CN105118093A - Parametric surface reconstruction method for false tooth discrete data - Google Patents
Parametric surface reconstruction method for false tooth discrete data Download PDFInfo
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- CN105118093A CN105118093A CN201510555959.6A CN201510555959A CN105118093A CN 105118093 A CN105118093 A CN 105118093A CN 201510555959 A CN201510555959 A CN 201510555959A CN 105118093 A CN105118093 A CN 105118093A
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Abstract
The invention relates to a parametric surface reconstruction method for false tooth discrete data. The method comprises the following steps: quickly reconstructing a triangular mesh model of a false tooth by utilizing a circumsphere criterion; mapping top points of the triangular mesh model of the false tooth to a unit square of a planar parameter domain in a one-to-one manner with a mean value coordinate parameterization method; according to an inverse mapping technology, mapping regular sampling points on the unit square of the planar parameter domain to the triangular mesh model; and obtaining regular sampling points of the triangular mesh model and obtaining a B-spline surface of the false tooth with a B-spline surface interpolation algorithm. According to the method, the oral repair cycle can be shortened and the pain of oral patients can be relieved.
Description
Technical field
The present invention relates to Dental CAD curve reestablishing technical field, particularly relate to a kind of parametric surface method for reconstructing of artificial tooth discrete data.
Background technology
Along with the lifting gradually of people's living standard, the tooth incidence of disease is more and more higher.In oral restoration operation, the most frequently used method of dental caries therapeutic is that artificial tooth is inlayed, and the link of the making of artificial tooth to be artificial tooth inlay most critical in operation, the quality that artificial tooth makes is directly connected to result for the treatment of.Traditional artificial tooth makes to be needed through producing die, dressing mo del, carving wax pattern, casting, sandblast, piling the multiple working procedures such as porcelain, porcelain, finishing, sanding and polishing.Although this method is not high to technical requirement, operation is loaded down with trivial details, and fabrication cycle is long, poor working environment, consumption human resources are many, and can not meet clinical disposable medical requirement, client need is repeatedly medical just can reach promising result, not only loses time, and adds the misery of patient.Along with the maturation gradually of computer aided design and manufacture application technology (CAD/CAM), international market starts occur that multiple Dental CAD/CAM system is used for the Numerical manufacture and design of artificial tooth.Dental CAD/CAM technology highly shortened the fabrication cycle of artificial tooth, improves artificial tooth and makes precision, be subject to the welcome of extensive patients.
Summary of the invention
Technical matters to be solved by this invention is to provide a kind of parametric surface method for reconstructing of artificial tooth discrete data, can shorten the oral restoration cycle, alleviates the misery of oral cavity patient.
The technical solution adopted for the present invention to solve the technical problems is: the parametric surface method for reconstructing providing a kind of artificial tooth discrete data, comprises the following steps:
(1) express delivery of circumsphere criterion is utilized to rebuild the triangle grid model of artificial tooth;
(2) HCCI combustion parametric method is used to be mapped to one by one on the summit of the triangle grid model of artificial tooth in the unit square in plane parameter territory;
(3) according to inverse mapping technology, the rule sampling point in the unit square of plane parameter territory is mapped on triangle grid model;
(4) obtain the rule sampling of triangle grid model, utilize B-spline surface interpolation algorithm to obtain the B-spline surface of artificial tooth.
Described step (1) comprises following sub-step:
(11) optional 1 A in discrete data, the point B nearest apart from it is found in the neighborhood point of this A, using an A and the limit of some B as seed triangle, then in the neighborhood of an A and some B, 1 C is found, triangle ABC Minimum Internal Angle is made to obtain maximal value, using triangle ABC as seed triangle, three limits of triangle ABC are as current border;
(12) to each limit of current border, in its two ends neighborhood of a point, find the 3rd summit D according to circumsphere criterion and construct a new triangle, this new triangle meets: 3 summits are not on same straight line; Leg-of-mutton shape will as far as possible close to equilateral triangle; The inside of triangle ABD does not comprise other data point; To the every bar limit on current border, if a D can be found to construct triangle, then mark AB and shared by two triangles; If can not find the some D meeting above-mentioned three conditions, then marking AB is boundary edge;
(13) upgrade current border, step (12), as current border, is repeated in the leg-of-mutton unshared limit namely obtained in step (12); If suitable neighbor point and the new triangle of its formation all can not be found for each limit of current border in step (12), then concentrate at the left point not participating in grid enable and find new Seed Points and enter step (11).
