CN110164558A - A kind of method of tooth model parametrization - Google Patents
A kind of method of tooth model parametrization Download PDFInfo
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- CN110164558A CN110164558A CN201910446625.3A CN201910446625A CN110164558A CN 110164558 A CN110164558 A CN 110164558A CN 201910446625 A CN201910446625 A CN 201910446625A CN 110164558 A CN110164558 A CN 110164558A
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- G—PHYSICS
- G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
- G16H—HEALTHCARE INFORMATICS, i.e. INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR THE HANDLING OR PROCESSING OF MEDICAL OR HEALTHCARE DATA
- G16H50/00—ICT specially adapted for medical diagnosis, medical simulation or medical data mining; ICT specially adapted for detecting, monitoring or modelling epidemics or pandemics
- G16H50/50—ICT specially adapted for medical diagnosis, medical simulation or medical data mining; ICT specially adapted for detecting, monitoring or modelling epidemics or pandemics for simulation or modelling of medical disorders
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
Abstract
The invention discloses a kind of methods of tooth model parametrization, comprising: calculates institute's geometric center point dentulous；It is fitted maxillary teeth jaw plane and lower jaw tooth jaw plane, and calculates dental arch of maxilla curve and mandibular dental arch curve；Determine the cusp of the canine tooth of the upper jaw and lower jaw；Determine near and far point, nearly midpoint and the remote midpoint of tooth；Tooth coordinate system is determined according to cusp, near and far point, nearly midpoint and remote midpoint；Calculate FA point, central point and the incisxal edge point of tooth and the near and far cheek point of accessional teeth；Carry out lip cheek to adjustment, tongue jaw to adjustment, single tooth characteristic point adjustment and the long axial adjustment of original dental mould；Single jaw tooth is according to tooth position sequence, since incisor, on the basis of dental arch middle line, arranges along dental arch；Single tooth calculates crashworthness to the lesser adjacent teeth in tooth position number, according to the mobile nearly middle marginal point of crashworthness.The present invention effectively increases the accuracy and reasonability of parameter after tooth model parametrization.
Description
Technical field
The present invention relates to a kind of methods of tooth model parametrization.
Background technique
Tooth model parametrization, which refers to, is abstracted into tooth model by a three-dimensional coordinate system and several characteristic points
Combination, for use in the calculating and description of position in space and posture.Mould is stung by 3D scanning patient, obtains patient teeth
Digital three-dimemsional model, using the operation of identification cutting, the independent mathematical model of available every tooth uses tooth
The method of model parameterization, the three-dimensional coordinate system and characteristic point of available tooth model.
Current widely applied tooth model parametric technology, is primarily present two big defects:
1) high to the integrality dependence of patient teeth.
A) existing tooth model parametric technology is all the Morphological Features according to tooth model itself, passes through marker characteristic
The calculating of point and characteristic point, obtains the three-dimensional coordinate system of tooth model, however, the tooth of patient is past in actual case
Toward the case where will appear defect, abrasion etc, cause the tooth model of patient that can not accurately embody its morphological feature.
B) in the previous step of digitized processing tooth model, the operation of identification and cutting is likely to result in tooth model
It is imperfect, or when patient stings mould, there is edema in gum, will also result in identification and cutting generates mistakes and omissions, thus cause
Tooth model generates deviation in parametrization.
2) it only considered the form of tooth itself and have ignored the relationship between adjacent teeth.
A) existing method can be parameterized according to the morphological feature of single tooth, but so-called teeth arrangement is neat
Concept, the originally evaluation to the arranging situation of multiple teeth, so the parametrization of single tooth is only considered, in row's tooth
In the process, parameter can not often be provided to the reference role for arranging tooth.
It b) is the oral condition different for each patient, the suitable tune provided for the concept of stomatological aesthetics
Whole range, in this range, every tooth is that have certain elastic adjustable range, and the adjustable model between adjacent teeth
It encloses and is different, be only compared adjacent teeth, could preferably obtain reasonably adjusting for every tooth.
Problem above reduces the accuracy and reasonability that tooth model parametrization operates offer parameter to subsequent row's tooth.
Summary of the invention
The purpose of the present invention is to provide a kind of methods of tooth model parametrization, effectively increase tooth model parametrization
The accuracy and reasonability of parameter afterwards.
