CN106420078B - The computational methods of non-uniform thickness diaphragm - Google Patents

The computational methods of non-uniform thickness diaphragm Download PDF

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Publication number
CN106420078B
CN106420078B CN201610863246.0A CN201610863246A CN106420078B CN 106420078 B CN106420078 B CN 106420078B CN 201610863246 A CN201610863246 A CN 201610863246A CN 106420078 B CN106420078 B CN 106420078B
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vertex
thickness
diaphragm
tooth
triangle
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CN106420078A (en
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姚峻峰
查凯
沈斌杰
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Shanghai Zhengya Dental Technology Co Ltd
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Shanghai Ya Fang Dental Polytron Technologies Inc
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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

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  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • General Engineering & Computer Science (AREA)
  • Oral & Maxillofacial Surgery (AREA)
  • Dentistry (AREA)
  • Epidemiology (AREA)
  • Engineering & Computer Science (AREA)
  • Animal Behavior & Ethology (AREA)
  • General Health & Medical Sciences (AREA)
  • Public Health (AREA)
  • Veterinary Medicine (AREA)
  • Dental Tools And Instruments Or Auxiliary Dental Instruments (AREA)
  • Prostheses (AREA)

Abstract

The invention discloses a kind of computational methods of non-uniform thickness diaphragm inversely to calculate the thickness of non-homogeneous diaphragm using the method that three-dimensional model is mapped to plane, to facilitate the making of diaphragm, then carries out the making of non-uniform thickness facing.THICKNESS CALCULATION of the present invention suitable for the appliance diaphragm of design section different-thickness during invisalign, to produce the diaphragm of region different-thickness.

