CN105931291B - A kind of complete dental modeling method of digitlization - Google Patents
A kind of complete dental modeling method of digitlization Download PDFInfo
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- NJPPVKZQTLUDBO-UHFFFAOYSA-N novaluron Chemical compound C1=C(Cl)C(OC(F)(F)C(OC(F)(F)F)F)=CC=C1NC(=O)NC(=O)C1=C(F)C=CC=C1F NJPPVKZQTLUDBO-UHFFFAOYSA-N 0.000 claims abstract description 11
- 230000008439 repair process Effects 0.000 claims abstract description 11
- 238000001514 detection method Methods 0.000 claims abstract description 7
- 238000005452 bending Methods 0.000 claims description 6
- 238000009499 grossing Methods 0.000 claims description 5
- 238000012545 processing Methods 0.000 claims description 3
- 238000010276 construction Methods 0.000 claims description 2
- 238000012937 correction Methods 0.000 abstract description 4
- 210000000515 tooth Anatomy 0.000 description 81
- 230000005484 gravity Effects 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 210000000214 mouth Anatomy 0.000 description 2
- 208000010641 Tooth disease Diseases 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000004040 coloring Methods 0.000 description 1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T5/00—Image enhancement or restoration
- G06T5/70—Denoising; Smoothing
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T2207/00—Indexing scheme for image analysis or image enhancement
- G06T2207/30—Subject of image; Context of image processing
- G06T2207/30004—Biomedical image processing
- G06T2207/30036—Dental; Teeth
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Abstract
The invention discloses a kind of complete dental modeling methods of digitlization.The initial dentognathic model that 3-D scanning obtains is divided into each tooth model, edge reparation then is carried out to tooth model therein, is deleted and is turned up dough sheet and smooth treatment is carried out to edge；Side reparation is carried out, side cavity is filled up；It carries out collision detection and collision is eliminated, the tooth model after being repaired to side is modified；Bottom reparation is carried out, increases pedestal for tooth model.The present invention can accurately repair the side of the tooth model missing obtained after 3-D scanning, and repair pedestal, and tooth is made to become a complete triangle grid model of closing, and the correction for being conducive to the later stage is realized.
Description
Technical field
The present invention relates to digital oral cavity fields, have concretely related to a kind of complete dental modeling method of digitlization.
Background technology
In recent years, digital oral cavity technology is quickly grown, and hidden tooth abnormal correction is also gradually popularized.To orthodontic process
In, the three-dimensional grid model for establishing tooth is needed, virtual orthodontic treatment is used for.But it is scanned through and cuts the tooth model obtained later
The shortage of data of side and pedestal, is repaired, and complete independent tooth model is formed, with facilitate virtual orthodontic treatment into
Row.
Invention content
In order to solve the problems, such as background technology, the present invention provides a kind of complete dental modeling methods of digitlization.
The technical solution adopted in the present invention is that the initial dentognathic model that 3-D scanning obtains is divided into each tooth mould
Then type is handled tooth model therein using following steps：
A. edge reparation is carried out, is deleted and is turned up dough sheet and smooth treatment is carried out to edge；
B. side reparation is carried out, side cavity is filled up；
There is cavity in the side joint after being divided due to each tooth model between adjacent teeth, it is therefore desirable to phase
It is repaired connection side between adjacent teeth tooth model.
C. it carries out collision detection and collision is eliminated, the tooth model after being repaired to side is modified；
D. bottom reparation is carried out, increases pedestal for tooth model.
Initial dentognathic model is triangle grid model.
The step A is specifically：
A-1 the root mean square curvature on each vertex in initial dentognathic model) is calculated, and according to curvature threshold T by all vertex
It is divided into the two class vertex that curvature is big and curvature is small；
A-3 all tooth models in initial dentognathic model) are traversed, each tooth model is traversed repeatedly by tooth model
The boundary tri patch that edge contains the big vertex of curvature is deleted, until all boundary tri patch at tooth model edge are not deposited
On the big vertex of curvature；
A-4 all tooth models) are traversed, are by three, tooth model edge vertex repeatedly to each tooth model traversal
The boundary tri patch of boundary point is deleted, and until all boundary tri patch at tooth model edge, at least one point is not side
Boundary's point；
A-5 all tooth models) are traversed, two layers of tri patch (including boundary three at edge is located to each tooth model
One layer of tri patch of edged surface piece and boundary tri patch internal layer) carry out Taubin smooth operations.