Realizing the technical solution of above-mentioned purpose is:
A kind of method of tooth model parametrization, comprising:
Calculate the respective geometric center point of all teeth；
According to the geometric center point for the tooth being calculated, it is fitted maxillary teeth jaw plane and lower jaw tooth jaw plane, and is calculated
Dental arch of maxilla curve and mandibular dental arch curve；
It is calculated by Gaussian curvature, obtains the cusp of the canine tooth of the upper jaw and lower jaw；
Near and far point, nearly midpoint and the remote midpoint of tooth are determined using dental arch of maxilla curve and mandibular dental arch curve；
Tooth coordinate is determined according near and far point, nearly midpoint and the remote midpoint of the cusp of the upper jaw and the canine tooth of lower jaw, tooth
System；
Calculate FA point, central point and the incisxal edge point of tooth and the near and far cheek point of accessional teeth；
The dental arch curve of single jaw is straightened and is in line, the X-axis of world coordinate system is placed on；Single jaw teeth arrangement is being straightened
Dental arch on, the geometric center point of tooth arranges on dental arch, and the Y-axis of tooth is overlapped with dental arch, the Z axis and world coordinates of tooth
It is that Z-direction is consistent；
Carry out lip cheek to adjustment, tongue jaw to adjustment, single tooth characteristic point adjustment and the long axial adjustment of original dental mould；
Single jaw tooth is according to tooth position sequence, since incisor, on the basis of dental arch middle line, arranges along dental arch；Arrangement
When, tooth is first to be moved on dental arch according to nearly middle marginal point, further around nearly middle marginal point rotation, remote middle marginal point is made also to fall in tooth
On bow；
Single tooth calculates crashworthness to the lesser adjacent teeth in tooth position number, moves marginal point in close according to crashworthness, when
When institute's crashworthness dentulous is all 0, i.e. completion tooth model parameterizes, and otherwise, arranges again along dental arch.
Preferably, using the upper jaw geometric center point dentulous maxillary teeth jaw plane subpoint, according to Beta letter
Number, using the incisxal edge point of single jaw tooth central incisor, the cusp of canine tooth and the nearly middle cheek cusp ground one's teeth in sleep as parameter, calculating dental arch of maxilla
Curve；
Using lower jaw geometric center point dentulous the subpoint of lower jaw tooth jaw plane will be single according to Beta function
The incisxal edge point of jaw tooth central incisor, the cusp of canine tooth and the nearly middle cheek cusp ground one's teeth in sleep calculate mandibular dental arch curve as parameter.
Preferably, dental arch of maxilla curve is stretched along maxillary teeth jaw plane Z axis, constitutes a curved surface or mandibular dental arch
Curve is stretched along lower jaw tooth jaw plane Z axis, constitutes a curved surface, and curved surface and every tooth meet at two lines, on every line
Point near outside is near and far point, and the point close to front tooth direction is nearly midpoint, otherwise is remote midpoint.
Preferably, determine that tooth coordinate is meant: Z axis is relative to incisor are as follows: is directed toward incisxal edge point from the geometric center point of tooth
Direction, relative to canine tooth are as follows: from the geometric center point of tooth be directed toward cusp direction, relative to bicuspid are as follows: from tooth
Geometric center point is directed toward the direction of den, relative to grinding one's teeth in sleep are as follows: the direction of den, Y-axis are directed toward from the geometric center point of tooth are as follows:
The direction at nearly midpoint is directed toward from the remote midpoint of tooth, X-axis, Y-axis and Z axis are using right-handed coordinate system as tooth coordinate system.
Preferably, after determining tooth coordinate system, tooth coordinate system is corrected, recalculates the close remote of tooth along X-direction
Midpoint adjusts Y-axis and Z-direction.
Preferably, the intersection point of the X-axis of tooth coordinate system and tooth model in lip side direction；
Central point refers to: the Z axis of tooth reference axis and the intersection point of tooth model；
Incisxal edge point refers to: the intersection upper lip side of plane and tooth model that the X-axis and Z axis of tooth reference axis are constituted upsweeps
The maximum point of rate；
The near and far cheek point of accessional teeth refers to: two cusps of the close lip side of the tooth of four cusps.