Description

The computational methods of non-uniform thickness diaphragm
Technical field
The invention belongs to calculating fields, are related to a kind of computational methods of diaphragm thickness, and in particular to a kind of non-uniform thickness The computational methods of diaphragm.
Background technology
Mainly bracket and arch wire is arranged on denture surface in traditional orthodontic, plays correcting action, by torsion and The mode of passage is rescued.For beauty, facing has been transferred to tongue side by lip side, can't see in appearance, but this side For method to the more demanding of doctor, patient's injury of mouth is larger, and not only foreign body sensation enhances, and cost is higher.With technology into Step, invisalign are increasingly received and are used by patient, and no bracket invisalign is a kind of computer-aided design and manufacture Transparent elastic material movable correcting device, it is the orthotic device of a Sequentially continuous, is moved, is reached by constantly small range tooth Purpose is rescued to tooth.The facing can not only control the size of Orthodontic force, but also can control the time for rescuing force effect, The only certain teeth of different phase can move, and other tooth is as anchorage, to complete the correction of tooth.In invisalign Field is rescued using facing and is increasingly selected and received by patient, but the stealthy facing used in the prior art is Single layer, the thickness of diaphragm is about 0.6~0.75mm, and selectivity is smaller, for patients with periodontal disease or is pasted with attachment 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 The facing of kind non-uniform thickness, in the thickness for needing the region for increasing dynamics of rescuing to increase facing, the region of non-force reduces tooth The thickness of set, is more targetedly rescued, and the comfort level of patient's wearing can either be increased, additionally it is possible to be carried out targetedly It rescues, but the facing of non-uniform thickness needs to be suppressed using the diaphragm of non-uniform thickness when making, and non-homogeneous thickness The making of the diaphragm of degree needs to be related to thickening or thinned region is mapped to from the specific location of facing on diaphragm, then into Therefore the making of row diaphragm studies a kind of computational methods of non-uniform thickness diaphragm, has great importance.
Invention content
The technical problem to be solved in the present invention is to provide a kind of computational methods of non-uniform thickness diaphragm, using will be three-dimensional The method that model is mapped to plane inversely calculates the thickness of non-homogeneous diaphragm, to facilitate the making of diaphragm, then carries out non-homogeneous The making of thickness facing.
In order to solve the above technical problems, the technical solution used in the present invention is：
A kind of computational methods of non-uniform thickness diaphragm, according to the following steps sequence progress：
1) thickness of design facing each region
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,vc) on point v thickness h then by the thickness value h on three vertex of tri patcha, hb, hcLinear interpolation It obtains, meets linear formula：
And
Wherein,SaFor triangle v, vb,vcArea, SbFor triangle v, vc,vaArea, ScFor triangle v, va,vbArea, S be 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,vcRespectively three vertex of tri patch；
2) Planar Mapping of tooth jaw threedimensional model
A) the determination of tooth jaw triangle gridding
M={ V, the F } expression of tooth triangle gridding, wherein vertex set V={ vi, dough sheet collection F={ (va,vb,vc), and And grid model meets two-dimensional manifold property；Wherein, i=a, b, c；A=1,2,3 ... ... n；B=1,2,3 ... ... n；C=1, 2,3 ... ... n；
B) tooth triangle gridding M is carried out to form planar triangulations M ' after plane parameter, D Triangulation M with it is flat Face triangle gridding M ' is identical in topology, and the vertex v on D Triangulation MiWith the vertex v of planar triangulations M 'i’ It is corresponding；
C) process of plane parameter is that the vertex of tooth mesh M bottom edges is mapped in a plane, and other Vertex is obtained by the weighted convex combination on respectively 1 ring neighborhood vertex of surrounding：
Meet：
Wherein
Wherein, λijFor weighting coefficient；αijAnd βijFor side eijCorresponding 2 diagonal；N1(i) vertex v is indicatedi1 ring neighborhood Point；I and j is respectively side eijTwo endpoints；
3) calculating of diaphragm thickness
If diaphragm thickness is H '={ hi', represent vertex v on plane parameter grid M 'i' corresponding to diaphragm thickness For 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, the AiAnd Ai' it is respectively vertex v before and after tooth mesh plane parameteriWeek Enclose the sum of 1 ring neighborhood tri patch area.
Due to the adoption of the above technical solution, compared with prior art, the present invention acquired technological progress is：
For the present invention using the measurement to facing thickness, the space lattice of tooth and the plane parameter grid one of tooth are a pair of It answers, to extrapolate the thickness of compacting facing diaphragm, corresponding relationship is derived by calculating, to which personalized customization is different The facing of thickness, reaches and more targetedly rescues.
THICKNESS CALCULATION of the present invention suitable for the appliance diaphragm of design section different-thickness during invisalign, to Produce the diaphragm of region different-thickness.
The present invention is described in further detail below in conjunction with Figure of description and specific embodiment.
Description of the drawings
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 is that α ij and the β ij of the embodiment of the present invention 1 are the corresponding 2 diagonal arrangement relation schematic diagrams of side eij.
Specific implementation mode
A kind of computational methods of 1 non-uniform thickness diaphragm of embodiment
A kind of computational methods of non-uniform thickness diaphragm, according to the following steps sequence progress：
1) thickness of design facing each region
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,vc) on point v thickness h then by the thickness value h on three vertex of tri patcha, hb, hcLinear interpolation It obtains, meets linear formula：
And
Wherein,SaFor triangle v, vb,vcArea, SbFor triangle v, vc,vaArea, ScFor triangle v, va,vbArea, S be 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,vcRespectively three vertex of tri patch；
2) Planar Mapping of tooth jaw threedimensional model
A) the determination of tooth jaw triangle gridding
M={ V, the F } expression of tooth triangle gridding, wherein vertex set V={ vi, dough sheet collection F={ (va,vb,vc), and And grid model meets two-dimensional manifold property, 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 shown in Fig. 2, forming planar triangulations M ', space three after tooth triangle gridding M is carried out plane parameter Grid M and planar triangulations M ' are identical in topology at angle, and the vertex v on D Triangulation MiWith planar triangulations The vertex v of M 'i' corresponding；
C) process of plane parameter is that the vertex of tooth mesh M bottom edges is mapped in a plane, and other Vertex is obtained by the weighted convex combination on respectively 1 ring neighborhood vertex of surrounding：
Meet：
Wherein
Wherein, λijFor weighting coefficient；As shown in figure 3, αijAnd βijFor side eijCorresponding 2 diagonal；N1(i) vertex is indicated vi1 ring neighborhood point；Vi and j is respectively side eijTwo endpoints；
3) calculating of diaphragm thickness
If diaphragm thickness is H '={ hi', represent vertex v on plane parameter grid M 'i' corresponding to diaphragm thickness For 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, the Ai and Ai ' is respectively 1 ring neighborhood triangular facet around vertex v i before and after tooth mesh plane parameter The sum of piece area.
In actual use, pass through the measurement to facing thickness, the space lattice of tooth and the plane parameter of tooth Change grid to correspond, to extrapolate the thickness of compacting facing diaphragm, corresponding relationship is derived by calculating, it is personalized The facing of the different-thickness of customization, so as to more targetedly be rescued.
The above described is only a preferred embodiment of the present invention, being not the restriction for making other forms to the present invention, appoint What those skilled in the art is changed or is modified as equivalent variations possibly also with above-mentioned technology contents as enlightenment Equivalent embodiment.But it is every without departing from the technology of the present invention design, above example is made according to the technical essence of the invention The simple modification gone out, equivalent variations and remodeling, still fall within the protection domain of the claims in the present invention.