The step B is specifically：
B-1 bridge) is built, side cavity and bottom cavitation are split；
B-2) bridge is finely divided and is bent, is allowed to be consistent with the true radian of tooth；
B-3) part that is connected of bridge both ends and tooth model lateral edge is smoothed, is allowed to and dental part
It is smoothly connected；
B-4) cavity of side is repaired.
The step B-1) in structure bridge refer to that both sides of the edge in tooth model side near bottom are symmetrically selected
It is the boundary edge of edge tri patch to take both ends of the bridge pier as bridge, bridge pier, the structure with two tri patch two bridge piers of connection
Cheng Qiao.
The step B-1) to be finely divided to bridge refer to the density according to all boundary tri patch of tooth model in bridge
Between be inserted into intermediate point, i.e., be inserted into and all boundary tri patch equal densities on every connection side of two tri patch of bridge
Intermediate point, then connect intermediate point rebuild network topology, be subdivided into multiple triangle gridding
The step B-1) to bridge carry out bending refer to by construct One- place 2-th Order function bridge is segmented after each vertex
Deformation repeatedly is moved along the progress of its normal orientation, to be bent so that the boundary of bridge floor after bending and tooth model side
Tri patch forms smooth surface.
It is described that side cavity repair refer to that cavity is known successively between tooth model side top and bridge
Other hole, trigonometric ratio hole, mesh refinement, Mesh smoothing and geometric corrections several steps repaired, specifically use
《Filling Holes in Meshes》&《A lightweight approach to repairing digitized
polygon meshes》In grid cavity restorative procedure.
The step C is specifically that collision detection is carried out between two neighboring tooth model, is carried out to the part of collision more
Secondary Laplacian smoothing processings are to eliminate collision, until collision is not present between every two adjacent tooth models.
It refers to creating virtual root of the tooth for each tooth model to fill up its bottom cavitation that the bottom, which is repaired, includes mainly
Local coordinate system is established using principle component analysis, three processes of substructure model are adjusted and built to local coordinate system.
The foundation and adjustment of the local coordinate system are as follows each tooth model：
1) local coordinate system is established using principle component analysis (PCA)
2) initial local coordinate system is adjusted according to characteristic value and characteristic direction, obtains final local coordinate system, final part
Coordinate system using the central point of tooth model as origin, Z axis from the central point of tooth model be directed toward corona face direction, X-axis perpendicular to
Arch wire direction and lip buccal side is directed toward by tongue side, Y-axis is along passing through tooth both sides.
The structure substructure model is as follows：
1) substructure height h is determined, from the central point of tooth model, the Z axis negative direction along local coordinate system is on Z axis
It is 8 times of default substructure height h to take the distance between central point of point an O, point O and tooth model；
2) it is taken a bit at the h on the line between the central point of tooth model and point O apart from tooth model central point, mistake
The point establishes the plane perpendicular to local coordinate system Z axis；
3) by point O respectively on the tri patch of tooth model boundary all boundary points carry out straight line connect, straight line with it is upper
State boundary point of the intersection point of the plane intersection of step acquisition as substructure model；
4) boundary point of the boundary point of substructure model and tooth model is subjected to Topology connection, obtains substructure model.
The beneficial effects of the invention are as follows：
The present invention can accurately repair the side of the tooth model missing obtained after 3-D scanning, and repair pedestal, make
Tooth becomes a complete triangle grid model of closing, and the correction for being conducive to the later stage is realized.
Description of the drawings
Fig. 1 is tooth root mean square curvature sign picture, and gray scale is deeper, indicates that curvature is bigger；
Fig. 2 is single tooth root mean square curvature sign picture, and gray scale is deeper, indicates that curvature is bigger；
Fig. 3 is to delete to turn up dough sheet and complete the tooth model of smooth operation；
Fig. 4 is that single tooth model carries out the front and back comparison of smooth operation；
Fig. 5 is the tooth model for needing to carry out side reparation；
Fig. 6 is " bridge " repaired constructed by side；
Fig. 7 is the tri patch structure of " bridge "；
Fig. 8 is " bridge " after refinement；
Fig. 9 is " bridge " after flexural deformation；
Figure 10 is " bridge " after smoothing processing；
Figure 11 is that the tooth model finished is repaired in side；
Figure 12 is the tooth model that mutually collides after side is repaired；
Figure 13 is the tooth model eliminated after collision；
Figure 14 is pedestal restorative procedure schematic diagram；
Figure 15 is the tooth that pedestal reparation finishes.
Specific implementation mode
Below in conjunction with the accompanying drawings and specific embodiment invention is further described in detail.