Described step (2) is specially the border vertices V of the triangle grid model at artificial tooth
bin appoint get 1 V
aas first angle point Ψ (V of parameter field
a), triangle grid model border vertices V
bin, start to find a some V in the counterclockwise direction
b, make
set up, wherein,
a and b is the index value of triangle grid model border vertices, || V
i+1-V
i|| be summit V
iwith V
i+1between distance, then Ψ (V
b) as second angle point of parameter field, so analogize, find the trigpoint Ψ (V of parameter field
c) and the 4th angle point Ψ (V
d), then by border vertices V
bin remaining frontier point be mapped on corresponding square limit; To each internal vertex V of triangle grid model
iif its first order neighbors point is N
i, be each j ∈ N
iselect weights λ
ij, make V
iparameter coordinate U
ithe weighted mean of the parameter coordinate of its first order neighbors vertex correspondence, namely
the two ends of internal vertex and border vertices being transplanted respectively to above formula obtain
parameter value corresponding to border vertices obtains, then above formula is write as following system of linear equations: Ax=b, and wherein, A is | V| × | V| rank matrix, | V| is the number of grid vertex, and its element is
x is the parameter coordinate vector of internal point to be asked, and b is by the parameter coordinate vector of frontier point and corresponding λ
ijvalue calculates, as weights λ
ijafter determining, unknown quantity x solves the parameter value namely obtaining internal point by Gaussian elimination, and the parameter point of plane domain is carried out trigonometric ratio by its order in spatial model.
Described weights λ
ijpermanent positive weights are adopted to acquire.
Described step (3) is specially establishes given arbitrary parameter field mid point U
ithe triangular plate at place is (U
k, U
m, U
n), and the corresponding in three dimensions tri patch of this tri patch is (V
k, V
m, V
n), then put U
ithe point V in corresponding three-dimensional space
i' be V
i'=cV
k+ tV
m+ (1-c-t) V
n, wherein,
for tri patch Δ U
iu
mu
narea; The square of parameter field is divided into the individual little square of n × n,
obtain (n+1) × (n+1) individual new parameter point U
ij=(u
i, v
j),
the quantity of such new argument point is suitable with original triangle gridding summit quantity, tries to achieve parameter point U
ijcorresponding three-dimensional space data point V
ij', and it is connected in order.
Beneficial effect
Owing to have employed above-mentioned technical scheme, the present invention compared with prior art, there is following advantage and good effect: the artificial tooth B-spline surface precision that the present invention rebuilds is high, significantly shorten the oral restoration cycle, alleviate the misery of oral cavity patient, and the shape of doctor to artificial tooth can be facilitated to modify and hypostazation operation.
Accompanying drawing explanation
Fig. 1 is frontier point parametrization schematic diagram;
Fig. 2 is that average maps schematic diagram;
Fig. 3 is inverse mapping schematic diagram, and wherein, the triangle that (a) is parameter field is unilateral, (b) for three-dimensional triangle unilateral;
Fig. 4 is the curve reestablishing procedure chart of grinding one's teeth in sleep that the present invention rebuilds, wherein, and (a) discrete data point for grinding one's teeth in sleep; (b) triangle grid model for grinding one's teeth in sleep; The triangle gridding of (c) parameter field; (d) B-spline surface for grinding one's teeth in sleep;
Fig. 5 is the canine tooth curve reestablishing procedure chart that the present invention rebuilds, wherein, and the discrete data point that (a) is canine tooth; B triangle grid model that () is canine tooth; The triangle gridding of (c) parameter field; D B-spline surface that () is canine tooth;
Fig. 6 is the incisor curve reestablishing procedure chart that the present invention rebuilds, wherein, and the discrete data point that (a) is incisor; B triangle grid model that () is incisor; The triangle gridding of (c) parameter field; D B-spline surface that () is incisor;
Fig. 7 is the corona curve reestablishing procedure chart that the present invention rebuilds, wherein, and the discrete data point that (a) is corona; B triangle grid model that () is corona; The triangle gridding of (c) parameter field; D B-spline surface that () is corona.
Embodiment
Below in conjunction with specific embodiment, set forth the present invention further.Should be understood that these embodiments are only not used in for illustration of the present invention to limit the scope of the invention.In addition should be understood that those skilled in the art can make various changes or modifications the present invention, and these equivalent form of values fall within the application's appended claims limited range equally after the content of having read the present invention's instruction.
