obtained maximum principal curve value extraction gum edge curve, and the side being combined using Granule Computing and cellular automata
The residual tooth of method extraction missing tooth patient and the gum edge characteristic curve of sample；
Then it is fitted the gum edge indicatrix of the residual tooth of missing tooth patient and the dentognathic model of sample respectively；
Finally the residual tooth of structure missing tooth patient and the single tooth gum edge curve of sample,
Step 2 builds the gum edge biological multielement Statistic analysis models of sample,
Step 3 designs the personalized gum edge curve of patient's missing tooth.
2. a kind of gum edge curve design method of personalized tooth-implanting according to claim 1, it is characterised in that：Step 1
In, the method that the Granule Computing and cellular automata are combined is as follows：
1) number of dentognathic model Tooth is set as N, it is from tongue side and cheek side both direction that gum edge is special using the thought of Granule Computing
Sign region is respectively classified into N number of cellular information, 2N cellular information is obtained, using each triangle gridding vertex as a member
Born of the same parents, optimization object function are：
In formula, kmax(pi) and kmax(pj) vertex p is represented respectivelyiAnd pjMaximum principal curve value, | | pi-pj| | represent vertex piWith
pjEuclidean distance between 2 points to each cellular information in 2N cellular information, with formula (2) for optimization aim, is adopted
It is optimized with cellular automation method, searches for the data point of gum edge characteristic curve, and obtained data point is sequentially connected, obtained
To the gum edge characteristic curve of cellular information；
2) data point of head and the tail gum edge characteristic curve in adjacent cellular information is sequentially connected respectively, obtained with triangle gridding top
Gum edge characteristic curve of the point for the dentognathic model of data point, so as to obtain the dentognathic model of the residual tooth of missing tooth patient and sample
Gum edge characteristic curve.
3. a kind of gum edge curve design method of personalized tooth-implanting according to claim 1, it is characterised in that：The step
In rapid one, using nurbs curve approximating method, a k nurbs curve is built, expression formula is：
In formula, k is power, ωiFor weight factor, ViVertex in order to control, Ni,k(u) for k B-spline basic function, B-spline basic function by
Recurrence formula can obtain：
In formula, uiFor node, i=0,1 ..., n,
The quadratic sum of the deviation target as an optimization between the data point of gum edge characteristic curve and NURBS matched curves, then NURBS is bent
The optimization object function of line fitting is represented by：
With formula (5) for optimization aim, according to formula (3) and formula (4) progress nurbs curve fitting, tongue side and cheek side are respectively obtained
Gum edge indicatrix, so as to respectively obtain the gum edge characteristic curve curve of the dentognathic model of the residual tooth of missing tooth patient and sample.
A kind of 4. gum edge curve design method of personalized tooth-implanting according to claim 1, which is characterized in that step 1
In, gingival margin indicatrix preparation method is as follows：Teeth space position is determined according to the curvature of gum edge indicatrix first, then to list
The gum edge of tooth carries out curve fitting, the specific implementation process is as follows,
1) the residual tooth of missing tooth patient and the data point of the teeth space position of sample are determined：It is asked according to the gum edge indicatrix of fitting
Second order local derviation obtains the position of the maximum curvature of gum edge characteristic curve curve, so as to determine every tooth tongue side, jaw cheek side and tooth respectively
Stitch the data point of position；
2) the residual tooth of fitting missing tooth patient and the single tooth gum edge curve of sample：The tongue of every tooth is obtained by the above method
The gum edge data point of side, cheek side and teeth space position, gum edge curve uses tangent constraints at the teeth space position of phase adjacent teeth,
The gum edge data point of every tooth is fitted to by a closed curve using nurbs curve approximating method, so as to build every tooth
Gum edge curve.
A kind of 5. gum edge curve design method of personalized tooth-implanting according to claim 1, which is characterized in that step 2
Include the following steps：Step 1 carries out automatic Calibration according to tooth anatomy feature to gum edge indicatrix；Step 2, with polynary system
Count gum edge skeleton pattern of the analysis method structure with biological multielement statistical analysis.