Preferably, lip cheek refers to adjustment: tooth forces down direction along elongation and translates, and tooth is around crossing the words of FA point to axis
Rotation；
Tongue jaw refers to adjustment: for tooth along words to translation, tooth forces down axis of orientation around the elongation for crossing geometric center point
Rotation；
The adjustment of single tooth characteristic point refers to: to incisxal edge point, cusp, den, nearly middle cheek cusp, the remote middle cheek point on tooth
The adjustment of point, FA point and tooth coordinate system；
The long axial adjustment of original dental mould refers to: the adjustment to tooth model upper tooth crown length two endpoints of axis.
Preferably, when crashworthness is timing, nearly middle marginal point is moved along dental arch to far from adjacent teeth direction, moving distance
Equal to crashworthness；When crashworthness is negative, nearly middle marginal point is moved along dental arch to close to adjacent teeth direction, and moving distance is equal to
The absolute value of crashworthness.
The beneficial effects of the present invention are: the present invention reduces the dependence of independent tooth, when reducing due to tooth cutting
Error or tooth itself such as are lost at the deviation effects that forms missing generates tooth parametrization.The present invention joins to tooth
With reference to the relationship between adjacent teeth when numberization, the result parameterized in this way keeps the accuracy of row's tooth, aesthetics higher.
Detailed description of the invention
Fig. 1 is the flow chart of the method for tooth model parametrization of the invention.
Specific embodiment
The present invention will be further described with reference to the accompanying drawings.
Referring to Fig. 1, the method that tooth model of the invention parameterizes, including the following steps:
Step S1 calculates the respective geometric center point of all teeth；That is the calculation of tooth model mesh point (abbreviation Mesh point)
The coordinate of art average value, i.e., all vertex is added, then divided by number of vertices.
Step S2 is fitted maxillary teeth jaw plane with upper jaw institute geometric center point dentulous；With the upper jaw, institute is dentulous several
What central point maxillary teeth jaw plane subpoint, according to Beta function, by the incisxal edge point of single jaw tooth central incisor, the point of canine tooth
Point and the nearly middle cheek cusp ground one's teeth in sleep calculate dental arch of maxilla curve as parameter.
Lower jaw tooth jaw plane is fitted with lower jaw institute geometric center point dentulous；With lower jaw institute geometric center point dentulous
In the subpoint of lower jaw tooth jaw plane, according to Beta function, by the incisxal edge point of single jaw tooth central incisor, canine tooth cusp and grind one's teeth in sleep
Nearly middle cheek cusp as parameter, calculate mandibular dental arch curve.
Step S3 calculates its Gaussian curvature, obtains maximum curvature to all model vertices of the canine tooth of the upper jaw and lower jaw
Point is the cusp of corresponding canine tooth.
Step S4, dental arch of maxilla curve are stretched along maxillary teeth jaw plane Z axis, constitute a curved surface or mandibular dental arch
Curve is stretched along lower jaw tooth jaw plane Z axis, constitutes a curved surface, and curved surface and every tooth all meet at two lines, on every line
The point near outside be exactly near and far point, close to front tooth direction point be nearly midpoint, otherwise be remote midpoint.
Step S5, calculate tooth coordinate system: Z axis for incisor be tooth geometric center point to the direction of incisxal edge point, it is right
In canine tooth be tooth geometric center point to cusp direction, be direction of the geometric center point to den for bicuspid, for mill
Tooth is direction of the geometric center point to den, and Y-axis is remote midpoint to nearly midpoint direction, and X-axis, Y-axis and Z axis constitute right-handed scale (R.H.scale)
System.
Step S6 corrects tooth coordinate system, recalculates near and far point along X-direction, adjusts Y-axis and Z-direction.
Step S7 calculates FA point.Namely the X-axis of tooth coordinate system and tooth model hand over the point in lip side direction；
Step S8 calculates central point.The namely intersection point of the Z axis of tooth coordinate system and tooth model.
Step S9 calculates incisxal edge point.The namely friendship of the plane and tooth model of the X-axis of tooth coordinate system and Z axis composition
The point of maximum curvature in line upper lip side direction.
Step S10 calculates the near and far cheek point of accessional teeth.Namely there are four the teeth of cusp, close to two of lip side
Cusp.
The dental arch curve of single jaw is straightened and is in line by step S11, is placed on world coordinate system, i.e., the absolute seat in space
Mark the X-axis of system.
Step S12, by single jaw teeth arrangement on the dental arch being straightened, the geometric center point of tooth arranges on dental arch, phase
The geometric center point of adjacent teeth tooth is overlapped at a distance of 20mm, the Y-axis of tooth with dental arch, the Z axis and world coordinate system Z-direction one of tooth
It causes.
Step S13, is adjusted:
Lip cheek forces down direction translation, tooth along elongation including tooth and rotates around the words for crossing FA point to axis to adjustment.
Tongue jaw forces down direction around the elongation for crossing geometric center point to translation, tooth along words to adjustment, including tooth
Axis rotation.
Single tooth characteristic point adjustment, including to incisxal edge point, cusp, den, nearly middle cheek cusp, the remote middle cheek point on tooth
The adjustment of point, FA point and tooth coordinate system.
The long axial adjustment of original dental mould, including the adjustment to tooth model upper tooth crown length two endpoints of axis.
After tooth model adjustment, tooth coordinate system is remained unchanged.
Step S14, single jaw tooth are raw with polynomial equation according to incisor incisxal edge point, canine tooth cusp, nearly middle cheek cusp of grinding one's teeth in sleep
At the dental arch curve of single jaw, i.e., using incisor incisxal edge point, canine tooth cusp, nearly middle cheek cusp of grinding one's teeth in sleep as parameter, substitute into multinomial side
Curvilinear equation is calculated in journey.Single jaw tooth is according to tooth position sequence, since incisor, on the basis of dental arch middle line, along tooth
Bow arrangement.When along dental arch arrangement, tooth is first to be moved on dental arch according to nearly middle marginal point, further around nearly middle marginal point rotation, is made
Marginal point is also fallen on dental arch in remote.Above-mentioned nearly middle marginal point and the dental arch in remote middle marginal point, that is, step S12, being straightened and every
The intersection point of tooth model.
Step S15, single tooth calculate crashworthness to the lesser adjacent teeth in tooth position number, in crashworthness is timing, is close
Marginal point is moved along dental arch to far from adjacent teeth direction, and moving distance is equal to crashworthness.When crashworthness is negative, nearly middle edge
Point is moved along dental arch to close to adjacent teeth direction, and moving distance is equal to the absolute value of crashworthness.When institute's crashworthness dentulous
When being all 0, i.e. completion tooth model parameterizes.Otherwise, step S14 is executed again.
Above embodiments are used for illustrative purposes only, rather than limitation of the present invention, the technology people in relation to technical field
Member, without departing from the spirit and scope of the present invention, can also make various transformation or modification, therefore all equivalent
Technical solution also should belong to scope of the invention, should be limited by each claim.
Claims (8)
1. a kind of method of tooth model parametrization characterized by comprising
Calculate the respective geometric center point of all teeth；
According to the geometric center point for the tooth being calculated, it is fitted maxillary teeth jaw plane and lower jaw tooth jaw plane, and calculates the upper jaw
Dental arch curve and mandibular dental arch curve；
It is calculated by Gaussian curvature, obtains the cusp of the canine tooth of the upper jaw and lower jaw；
Near and far point, nearly midpoint and the remote midpoint of tooth are determined using dental arch of maxilla curve and mandibular dental arch curve；
Tooth coordinate system is determined according near and far point, nearly midpoint and the remote midpoint of the cusp of the upper jaw and the canine tooth of lower jaw, tooth；
Calculate FA point, central point and the incisxal edge point of tooth and the near and far cheek point of accessional teeth；
The dental arch curve of single jaw is straightened and is in line, the X-axis of world coordinate system is placed on；By single jaw teeth arrangement in the tooth being straightened
On bow, the geometric center point of tooth arranges on dental arch, and the Y-axis of tooth is overlapped with dental arch, the Z axis and world coordinate system Z of tooth
Axis direction is consistent；
Carry out lip cheek to adjustment, tongue jaw to adjustment, single tooth characteristic point adjustment and the long axial adjustment of original dental mould；
Single jaw tooth is according to tooth position sequence, since incisor, on the basis of dental arch middle line, arranges along dental arch；When arrangement, tooth
Tooth is first to be moved on dental arch according to nearly middle marginal point, further around nearly middle marginal point rotation, falls in remote middle marginal point also on dental arch；
Single tooth calculates crashworthness to the lesser adjacent teeth in tooth position number, according to the mobile nearly middle marginal point of crashworthness, when all
When the crashworthness of tooth is all 0, i.e. completion tooth model parameterizes, and otherwise, arranges again along dental arch.
