CN110930513A - Dental jaw simulation model generation method and system and dental appliance - Google Patents

Dental jaw simulation model generation method and system and dental appliance Download PDF

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CN110930513A
CN110930513A CN201911127854.5A CN201911127854A CN110930513A CN 110930513 A CN110930513 A CN 110930513A CN 201911127854 A CN201911127854 A CN 201911127854A CN 110930513 A CN110930513 A CN 110930513A
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CN110930513B (en
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潘晓岗
蔡宗远
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Ninth Peoples Hospital Shanghai Jiaotong University School of Medicine
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    • G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
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Abstract

A dental simulation model generation method comprises the following steps: obtaining a dental model, wherein the dental model at least comprises a tooth body, a periodontal ligament and an alveolar bone; meshing the dental model to obtain a mesh model, wherein the position change of each vertex in the mesh model reflects the change of the geometric shape of the dental model; assigning corresponding initial bone density values to each grid cell in the grid model; and analyzing the change of the geometric shape and the change of the bone density of the grid model under the load state, and regrinding the dental model based on the change of the geometric shape and the change of the bone density of the grid model to obtain the grid model meeting the requirements. Because the bone density and the geometric shape change are fused, the tooth jaw simulation model can simulate the change of the alveolar bone shape and density after the tooth moves, and the tooth appliance designed and manufactured according to the tooth jaw simulation model can achieve the efficient orthodontic effect.