A kind of 6. gum edge curve design method of personalized tooth-implanting according to claim 5, which is characterized in that the step
Rapid 1 is as follows：1) according to the gum edge curve of every tooth, the biotomy position section of cheek side, tongue side, nearly middle side and remote middle side is determined
Point；2) for 4 key organism anatomical location nodes on obtained every gingival margin profile, to each two adjacent positions
Gum edge curve obtains 2 intermediate nodes into row interpolation between putting node, so as to obtain the 12 of every gingival margin curve mark points,
12 mark points represent the gum edge outline shape of every tooth.
A kind of 7. gum edge curve design method of personalized tooth-implanting according to claim 5, which is characterized in that the step
The specific implementation process of gum edge skeleton pattern is in rapid 2：
1) sample number is set as h, then sample matrix Z is represented by：
In formula, Zj=(z1j,z2j,…,zhj) ', j=1,2 ..., p；
2) characteristic value of the correlation matrix R of sample and corresponding feature vector μ are solved using Jacobi methods1,μ2,…,
μp, the wherein characteristic value of correlation matrix R is λ1,λ2,…,λp, and meet λ1≥λ2≥…≥λp＞ 0, obtains such as following table
Up to formula：
In formula, μijComponent for the feature vector corresponding to the characteristic value of the correlation matrix R of sample；
3) gum edge skeleton pattern of the structure with biological multielement statistical analysis, the gum edge skeleton pattern are expressed as：
In formula,For the average value of sample, A is the matrix of p × m, T
=(t1,t2,…,tm) ',
A kind of 8. gum edge curve design method of personalized tooth-implanting according to claim 1, which is characterized in that step 3
The design method of middle gum edge curve is as follows：
1) given data of the mark point of gingival margin, structure are remained according to biological multielement statistical analysis gum edge skeleton pattern and patient
Patient includes the gum edge outline shape of residual tooth and missing tooth, and model can be expressed as：
In formula, Z ' be patient gum edge mark tally evidence, including patient residual tooth and missing tooth gum edge mark point,D ' is the independent integrated data vector that patient remains tooth and missing tooth, and Y ' remains the gum edge wheel of tooth according to patient
Profile state determines；
2) according to the gum edge outline shape of patient's missing tooth of structure, using nurbs curve approximating method, the missing of patient is built
The gum edge curve of tooth, so as to obtain institute's gum edge contour curve dentulous of patient.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510926556.8A CN105389444B (en) | 2015-12-14 | 2015-12-14 | A kind of gum edge curve design method of personalization tooth-implanting |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510926556.8A CN105389444B (en) | 2015-12-14 | 2015-12-14 | A kind of gum edge curve design method of personalization tooth-implanting |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105389444A CN105389444A (en) | 2016-03-09 |
| CN105389444B true CN105389444B (en) | 2018-06-29 |
Family
ID=55421728
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510926556.8A Expired - Fee Related CN105389444B (en) | 2015-12-14 | 2015-12-14 | A kind of gum edge curve design method of personalization tooth-implanting |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN105389444B (en) |
Families Citing this family (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106037979B (en) * | 2016-05-16 | 2017-12-12 | 杭州美齐科技有限公司 | One kind digitlization gum line extracting method |
| WO2018036853A1 (en) * | 2016-08-26 | 2018-03-01 | Vita Zahnfabrik H. Rauter Gmbh & Co. Kg | Tooth unit and method for producing a denture base |
| TWI693928B (en) * | 2018-11-06 | 2020-05-21 | 國立陽明大學 | Topology optimization integration method and bone repair block structure and method produced by the method |
| CN110269703B (en) * | 2019-06-18 | 2021-02-09 | 成都玻尔兹曼智贝科技有限公司 | Method for generating occlusion curve of mandibular tooth model |
| CN111524065B (en) * | 2020-03-12 | 2023-05-23 | 浙江工业大学 | Automatic generation method of dental implant personalized abutment based on dental crown |