1, the triangle grid model based on artificial tooth discrete data is rebuild
Step1. optional 1 A in discrete data P, the point B nearest apart from it is found in the neighborhood point of A, using AB as seed triangle limit, then in the neighborhood of A and B, 1 C is found, Δ ABC Minimum Internal Angle is made to obtain maximal value, using Δ ABC as seed triangle, three limits of Δ ABC are as current border;
Step2. to each limit of current border, in its two ends neighborhood of a point, find the 3rd summit D according to circumsphere criterion and construct a new triangle.The triangle of structure should meet following three conditions:
1. .3 summit be not on same straight line;
2.. leg-of-mutton shape will as far as possible close to equilateral triangle
3.. the inside of Δ ABD does not comprise other data point.
To the every bar limit on current border, if D can be found to construct triangle more like this, mark AB is shared by two triangles; If can not find the point meeting above-mentioned three conditions, mark AB is boundary edge;
Step3. upgrade current border, Step2, as current border, is repeated in the leg-of-mutton unshared limit namely obtained in Step2.If suitable neighbor point and the new triangle of its formation all can not be found for each limit of current border in Step2, then concentrate at the left point not participating in grid enable and find new Seed Points and enter Step1.If all data points all take part in the reconstruction of triangle gridding, algorithm terminates.
2, the parametrization of artificial tooth triangle grid model
The plane parameter of artificial tooth triangle grid model is divided into the parametrization of frontier point and the parametrization of internal point.If the summit of artificial tooth triangle grid model is
wherein n internal vertex is designated as V
i={ V
1..., V
n, b border vertices is V
b={ V
n+1..., V
n+b.
The parametrization of 2.1 frontier points
Might as well establish
at border vertices V
bin appoint get 1 V
aas first angle point ψ (V of parameter field
a), at 3D grid border vertices V
bin, by V
bstart in the counterclockwise direction, to find a some V
b, make
set up, then ψ (V
b) as second angle point of parameter field, so analogize, find the trigpoint ψ (V of parameter field
c) and the 4th angle point ψ (V
d), then by V
bin remaining frontier point be mapped on corresponding square limit, as shown in Figure 1.
The parametrization of 2.2 internal point
To each internal vertex V of triangle grid model
iif its first order neighbors point is N
i, be each j ∈ N
iselect weights λ
ij, make V
iparameter coordinate U
ithe weighted mean of the parameter coordinate of its first order neighbors vertex correspondence, namely
The two ends of the formula that internal vertex in formula (1) and border vertices transplanted to respectively obtain
Parameter value corresponding to border vertices obtains in 2.1 joints, then above formula can be write as following system of linear equations:
Ax＝b\*MERGEFORMAT(3)
Wherein, A is | V| × | V| rank matrix (| V| is the number of grid vertex), its element is:
X is the parameter coordinate vector of internal point to be asked, and b is by the parameter coordinate vector of frontier point and corresponding λ
ijvalue calculates.In order to ensure that mapping is one to one, and making parameterized angle distortion amount minimum, there is employed herein permanent positive weights ω
ij
α in formula
ijand β
ijchoose as shown in Figure 2.
As weights λ
ijafter determining, the unknown quantity x in formula (3) can solve by Gaussian elimination the parameter value namely obtaining internal point, and the parameter point of plane domain is carried out trigonometric ratio by its order in spatial model.
3 rule samplings
After completing triangle grid model plane parameter, because the summit of triangle grid model and the summit of plane trigonometry sheet are one to one, we can utilize inverse mapping technology to carry out the rule sampling of triangle grid model, so that carry out B-spline surface reconstruction to it.If given arbitrary parameter field mid point U
ithe triangular plate at place is (U
k, U
m, U
n), and the corresponding in three dimensions tri patch of this tri patch is (V
k, V
m, V
n), as shown in Figure 3.Then put U
ithe point V in corresponding three-dimensional space
i' be
V
i′＝cV
k+tV
m+(1-c-t)V
n
Wherein,
for tri patch Δ U
iu
mu
narea.
The square of parameter field is divided into the individual little square of n × n,
for rounding downwards), obtain (n+1) × (n+1) individual new parameter point U
ij=(u
i, v
j),
the quantity of such new argument point is suitable with original triangle gridding summit quantity, and the formula of utilization can in the hope of parameter point U
ijcorresponding three-dimensional space data point V
ij', and it is connected in order, and use B-spline surface interpolation algorithm to carry out B-spline surface reconstruction.
Fig. 4-Fig. 7 is respectively the curve reestablishing process of the grinding one's teeth in sleep of reconstruction, canine tooth, incisor and corona.As can be seen here, the artificial tooth B-spline surface precision that the present invention rebuilds is high, significantly shortens the oral restoration cycle, alleviates the misery of oral cavity patient, and the shape of doctor to artificial tooth can be facilitated to modify and hypostazation operation.