Description

Dental jaw simulation model generation method and system and dental appliance
Technical Field
The invention relates to the technical field of tooth orthodontics, in particular to a method and a system for generating a dental jaw simulation model for designing a tooth corrector and the tooth corrector.
Background
The shell-shaped tooth appliance is a series of shell-shaped tooth appliances which are manufactured by dividing dentition into movable single dentition units based on a digital dentition model, gradually moving the single dentition units to form a series of digital models, and then printing a series of gradually deformed models in a 3D mode through a hot-pressing film process. The shell-shaped tooth appliance which deforms gradually is sequentially sleeved on the dentition of the patient to perform orthodontics on the teeth through the resilience force of the tooth appliance.
The digital model of the existing designed tooth appliance and the dentition model divided into movable tooth units only reflect the geometric model of tooth positions and shapes, and the tooth movement design is that the digital tooth units move from initial positions to corrected target positions without reflecting the influence of factors such as periodontal ligament, alveolar bone, bone density and the like on the tooth movement process. Therefore, the positions of teeth of the shell-shaped dental appliance after orthodontic treatment are different from the designed target positions, and the appliance needs to be added for secondary orthodontic treatment or clinically reaches the target positions through an auxiliary method.
Disclosure of Invention
The application provides a tooth jaw simulation model generation method, system and tooth correction device, fuses the simulation of bone density, makes tooth jaw simulation model more be close true tooth and periodontal structure, and the effect of correcting of the tooth correction device made by this tooth jaw simulation model is more close just abnormal target position, and it is better to make the effect of correcting, and it is higher to correct efficiency.
According to a first aspect, there is provided a dental simulation model generation method, comprising:
obtaining a dental model, wherein the dental model at least comprises a tooth body, a periodontal ligament and an alveolar bone;
gridding the dental model to obtain a grid model, wherein the position change of each vertex in the grid model reflects the change of the geometric shape of the dental model;
assigning respective initial bone density values to each mesh cell in the mesh model;
and analyzing the change of the geometric shape and the change of the bone density of the grid model under the load state, and re-gridding the dental model based on the change of the geometric shape and the change of the bone density of the grid model to obtain the grid model meeting the requirements.
Further preferably, the assigning the corresponding initial bone density value to each grid cell in the grid model specifically includes: endowing each grid unit with corresponding initial bone density value rho according to the gray value of the image0。
Further preferably, analyzing the change in bone density of the mesh model under the load condition specifically includes:
calculating the strain generated by the grid model under the load state
Figure RE-GDA0002375921410000021
Calculating strain
Figure RE-GDA0002375921410000022
And strain threshold
Figure RE-GDA0002375921410000023
The error e between;
calculating the change rate of the bone density according to the error e
Figure RE-GDA0002375921410000024
According to said rate of change
Figure RE-GDA0002375921410000025
Calculating bone density of the mesh model:
Figure RE-GDA0002375921410000026
wherein rho is the bone density of the grid model in the load state, and delta t is the load acting duration.
Further preferably, the calculating of the rate of change of bone density from the error e is performed
Figure RE-GDA0002375921410000027
The method specifically comprises the following steps:
calculating the deposition rate or absorption rate of the bone according to the error e
Figure RE-GDA0002375921410000028
According to the deposition rate
Figure RE-GDA00023759214100000215
Calculating the rate of change of bone Density
Figure RE-GDA0002375921410000029
Wherein S isvIs the bone surface area density, ρtIs the true density of the bone tissue.
Further preferably, the analyzing the change in the geometry of the mesh model under the load state specifically includes:
Figure RE-GDA00023759214100000210
wherein r is0Is the geometric initial position.
According to a second aspect, a dental appliance is provided, which is manufactured according to a dental model 3D printing or hot pressing process, wherein the dental model is obtained by using the dental simulation model generation method.
According to a third aspect, there is provided a dental simulation model generation system, comprising:
the acquisition module is used for acquiring a dental model, and the dental model at least comprises a tooth body, a periodontal ligament and an alveolar bone;
the transformation module is used for meshing the dental model to obtain a mesh model, and the position change of each vertex in the mesh model reflects the change of the geometric shape of the dental model;
an initialization module for assigning a corresponding initial bone density value to each grid cell in the grid model;
and the analysis module is used for analyzing the geometric shape change and the bone density change of the grid model under the load state, and carrying out gridding on the dental model again based on the geometric shape change and the bone density change of the grid model to obtain the grid model meeting the requirements.
Further preferably, theThe initialization module endows each grid unit with a corresponding initial bone density value rho according to the gray value of the image0。
Further preferably, the analysis module performs the following steps to analyze the change of bone density of the mesh model under the loading state:
calculating the strain generated by the grid model under the load state
Figure RE-GDA00023759214100000211
Calculating strain
Figure RE-GDA00023759214100000212
And strain threshold
Figure RE-GDA00023759214100000213
The error e between;
calculating the change rate of the bone density according to the error e
Figure RE-GDA00023759214100000214
According to said rate of change
Figure RE-GDA0002375921410000031
Calculating bone density of the mesh model:
Figure RE-GDA0002375921410000032
wherein rho is the bone density of the grid model in the load state, and delta t is the load acting duration.
Further preferably, the calculating of the rate of change of bone density from the error e is performed
Figure RE-GDA0002375921410000033
The method specifically comprises the following steps:
calculating the deposition rate or absorption rate of the bone according to the error e
Figure RE-GDA0002375921410000034
According to the deposition rate
Figure RE-GDA0002375921410000035
Calculating the rate of change of bone Density
Figure RE-GDA0002375921410000036
Wherein S isvIs the bone surface area density, ρtIs the true density of the bone tissue.
Further preferably, the analyzing module analyzes a change in the geometry of the mesh model under a load state, and specifically includes:
Figure RE-GDA0002375921410000037
wherein r is0Is the geometric initial position.
According to the generation method of the dental simulation model of the embodiment, the bone density and the geometric shape change are fused, so that the dental simulation model can truly simulate teeth, and the dental appliance manufactured according to the dental simulation model can achieve an efficient orthodontic effect.