Claims (1)

1. a kind of computational methods of non-uniform thickness diaphragm, which is characterized in that sequence carries out according to the following steps for it：
1) thickness of design facing each region
If the thickness of facing is H={ hi, it represents in tooth mesh vertex viThe thickness at place is hi, vertex set V={ vi, triangle Dough sheet va,vb,vcThe thickness h of upper v is then by the thickness value h on three vertex of tri patcha, hb, hcLinear interpolation obtains, and meets line Property formula：
And
Wherein,SaFor triangle v, vb,vcArea, SbFor triangle v, vc,va Area, ScFor triangle v, va,vbArea, S be 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,vcRespectively three vertex of tri patch；
2) Planar Mapping of tooth jaw threedimensional model
A) the determination of tooth jaw triangle gridding
M={ V, the F } expression of tooth triangle gridding, wherein vertex set V={ vi, dough sheet collection F={ va,vb,vc, and grid mould Type meets two-dimensional manifold property；Wherein, i=a, b, c；A=1,2,3 ... ... n；B=1,2,3 ... ... n；C=1,2,3 ... ... n；
B planar triangulations M ', D Triangulation M and plane three are formed after tooth triangle gridding M) is carried out plane parameter Angle grid M ' is identical in topology, and the vertex v on D Triangulation MiWith the vertex v of planar triangulations M 'i' opposite It answers；
C) process of plane parameter is that the vertex of tooth mesh M bottom edges is mapped in a plane, and other vertex It is obtained by the weighted convex combination on respectively 1 ring neighborhood vertex of surrounding：
Meet：
Wherein
Wherein, λijFor weighting coefficient；αijAnd βijFor side eijCorresponding 2 diagonal；N1(i) vertex v is indicatedi1 ring neighborhood point；i It is respectively side e with jijTwo endpoints；Eij indicates that vertex v i and j line is formed by side, wherein vi is tooth mesh vertex, J belongs to N1(i)；
3) calculating of diaphragm thickness
If diaphragm thickness is H '={ hi', represent vertex v on plane parameter grid M 'i' corresponding to diaphragm thickness be 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；AiAnd Ai' it is respectively tooth The front and back vertex v of tooth grid plan parametrizationiThe sum of 1 ring neighborhood tri patch area of surrounding.
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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
CN110464491B (en) * 2019-07-31 2023-04-07 正雅齿科科技(上海)有限公司 Tooth appliance, generation method of digital model of tooth appliance and manufacturing method of tooth appliance
CN111096814B (en) * 2019-12-27 2021-12-10 上海牙典医疗器械有限公司 Method and device for generating 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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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

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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

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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

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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.