The embodiment of the present invention and its specific implementation process are as follows：
The tooth edge being just cut into can have many turn up dough sheet and burrs, to ensure the accuracy of tooth model,
It needs to repair edge.As shown in Figure 1, according to amount of curvature, colouring can be carried out to tooth model and is distinguished, it is dark
Region is the larger region of curvature, and light areas is the smaller region of curvature, and in the present embodiment, the curvature threshold taken is 6.
Fig. 2 is the curvature distribution schematic diagram of single tooth model.All tooth models are traversed first, and deleting tooth model edge has vertex
It is identified as the larger boundary tri patch of curvature, in the present embodiment, the operation carries out 8 iteration to each tooth model；
Then flash removed is removed, all tooth models are traversed, deletes the boundary triangular facet that three, edge of tooth model vertex is all boundary point
Piece, in the present embodiment, to each tooth model, the operation carries out 5 iteration.All tooth models are then traversed, to each tooth
Two layers of tri patch on the boundary of tooth model is marked, and carries out Taubin smooth operations to mark part.After contour completion
Tooth model as shown in figure 3, single tooth edge of model to repair front and back comparison diagram as shown in Figure 4.
When cutting tooth model, because some adjacent teeths distance is closer, lead to the tooth model being cut into
Exist in lateral parts and lacks.Complete single tooth model in order to obtain, need the tooth model that these sides are lacked into
It repairs row side.Need the tooth model repaired as shown in Figure 5.Two points are chosen at side cavity edge, build bridge to divide
Side cavity and bottom cavitation, as shown in Figure 6.The tri patch of " bridge " that has just built is as shown in fig. 7, according to the density of boundary point
Bridge is finely divided, the point of certain amount is inserted on bridge, topology is rebuild, obtains bridge shown in Fig. 8.Then bridge is carried out
Bending, adjusts the bending degree of bridge, is allowed to be consistent with actual conditions, as shown in Figure 9.Finally the both ends of bridge are smoothly grasped
Make, is allowed to be smoothly connected with tooth tri patch, as shown in Figure 10, finally side cavity is identified and is filled up, such as Figure 11
It is shown.
Side tooth surface after reparation can have certain difference with actual conditions, and be likely to occur what adjacent teeth collided
Situation, as shown in figure 12.It is collided to eliminate, needs to carry out collision detection to two adjacent teeth, it is right if being collided
Laplacian of grid progress for collision part is smooth, the presence if smooth collision later remains unchanged, repeatedly smoothing step, if
Collision is eliminated, then enters the collision detection and removal process of lower a pair of of tooth.The tooth eliminated after collision is as shown in figure 13.
Side tooth surface also needs to repair pedestal after being disposed, to obtain a closed tooth model.It adopts first
With principle component analysis, the local coordinate system of Primary Construction tooth, and coordinate system is adjusted so that local coordinate meets Z axis
It is directed toward corona face direction from model center of gravity, X-axis is directed toward lip buccal side perpendicular to arch wire direction, by tongue side, and Y-axis passes through tooth two
Side.Then according to reference axis, bottom cavitation is repaired.As shown in figure 14, it is first determined the height h of pedestal, in this implementation
In example, h values are 8.Then determine that a point O of Z axis negative direction, point the distance between O and center of gravity are 8h.In point O and center of gravity
Between taken at center of gravity h a bit, cross the point and determine a plane perpendicular to local coordinate system Z axis, then link model institute
Some boundary points and point O, a circle intersection point is generated with the plane, and the boundary point of intersection point and model is carried out topology according to certain rule
Connection can obtain the more regular pedestal of a shape.
Thus the present embodiment realizes the side for precisely repairing the tooth model missing obtained after 3-D scanning, and repairs bottom
Seat forms and closes complete triangle grid model.
Claims (8)
1. a kind of complete dental modeling method of digitlization, it is characterised in that the initial dentognathic model that 3-D scanning obtains to be divided into
Then each tooth model is handled tooth model therein using following steps：
A. edge reparation is carried out, is deleted and is turned up dough sheet and smooth treatment is carried out to edge；
B. side reparation is carried out, side cavity is filled up；
C. it carries out collision detection and collision is eliminated, the tooth model after being repaired to side is modified；
D. bottom reparation is carried out, increases pedestal for tooth model；
The step A is specifically：
A-1 the root mean square curvature on each vertex in initial dentognathic model) is calculated, and is divided into all vertex according to curvature threshold T
The two class vertex that curvature is big and curvature is small；
A-3 all tooth models in initial dentognathic model) are traversed, each tooth model is traversed repeatedly by tooth model edge
Boundary tri patch containing the big vertex of curvature is deleted；
A-4 all tooth models) are traversed, are repeatedly boundaries by three, tooth model edge vertex to each tooth model traversal
The boundary tri patch of point is deleted；
A-5 all tooth models) are traversed, two layers of tri patch progress Taubin that edge is located to each tooth model is smoothly grasped
Make.