Claims (5)
1. a parametric surface method for reconstructing for artificial tooth discrete data, is characterized in that, comprise the following steps:
(1) express delivery of circumsphere criterion is utilized to rebuild the triangle grid model of artificial tooth;
(2) HCCI combustion parametric method is used to be mapped to one by one on the summit of the triangle grid model of artificial tooth in the unit square in plane parameter territory;
(3) according to inverse mapping technology, the rule sampling point in the unit square of plane parameter territory is mapped on triangle grid model;
(4) obtain the rule sampling of triangle grid model, utilize B-spline surface interpolation algorithm to obtain the B-spline surface of artificial tooth.
2. the parametric surface method for reconstructing of artificial tooth discrete data according to claim 1, is characterized in that, described step (1) comprises following sub-step:
(11) optional 1 A in discrete data, the point B nearest apart from it is found in the neighborhood point of this A, using an A and the limit of some B as seed triangle, then in the neighborhood of an A and some B, 1 C is found, triangle ABC Minimum Internal Angle is made to obtain maximal value, using triangle ABC as seed triangle, three limits of triangle ABC are as current border;
(12) to each limit of current border, in its two ends neighborhood of a point, find the 3rd summit D according to circumsphere criterion and construct a new triangle, this new triangle meets: 3 summits are not on same straight line; Leg-of-mutton shape will as far as possible close to equilateral triangle; The inside of triangle ABD does not comprise other data point; To the every bar limit on current border, if a D can be found to construct triangle, then mark AB and shared by two triangles; If can not find the some D meeting above-mentioned three conditions, then marking AB is boundary edge;
(13) upgrade current border, step (12), as current border, is repeated in the leg-of-mutton unshared limit namely obtained in step (12); If suitable neighbor point and the new triangle of its formation all can not be found for each limit of current border in step (12), then concentrate at the left point not participating in grid enable and find new Seed Points and enter step (11).
3. the parametric surface method for reconstructing of artificial tooth discrete data according to claim 1, is characterized in that, described step (2) is specially the border vertices V of the triangle grid model at artificial tooth
bin appoint get 1 V
aas first angle point Ψ (V of parameter field
a), triangle grid model border vertices V
bin, start to find a some V in the counterclockwise direction
b, make
set up, wherein,
a and b is the index value of triangle grid model border vertices, || V
i+1-V
i|| be summit V
iwith V
i+1between distance, then Ψ (V
b) as second angle point of parameter field, so analogize, find the trigpoint Ψ (V of parameter field
c) and the 4th angle point Ψ (V
d), then by border vertices V
bin remaining frontier point be mapped on corresponding square limit; To each internal vertex V of triangle grid model
iif its first order neighbors point is N
i, be each j ∈ N
iselect weights λ
ij, make V
iparameter coordinate U
ithe weighted mean of the parameter coordinate of its first order neighbors vertex correspondence, namely
the two ends of internal vertex and border vertices being transplanted respectively to above formula obtain
parameter value corresponding to border vertices obtains, then above formula is write as following system of linear equations: Ax=b, and wherein, A is | V| × | V| rank matrix, | V| is the number of grid vertex, and its element is
x is the parameter coordinate vector of internal point to be asked, and b is by the parameter coordinate vector of frontier point and corresponding λ
ijvalue calculates, as weights λ
ijafter determining, unknown quantity x solves the parameter value namely obtaining internal point by Gaussian elimination, and the parameter point of plane domain is carried out trigonometric ratio by its order in spatial model.
4. the parametric surface method for reconstructing of artificial tooth discrete data according to claim 3, is characterized in that, described weights λ
ijpermanent positive weights are adopted to acquire.
5. the parametric surface method for reconstructing of artificial tooth discrete data according to claim 1, is characterized in that, described step (3) is specially establishes given arbitrary parameter field mid point U
ithe triangular plate at place is (U
k, U
m, U
n), and the corresponding in three dimensions tri patch of this tri patch is (V
k, V
m, V
n), then put U
ithe point V ' in corresponding three-dimensional space
ifor V '
i=cV
k+ tV
m+ (1-c-t) V
n, wherein,
for tri patch Δ U
iu
mu
narea; The square of parameter field is divided into the individual little square of n × n,
obtain (n+1) × (n+1) individual new parameter point U
ij=(u
i, v
j),
the quantity of such new argument point is suitable with original triangle gridding summit quantity, tries to achieve parameter point U
ijcorresponding three-dimensional space data point V '
ij, and it is connected in order.