| CN111716727B (en) * | 2020-05-20 | 2021-08-17 | 北京联袂义齿技术有限公司 | Digital manufacturing method based on Loactor planting base station |
| US10945812B1 (en) | 2020-07-24 | 2021-03-16 | Oxilio Ltd | Systems and methods for planning an orthodontic treatment |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103700103A (en) * | 2013-12-05 | 2014-04-02 | 嘉兴学院 | Method for automatically extracting gingiva curves of three-dimensional digital dentition model |
| CN104715475A (en) * | 2015-01-22 | 2015-06-17 | 中南大学 | Automatic whole dental crown segmentation method through harmonic-field-based three-dimensional tooth jaw model |
Family Cites Families (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2004110309A2 (en) * | 2003-06-11 | 2004-12-23 | Case Western Reserve University | Computer-aided-design of skeletal implants |
| US9474582B2 (en) * | 2010-08-25 | 2016-10-25 | Siemens Aktiengesellschaft | Personalized orthopedic implant CAD model generation |
-
2015
- 2015-12-14 CN CN201510926556.8A patent/CN105389444B/en not_active Expired - Fee Related
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103700103A (en) * | 2013-12-05 | 2014-04-02 | 嘉兴学院 | Method for automatically extracting gingiva curves of three-dimensional digital dentition model |
| CN104715475A (en) * | 2015-01-22 | 2015-06-17 | 中南大学 | Automatic whole dental crown segmentation method through harmonic-field-based three-dimensional tooth jaw model |
Non-Patent Citations (1)
| Title |
|---|
| 数字化口腔种植关键基础技术研究;吴婷;《中国博士学位论文全文数据库 信息科技辑》;20131015;第I138-55/35-85页 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN105389444A (en) | 2016-03-09 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN105389444B (en) | A kind of gum edge curve design method of personalization tooth-implanting | |
| CN105748163B (en) | Computer-aided tooth bracket-free invisible appliance design method | |
| CN102933171B (en) | dynamic virtual articulator | |
| CN108024841B (en) | Dental modeling system | |
| CN100569195C (en) | Manufacturing method of fine personalized skull model capable of describing teeth occluding relation | |
| CN104739548B (en) | System for designing individual artificial knee joint prosthesis based on parameter driving | |
| CN112690914B (en) | Tooth modeling method with gingiva suitable for digital orthodontic treatment | |
| US20060127854A1 (en) | Image based dentition record digitization | |
| CN109903396A (en) | A kind of tooth three-dimensional model automatic division method based on surface parameterization | |
| CN108986111B (en) | Three-dimensional dental model segmentation method for computer-aided invisible orthodontics | |
| CN104715099B (en) | Virtual articulator design method for tooth crown bridge working bite relation face | |
| CN103156693B (en) | Manufacturing method of tooth implantation operation guide plate based on body image processing | |
| CN103700103A (en) | Method for automatically extracting gingiva curves of three-dimensional digital dentition model | |
| CN106570859B (en) | Tooth image analysis system | |
| CN112790879B (en) | Tooth axis coordinate system construction method and system of tooth model | |
| CN101706971A (en) | Automatic division method of dental crowns in dental models | |
| CN104867131A (en) | Dental crown data extraction method based on digital model | |
| CN110811653A (en) | Method for measuring tooth three-dimensional movement in orthodontic process | |
| CN102194030A (en) | Implant denture individual abutment design method based on healing abutment dental model | |
| CN102254317A (en) | Method for automatically extracting dental arch curved surface in dental implantation navigation | |
| CN110179192A (en) | A kind of measuring system and its measurement method of human 3d model | |
| CN108852540A (en) | For obtaining the system and method for digitizing stamp in mouth | |
| CN104657519B (en) | The method for establishing the statistical average model of dento enamel junction | |
| CN110378941A (en) | A kind of Rigid Registration method obtaining Middle face Occluded target reference data | |
| CN116958169A (en) | Tooth segmentation method for three-dimensional dental model |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20180629 Termination date: 20211214 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |