CN106420078A - Calculating method for diaphragm in uneven thickness - Google Patents
Calculating method for diaphragm in uneven thickness Download PDFInfo
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- CN106420078A CN106420078A CN201610863246.0A CN201610863246A CN106420078A CN 106420078 A CN106420078 A CN 106420078A CN 201610863246 A CN201610863246 A CN 201610863246A CN 106420078 A CN106420078 A CN 106420078A
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- thickness
- diaphragm
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- tooth
- triangle
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61C—DENTISTRY; APPARATUS OR METHODS FOR ORAL OR DENTAL HYGIENE
- A61C7/00—Orthodontics, i.e. obtaining or maintaining the desired position of teeth, e.g. by straightening, evening, regulating, separating, or by correcting malocclusions
- A61C7/002—Orthodontic computer assisted systems
Abstract
The invention discloses a calculating method for a diaphragm in uneven thickness. A method for mapping a stereoscopic model onto a plane is adopted for reversely calculating the thickness of the uneven diaphragm, so that the diaphragm can be conveniently manufactured, and then a tooth socket in uneven thickness can be manufactured. The calculating method disclosed by the invention is suitable for the thickness calculation for the appliance diaphragm in different thickness in a design area in an invisible orthodontic process, so that the diaphragm in different local thickness can be manufactured.
Description
Technical field
The invention belongs to calculating field, relate to the computational methods of a kind of diaphragm thickness, be specifically related to a kind of non-uniform thickness
The computational methods of diaphragm.
Background technology
Traditional orthodontic be mainly at denture surface configuration bracket and arch wire, play correcting action, by reverse and
The mode of passage is rescued.In order to attractive in appearance, facing has been transferred to tongue side by lip side, can't see in appearance, but this side
Method is higher to the requirement of doctor, and patient's injury of mouth is relatively big, and not only foreign body sensation strengthens, and cost is higher.With entering of technology
Step, invisalign is increasingly received by patient and uses, and is a kind of computer-aided design and manufacture without bracket invisalign
Transparent elastic material movable correcting device, it is the orthotic device of a Sequentially continuous, is moved by constantly little scope tooth, reaches
Rescue purpose to tooth.This facing is possible not only to control the size of Orthodontic force, and can control the time of Orthodontic force effect,
Different phase only some tooth can move, and other tooth is as anchorage, thus completes the rectification of tooth.At invisalign
Field, uses facing to carry out rescuing and increasingly selected by patient and accept, but the stealthy facing using in prior art is
Individual layer, the thickness of its diaphragm is about 0.6～0.75mm, and selectivity is less, for patients with periodontal disease or be pasted with annex
The band of plucking of patient cause difficulty, and the foreign body sensation that the thicker patient of facing wears is stronger, degree of comfort decreased.If design one
Planting the facing of non-uniform thickness, at the thickness needing the region strengthening dynamics of rescuing to increase facing, the region of non-force reduces tooth
The thickness of set, rescues more targetedly, can either increase the comfort level that patient wears, additionally it is possible to carry out targetedly
Rescue, but the facing of non-uniform thickness is when making, need the diaphragm using non-uniform thickness to suppress, and non-homogeneous thickness
The making of the diaphragm of degree, needs thicken relating to or thinning region is mapped to diaphragm from the particular location of facing, then enter
The making of row diaphragm, therefore, studies the computational methods of a kind of non-uniform thickness diaphragm, has great importance.
Content of the invention
The technical problem to be solved in the present invention, is to provide the computational methods of a kind of non-uniform thickness diaphragm, uses solid
Model is mapped to the method for plane, the reverse thickness calculating non-homogeneous diaphragm, thus facilitates the making of diaphragm, then carries out non-homogeneous
The making of thickness facing.
For solving above-mentioned technical problem, the technical solution used in the present invention is：
The computational methods of a kind of non-uniform thickness diaphragm, are carried out according to following steps order：
1）The thickness of design facing regional
If the thickness of facing is H={ hi, it represents in tooth mesh vertex viThe thickness at place is hi, vertex set V={ vi,
Tri patch (va, vb, vcOn), the thickness h of some v is then by the one-tenth-value thickness 1/10 h on three summits of tri patcha, hb, hcLinear interpolation obtains
Arrive, meet linear formula：
h = φaha+ φbhb+ φchcAnd φa+ φb+ φc= 1
Wherein, φa= Sa/ S, φb= Sb/ S, φc= Sc/ S, SaFor triangle v, vb, vcArea, SbFor triangle v,
vc, vaArea, ScFor triangle v, va, vbArea, S is triangle va, vb, vcArea；
Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；C=1,2,3 ... n；
va, vb, vcIt is respectively three summits of tri patch；
2）The Planar Mapping of tooth jaw threedimensional model
A）The determination of tooth jaw triangle gridding
Tooth triangle gridding M={ V, F} represent, wherein vertex set V={ vi, dough sheet collection F={ (va, vb, vc),
And grid model meets two-dimensional manifold character；Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；c=1,2,
3 ... n；
B）Form planar triangulations M ', D Triangulation M and plane three after tooth triangle gridding M is carried out plane parameter
Angle grid M ' is identical in topology, and the vertex v on D Triangulation MiVertex v with planar triangulations M 'i' relatively
Should；
C）The process of plane parameter is that the summit tooth mesh M bottom edge is mapped in a plane, and other summits
Obtained by the weighted convex combination on respective 1 ring neighborhood summit around：
Meet：；
Wherein；
Wherein, λijFor weight coefficient；αijAnd βijFor limit eijCorresponding 2 diagonal angles；N1I () represents vertex vi1 ring neighborhood point；i
It is respectively limit e with jijTwo end points；
3）The calculating of diaphragm thickness
If diaphragm thickness is H '={ hi', it represents the upper vertex v of plane parameter grid M 'iDiaphragm thickness corresponding to ' is
hn', due to diaphragm constancy of volume V before and after press moldi=Vi', therefore thickness meets：
Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；C=1,2,3 ... n.
As a kind of restriction of the present invention, described AiAnd Ai' it is respectively vertex v before and after tooth mesh plane parameteriWeek
Enclose 1 ring neighborhood tri patch area sum.
Owing to have employed above-mentioned technical scheme, compared with prior art, acquired technological progress is the present invention：
The present invention uses the plane parameter grid one_to_one corresponding of the measurement to facing thickness, the space lattice of tooth and tooth,
Thus extrapolate the thickness of compacting facing diaphragm, derive corresponding relation by calculating, thus personalized customization is different thick
The facing of degree, reaches to rescue more targetedly.
The present invention is applicable to the THICKNESS CALCULATION of the appliance diaphragm of design section different-thickness during invisalign, thus
Produce the diaphragm of region different-thickness.
The present invention is described in further detail with specific embodiment below in conjunction with Figure of description.
Brief description
Fig. 1 is the tooth space lattice schematic diagram of the embodiment of the present invention 1；
Fig. 2 is the tooth plane parameter grid schematic diagram of the embodiment of the present invention 1；
Fig. 3 be the α ij and β ij of the embodiment of the present invention 1 be corresponding 2 the diagonal arrangement relation schematic diagrames of limit eij.
Detailed description of the invention
The computational methods of 1 one kinds of non-uniform thickness diaphragms of embodiment
The computational methods of a kind of non-uniform thickness diaphragm, are carried out according to following steps order：
1）The thickness of design facing regional
If the thickness of facing is H={ hi, it represents in tooth mesh vertex viThe thickness at place is hi, vertex set V={ vi,
Tri patch (va, vb, vcOn), the thickness h of some v is then by the one-tenth-value thickness 1/10 h on three summits of tri patcha, hb, hcLinear interpolation obtains
Arrive, meet linear formula：
h = φaha+ φbhb+ φchcAnd φa+ φb+ φc= 1
Wherein, φa= Sa/ S, φb= Sb/ S, φc= Sc/ S, SaFor triangle v, vb, vcArea, SbFor triangle v,
vc, vaArea, ScFor triangle v, va, vbArea, S is triangle va, vb, vcArea；
Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；C=1,2,3 ... n；
va, vb, vcIt is respectively three summits of tri patch；
2）The Planar Mapping of tooth jaw threedimensional model
A）The determination of tooth jaw triangle gridding
Tooth triangle gridding M={ V, F} represent, wherein vertex set V={ vi, dough sheet collection F={ (va, vb, vc),
And grid model meets two-dimensional manifold character, as shown in Figure 1；Wherein, i=a, b, c；A=1,2,3 ... n；b=1,2,
3 ... n；C=1,2,3 ... n；
B）As in figure 2 it is shown, form planar triangulations M ', space triangular net after tooth triangle gridding M is carried out plane parameter
Lattice M and planar triangulations M ' is identical in topology, and the vertex v on D Triangulation MiWith planar triangulations M's '
Vertex vi' corresponding；
C）The process of plane parameter is that the summit tooth mesh M bottom edge is mapped in a plane, and other summits
Obtained by the weighted convex combination on respective 1 ring neighborhood summit around：
Meet：；
Wherein；
Wherein, λijFor weight coefficient；As it is shown on figure 3, αijAnd βijFor limit eijCorresponding 2 diagonal angles；N1I () represents vertex vi1
Ring neighborhood point；I and j is respectively limit eijTwo end points；
3）The calculating of diaphragm thickness
If diaphragm thickness is H '={ hi', it represents the upper vertex v of plane parameter grid M 'iDiaphragm thickness corresponding to ' is
hn', due to diaphragm constancy of volume V before and after press moldi=Vi', therefore thickness meets：
Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；C=1,2,3 ... n.