2. the method for tooth model parametrization according to claim 1, which is characterized in that using the upper jaw, institute is dentulous several
What central point maxillary teeth jaw plane subpoint, according to Beta function, by the incisxal edge point of single jaw tooth central incisor, the point of canine tooth
Point and the nearly middle cheek cusp ground one's teeth in sleep calculate dental arch of maxilla curve as parameter；
Using lower jaw geometric center point dentulous lower jaw tooth jaw plane subpoint, according to Beta function, by single jaw tooth
The incisxal edge point of tooth central incisor, the cusp of canine tooth and the nearly middle cheek cusp ground one's teeth in sleep calculate mandibular dental arch curve as parameter.
3. the method for tooth model parametrization according to claim 1, which is characterized in that dental arch of maxilla curve is along the upper jaw
Tooth jaw plane Z axis stretches, and constitutes a curved surface or mandibular dental arch curve and stretches along lower jaw tooth jaw plane Z axis, constitutes one
Curved surface, curved surface and every tooth meet at two lines, and the point near outside on every line is near and far point, close to front tooth direction
Point is nearly midpoint, otherwise is remote midpoint.
4. the method for tooth model parametrization according to claim 1, which is characterized in that determine that tooth coordinate is meant: Z axis
Relative to incisor are as follows: the direction of incisxal edge point is directed toward from the geometric center point of tooth, relative to canine tooth are as follows: from the geometric center of tooth
Point is directed toward the direction of cusp, relative to bicuspid are as follows: the direction of den is directed toward from the geometric center point of tooth, relative to grinding one's teeth in sleep
Are as follows: the direction of den, Y-axis are directed toward from the geometric center point of tooth are as follows: it is directed toward the direction at nearly midpoint from the remote midpoint of tooth, X-axis,
Y-axis and Z axis are using right-handed coordinate system as tooth coordinate system.
5. the method for tooth model parametrization according to claim 4, which is characterized in that after determining tooth coordinate system, repair
Positive tooth coordinate system, the near and far point of tooth is recalculated along X-direction, adjusts Y-axis and Z-direction.
6. the method for tooth model parametrization according to claim 1, which is characterized in that FA point refers to: the X of tooth coordinate system
The intersection point of axis and tooth model in lip side direction；
Central point refers to: the Z axis of tooth reference axis and the intersection point of tooth model；
Incisxal edge point refers to: the intersection upper lip side upward curvature of plane and tooth model that the X-axis and Z axis of tooth reference axis are constituted is most
Big point；
The near and far cheek point of accessional teeth refers to: two cusps of the close lip side of the tooth of four cusps.
7. the method for tooth model parametrization according to claim 1, which is characterized in that
Lip cheek refers to adjustment: tooth forces down direction along elongation and translates, and tooth is rotated around the words for crossing FA point to axis；
Tongue jaw refers to adjustment: for tooth along words to translation, tooth forces down axis of orientation rotation around the elongation for crossing geometric center point；
The adjustment of single tooth characteristic point refers to: to incisxal edge point, cusp, den, nearly middle cheek cusp, the remote middle cheek cusp, FA on tooth
The adjustment of point and tooth coordinate system；
The long axial adjustment of original dental mould refers to: the adjustment to tooth model upper tooth crown length two endpoints of axis.
8. the method for tooth model parametrization according to claim 1, which is characterized in that in crashworthness is timing, is close
Marginal point is moved along dental arch to far from adjacent teeth direction, and moving distance is equal to crashworthness；When crashworthness is negative, nearly middle edge
Point is moved along dental arch to close to adjacent teeth direction, and moving distance is equal to the absolute value of crashworthness.
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| CN114431989A (en) * | 2022-01-07 | 2022-05-06 | 可丽尔医疗科技（常州）有限公司 | Target arch curve-based coordinate system establishing method, automatic tooth arrangement method and tooth movement evaluation method |
| CN115588006A (en) * | 2022-11-11 | 2023-01-10 | 四川大学 | Extraction method of standardized dental arch form |
| CN115588006B (en) * | 2022-11-11 | 2023-11-21 | 四川大学 | Extraction method of standardized dental arch form |
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