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106420078A (en) * | 2016-09-29 | 2017-02-22 | 上海正雅齿科科技有限公司 | Calculating method for diaphragm in uneven thickness |
| CN106683169A (en) * | 2016-12-09 | 2017-05-17 | 华南理工大学 | Sparse local decomposition and restructuring algorithm of joint motion sensing |
| CN107689081A (en) * | 2016-08-03 | 2018-02-13 | 佛山市诺威科技有限公司 | A kind of grid model region partitioning method for artificial tooth Digital repair |
| CN107689253A (en) * | 2016-08-03 | 2018-02-13 | 佛山市诺威科技有限公司 | A kind of artificial tooth hat inner surface generation method of parametrization |
| CN109727296A (en) * | 2018-12-27 | 2019-05-07 | 影为医疗科技(上海)有限公司 | Curved surface projection display methods, system, computer media and the equipment of root canal inner cavity |
| CN114299254A (en) * | 2021-12-20 | 2022-04-08 | 北京朗视仪器股份有限公司 | Surface nerve unfolding method and device based on curved surface reconstruction and electronic equipment |
| CN117968621A (en) * | 2024-03-21 | 2024-05-03 | 中铁八局集团昆明铁路建设有限公司 | Surrounding rock deformation monitoring method and device, electronic equipment and readable storage medium |
| CN117968621B (en) * | 2024-03-21 | 2024-07-05 | 中铁八局集团昆明铁路建设有限公司 | Surrounding rock deformation monitoring method and device, electronic equipment and readable storage medium |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH0262677A (en) * | 1988-08-30 | 1990-03-02 | Babcock Hitachi Kk | Producing device for curved surface mesh |
| CN102486809A (en) * | 2010-12-03 | 2012-06-06 | 中国科学院沈阳自动化研究所 | Denture computer-aided design (CAD) model rebuilding method |
| CN104504762A (en) * | 2014-12-31 | 2015-04-08 | 佛山市诺威科技有限公司 | Denture surface locality deformation method based on topological reconstruction |
-
2015
- 2015-09-02 CN CN201510555959.6A patent/CN105118093B/en not_active Expired - Fee Related
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH0262677A (en) * | 1988-08-30 | 1990-03-02 | Babcock Hitachi Kk | Producing device for curved surface mesh |
| CN102486809A (en) * | 2010-12-03 | 2012-06-06 | 中国科学院沈阳自动化研究所 | Denture computer-aided design (CAD) model rebuilding method |
| CN104504762A (en) * | 2014-12-31 | 2015-04-08 | 佛山市诺威科技有限公司 | Denture surface locality deformation method based on topological reconstruction |
Non-Patent Citations (1)
| Title |
|---|
| 张翔 等: "烤瓷冠基底冠模型重构方法研究", 《东南大学学报（医学版）》 * |
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| CN106420078A (en) * | 2016-09-29 | 2017-02-22 | 上海正雅齿科科技有限公司 | Calculating method for diaphragm in uneven thickness |
| CN106420078B (en) * | 2016-09-29 | 2018-09-21 | 上海正雅齿科科技股份有限公司 | The computational methods of non-uniform thickness diaphragm |
| CN106683169B (en) * | 2016-12-09 | 2019-10-18 | 华南理工大学 | A kind of sparse exploded and restructing algorithm of joint motions perception |
| CN106683169A (en) * | 2016-12-09 | 2017-05-17 | 华南理工大学 | Sparse local decomposition and restructuring algorithm of joint motion sensing |
| CN109727296A (en) * | 2018-12-27 | 2019-05-07 | 影为医疗科技(上海)有限公司 | Curved surface projection display methods, system, computer media and the equipment of root canal inner cavity |
| CN109727296B (en) * | 2018-12-27 | 2023-03-10 | 影为医疗科技(上海)有限公司 | Method, system, computer medium and equipment for curved surface projection display of root canal inner cavity |
| CN114299254A (en) * | 2021-12-20 | 2022-04-08 | 北京朗视仪器股份有限公司 | Surface nerve unfolding method and device based on curved surface reconstruction and electronic equipment |
| CN114299254B (en) * | 2021-12-20 | 2022-11-15 | 北京朗视仪器股份有限公司 | Surface nerve unfolding method and device based on curved surface reconstruction and electronic equipment |
| CN117968621A (en) * | 2024-03-21 | 2024-05-03 | 中铁八局集团昆明铁路建设有限公司 | Surrounding rock deformation monitoring method and device, electronic equipment and readable storage medium |
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