Wherein, 1 ring neighborhood triangular facet around vertex v i before and after described Ai and Ai ' respectively tooth mesh plane parameter
Piece area sum.
In actual use, by the measurement to facing thickness, the space lattice of tooth and the plane parameter of tooth
Change grid one_to_one corresponding, thus extrapolate the thickness of compacting facing diaphragm, derive corresponding relation by calculating, personalized
The facing of the different-thickness of customization, such that it is able to rescue more targetedly.
The above, be only presently preferred embodiments of the present invention, is not the restriction making other forms to the present invention, appoints
What those skilled in the art is changed possibly also with above-mentioned technology contents as enlightenment or is modified as equivalent variations
Equivalent embodiments.But, every without departing from the technology of the present invention design, according to the technical spirit of the present invention, above example is made
The simple modification going out, equivalent variations and remodeling, still fall within the protection domain of the claims in the present invention.
Claims (2)
1. the computational methods of a non-uniform thickness diaphragm, it is characterised in that it is carried out according to following steps order：
1）The thickness of design facing regional
If the thickness of facing is H={ hi, it represents in tooth mesh vertex viThe thickness at place is hi, vertex set V={ vi, three
Edged surface piece va, vb, vcThe thickness h of upper some v is then by the one-tenth-value thickness 1/10 h on three summits of tri patcha, hb, hcLinear interpolation obtains, symbol
Linear formula：
h = φaha+ φbhb+ φchcAnd φa+ φb+ φc= 1
Wherein, φa= Sa/ S, φb= Sb/ S, φc= Sc/ S, SaFor triangle v, vb, vcArea, SbFor triangle v,
vc, vaArea, ScFor triangle v, va, vbArea, S is triangle va, vb, vcArea；
Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；C=1,2,3 ... n；
va, vb, vcIt is respectively three summits of tri patch；
2）The Planar Mapping of tooth jaw threedimensional model
A）The determination of tooth jaw triangle gridding
Tooth triangle gridding M={ V, F} represent, wherein vertex set V={ vi, dough sheet collection F={ va, vb, vc, and
Grid model meets two-dimensional manifold character；Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；c=1,2,
3 ... n；
B）Form planar triangulations M ', D Triangulation M and plane three after tooth triangle gridding M is carried out plane parameter
Angle grid M ' is identical in topology, and the vertex v on D Triangulation MiVertex v with planar triangulations M 'i' relatively
Should；
C）The process of plane parameter is that the summit tooth mesh M bottom edge is mapped in a plane, and other summits
Obtained by the weighted convex combination on respective 1 ring neighborhood summit around：
Meet：；
Wherein；
Wherein, λijFor weight coefficient；αijAnd βijFor limit eijCorresponding 2 diagonal angles；N1I () represents vertex vi1 ring neighborhood point；i
It is respectively limit e with jijTwo end points；
3）The calculating of diaphragm thickness
If diaphragm thickness is H '={ hi', it represents the upper vertex v of plane parameter grid M 'iDiaphragm thickness corresponding to ' is
hi', due to diaphragm constancy of volume V before and after press moldi=Vi', therefore thickness meets：
Wherein, i=a, b, c；A=1,2,3 ... n；B=1,2,3 ... n；C=1,2,3 ... n.