2. a kind of complete dental modeling method of digitlization according to claim 1, it is characterised in that：The step B is specific
It is to include：
B-1 bridge) is built, side cavity and bottom cavitation are split；
B-2) bridge is finely divided and is bent, is allowed to be consistent with the true radian of tooth；
B-3) bridge both ends are smoothed with the part that is connected of tooth model lateral edge；
B-4) cavity of side is repaired.
3. a kind of complete dental modeling method of digitlization according to claim 2, it is characterised in that：The step B-1) in
Structure bridge refers to that both ends of the bridge pier as bridge, bridge pier are symmetrically chosen in the both sides of the edge in tooth model side near bottom
For the boundary edge of edge tri patch, connects two bridge piers with two tri patch and constitute bridge.
4. a kind of complete dental modeling method of digitlization according to claim 2, it is characterised in that：The step B-2) it is right
It refers to that intermediate point is inserted among bridge according to the density of all boundary tri patch of tooth model that bridge, which is finely divided, in then connecting
Between point rebuild network topology, be subdivided into multiple triangle griddings.
5. a kind of complete dental modeling method of digitlization according to claim 2, it is characterised in that：The step B-2) it is right
It refers to that each vertex after being segmented bridge by construction One- place 2-th Order function is repeatedly moved along its normal orientation that bridge, which carries out bending,
Dynamic deformation so that bridge floor after bending and the boundary tri patch of tooth model side form smooth surface.
6. a kind of complete dental modeling method of digitlization according to claim 1, it is characterised in that：The step C is specific
It is that collision detection is carried out between two neighboring tooth model, carrying out multiple Laplacian smoothing processings to the part of collision uses
To eliminate collision, until collision is not present between every two adjacent tooth models.
7. a kind of complete dental modeling method of digitlization according to claim 1, it is characterised in that：It repairs the bottom
Refer to creating virtual root of the tooth for each tooth model to fill up its bottom cavitation, main includes establishing part using principle component analysis
Coordinate system, three processes that substructure model is adjusted and built to local coordinate system.
8. a kind of complete dental modeling method of digitlization according to claim 7, it is characterised in that：The structure base mold
Type is as follows：
1) from the central point of tooth model, point an O, point O and tooth are taken on Z axis along the Z axis negative direction of local coordinate system
The distance between central point of tooth model is 8 times of default substructure height h；
2) it is taken at the h on the line between the central point of tooth model and point O apart from tooth model central point a bit, crosses the point
Establish the plane perpendicular to local coordinate system Z axis；
3) point O is carried out straight line with all boundary points on the tri patch of tooth model boundary respectively to connect, straight line and above-mentioned step
Suddenly boundary point of the intersection point of the plane intersection obtained as substructure model；
4) boundary point of the boundary point of substructure model and tooth model is subjected to Topology connection, obtains substructure model.
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| CN108567501B (en) * | 2017-03-14 | 2021-04-27 | 无锡时代天使医疗器械科技有限公司 | Reconstruction method of tooth adjacent surface |
| CN107230255B (en) * | 2017-06-14 | 2020-10-30 | 杭州美齐科技有限公司 | Tooth restoration method based on universal template |
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| CN108242267A (en) * | 2018-04-11 | 2018-07-03 | 大连市口腔医院 | A kind of dentognathic system finite element modeling method based on DICM data |
| CN110473283B (en) | 2018-05-09 | 2024-01-23 | 无锡时代天使医疗器械科技有限公司 | Method for setting local coordinate system of tooth three-dimensional digital model |
| CN109035408B (en) * | 2018-07-12 | 2022-12-06 | 杭州美齐科技有限公司 | Three-dimensional digital tooth upper and lower jaw relation detection algorithm based on cross section |
| CN112006791B (en) * | 2020-08-31 | 2021-11-09 | 正雅齿科科技(上海)有限公司 | Method and system for acquiring tooth correction information |
| CN112288886B (en) * | 2020-09-15 | 2022-02-15 | 陈学鹏 | Tooth position arrangement method of accurate digital tooth model |
| CN112734948A (en) * | 2021-01-20 | 2021-04-30 | 先临三维科技股份有限公司 | Method and apparatus for adjusting a dental model |
| CN115661406B (en) * | 2022-12-23 | 2023-06-02 | 深圳市创想三维科技股份有限公司 | Tooth model restoration method, device, equipment and storage medium |
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