2. the computational methods of non-uniform thickness diaphragm according to claim 1, it is characterised in that：Described AiAnd Ai' respectively
For vertex v before and after tooth mesh plane parameteri1 ring neighborhood tri patch area sum around.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109965994A (en) * | 2019-04-26 | 2019-07-05 | 上海隐齐齿科科技有限公司 | A kind of subregion dentistry diaphragm and preparation method thereof |
| CN110464491A (en) * | 2019-07-31 | 2019-11-19 | 上海正雅齿科科技股份有限公司 | The generation method of dental appliance and its mathematical model, the production method of appliance |
| CN111096814A (en) * | 2019-12-27 | 2020-05-05 | 上海牙典医疗器械有限公司 | Method and device for generating appliance |
| CN114948285A (en) * | 2021-02-26 | 2022-08-30 | 正雅齿科科技(上海)有限公司 | Film pressing method and system for shell-shaped tooth appliance |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102147935A (en) * | 2010-02-09 | 2011-08-10 | 常州高新技术产业开发区三维工业技术研究所有限公司 | Method suitable for segmenting dental triangle mesh curved surface from dental jaw triangle mesh curved surface |
| CN104157013A (en) * | 2014-08-06 | 2014-11-19 | 杭州新迪数字工程系统有限公司 | Reestablishing method for smooth curved surface on arbitrary quadrilateral grid |
| CN104680573A (en) * | 2015-01-20 | 2015-06-03 | 西安科技大学 | Texture mapping method based on triangular mesh simplification |
| CN105118093A (en) * | 2015-09-02 | 2015-12-02 | 宁波工程学院 | Parametric surface reconstruction method for false tooth discrete data |
| US20160070821A1 (en) * | 2014-09-08 | 2016-03-10 | 3M Innovative Properties Company | Method of aligning intra-oral digital 3d models |
-
2016
- 2016-09-29 CN CN201610863246.0A patent/CN106420078B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102147935A (en) * | 2010-02-09 | 2011-08-10 | 常州高新技术产业开发区三维工业技术研究所有限公司 | Method suitable for segmenting dental triangle mesh curved surface from dental jaw triangle mesh curved surface |
| CN104157013A (en) * | 2014-08-06 | 2014-11-19 | 杭州新迪数字工程系统有限公司 | Reestablishing method for smooth curved surface on arbitrary quadrilateral grid |
| US20160070821A1 (en) * | 2014-09-08 | 2016-03-10 | 3M Innovative Properties Company | Method of aligning intra-oral digital 3d models |
| CN104680573A (en) * | 2015-01-20 | 2015-06-03 | 西安科技大学 | Texture mapping method based on triangular mesh simplification |
| CN105118093A (en) * | 2015-09-02 | 2015-12-02 | 宁波工程学院 | Parametric surface reconstruction method for false tooth discrete data |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109965994A (en) * | 2019-04-26 | 2019-07-05 | 上海隐齐齿科科技有限公司 | A kind of subregion dentistry diaphragm and preparation method thereof |
| CN110464491A (en) * | 2019-07-31 | 2019-11-19 | 上海正雅齿科科技股份有限公司 | The generation method of dental appliance and its mathematical model, the production method of appliance |
| CN111096814A (en) * | 2019-12-27 | 2020-05-05 | 上海牙典医疗器械有限公司 | Method and device for generating appliance |
| CN114948285A (en) * | 2021-02-26 | 2022-08-30 | 正雅齿科科技(上海)有限公司 | Film pressing method and system for shell-shaped tooth appliance |
| CN114948285B (en) * | 2021-02-26 | 2023-10-20 | 正雅齿科科技(上海)有限公司 | Film pressing method and system of shell-shaped tooth appliance |
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| CN106420078B (en) | 2018-09-21 |
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Address after: Two floor, No. 2305 Shanghai north gate 201210 God's favored one A block 122 Zuchongzhi road Pudong New Area City Applicant after: Shanghai Ya Fang dental Polytron Technologies Inc Address before: Two floor, No. 2305 Shanghai north gate 201210 God's favored one A block 122 Zuchongzhi road Pudong New Area City Applicant before: Shanghai Smartee Dental Technology Co., Ltd. |
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Address after: 201210 Pudong New Area, Shanghai, 2305, A, 122, north gate, two floor. Patentee after: Zhengya Dental Technology (Shanghai) Co.,Ltd. Address before: 201210 Pudong New Area, Shanghai, 2305, A, 122, north gate, two floor. Patentee before: SHANGHAI SMARTEE DENTI-TECHNOLOGY Co.,Ltd. |
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