Drawings
FIG. 1 is a flow chart of a method for generating a dental simulation model;
FIG. 2 is a schematic diagram of a meshed dental model.
Detailed Description
The present invention will be described in further detail with reference to the following detailed description and accompanying drawings.
The invention provides a generation method of a dental simulation model for designing a dental appliance, which is different from the existing dental appliance design model in that the dental simulation model of the invention fuses periodontal ligament and alveolar bone instead of an isolated tooth and introduces bone density in the simulation process, so that the generation method of the dental simulation model of the invention can simulate the tooth more truly.
As shown in FIG. 1, the method for generating a dental simulation model for designing a dental appliance provided by the invention specifically comprises the following steps.
S100: and obtaining the dental model.
In this step, a dental model can be obtained by CT scanning, and the dental model at least includes a tooth body, a periodontal ligament, and an alveolar bone.
S200: and meshing the dental model to obtain a mesh model.
The change in the position of each vertex in the mesh model reflects the change in the geometry of the dental model, as shown in FIG. 2.
S300: each mesh cell in the mesh model is assigned a corresponding initial bone density value.
In this step, each grid cell is assigned with a corresponding initial bone density value ρ according to the gray level of the image0。
Specifically, ρ0Where a and b are adjustable coefficients and x is the gray value of the CBCT image.
S400: and analyzing the change of the geometric shape and the change of the bone density of the grid model under the load state, and regrinding the dental model based on the change of the geometric shape and the change of the bone density of the grid model to obtain the grid model meeting the requirements.
Wherein, the bone density change of the grid model under the analysis load state specifically includes:
calculating the strain generated by the grid model under the load state
Figure RE-GDA0002375921410000041
Figure RE-GDA0002375921410000042
Wherein n isiNumber of cycles per day, σ, representing load type iblWeighting factors representing the effective stress at the level of the bone tissue, m representing the relative importance of the stress magnitude and the load period;
calculating strain
Figure RE-GDA0002375921410000043
And strain threshold
Figure RE-GDA0002375921410000044
The error e between;
Figure RE-GDA0002375921410000045
calculating the change rate of bone density according to the error e
Figure RE-GDA0002375921410000046
Specifically, the bone deposition rate or absorption rate is calculated according to the error e
Figure RE-GDA0002375921410000047
Figure RE-GDA0002375921410000048
Wherein c and w are constants;
according to the deposition rate
Figure RE-GDA0002375921410000049
Calculating the rate of change of bone Density
Figure RE-GDA00023759214100000410
Wherein S isvIs the bone surface area density, ρtIs the true density of the bone tissue;
according to said rate of change
Figure RE-GDA00023759214100000411
Calculating bone density of the mesh model:
Figure RE-GDA00023759214100000412
wherein rho is the bone density of the grid model in the load state, and delta t is the load acting duration.
Analyzing the change of the geometric shape of the grid model under the load state, specifically comprising:
Figure RE-GDA00023759214100000413
wherein r is0Is the geometric initial position.
When a load is applied to the mesh model obtained by the method, the bone density of the tooth and the geometric shape of the tooth can be intuitively obtained, and powerful parameters are provided for subsequent tooth orthodontics.
Based on the generation method of the dental simulation model, the invention also provides a dental appliance which is manufactured according to the 3D printing or hot pressing process of the dental model, wherein the dental model is the dental model obtained by adopting the generation method of the dental simulation model, so that the dental appliance manufactured by the invention can better combine the periodontal tissues of periodontal ligament and the bone density of alveolar bone in the process of orthodontic tooth, and the aim of rapid and efficient orthodontic treatment is fulfilled.
Based on the dental simulation model generation method, the invention also provides a dental simulation model generation system for designing a dental appliance, which comprises the following steps:
the acquisition module is used for acquiring a dental model, and the dental model at least comprises a tooth body, a periodontal ligament and an alveolar bone; the acquisition module can acquire a dental model in a CT scanning mode, and the dental model at least comprises a tooth body, a periodontal ligament and an alveolar bone.
And the conversion module is used for gridding the dental model to obtain a grid model, and the position change of each vertex in the grid model reflects the change of the geometric shape of the dental model.
And the initialization module is used for endowing each grid unit in the grid model with a corresponding initial bone density value.
Wherein, the initialization module particularly assigns corresponding initial bone density values rho to each grid cell according to the gray value of the image0：ρ0Where a and b are adjustable coefficients and x is the gray value of the CBCT image.
And the analysis module is used for analyzing the geometric shape change and the bone density change of the grid model under the load state, and regridding the dental model based on the geometric shape change and the bone density change of the grid model to obtain the grid model meeting the requirements.
Wherein, the bone density change of grid model under analysis load state of analysis module specifically includes:
calculating the strain generated by the grid model under the load state
Figure RE-GDA0002375921410000051
Figure RE-GDA0002375921410000052
Wherein n isiNumber of cycles per day, σ, representing load type iblWeighting factors representing the effective stress at the level of the bone tissue, m representing the relative importance of the stress magnitude and the load period;
calculating strain
Figure RE-GDA0002375921410000053
And strain threshold
Figure RE-GDA0002375921410000054
The error e between;
Figure RE-GDA0002375921410000055
calculating the change rate of bone density according to the error e
Figure RE-GDA0002375921410000056
Specifically, the bone deposition rate is calculated according to the error e
Figure RE-GDA0002375921410000057
Figure RE-GDA0002375921410000058
Wherein c and w are constants;
according to deposition rate or absorption rate
Figure RE-GDA0002375921410000059
Calculating the rate of change of bone Density
Figure RE-GDA00023759214100000510
Wherein S isvIs the bone surface area density, ρtIs the true density of the bone tissue;
according to the rate of change
Figure RE-GDA00023759214100000511
Calculating the bone density of the grid model:
Figure RE-GDA00023759214100000512
wherein rho is the bone density of the grid model in the load state, and delta t is the load acting duration.
The analysis module analyzes the change of the geometric shape of the grid model under the load state, and specifically comprises the following steps:
Figure RE-GDA00023759214100000513
wherein r is0Is the geometric initial position.
When a load is applied to the mesh model obtained by the system, the bone density of the teeth and the geometric shape of the teeth can be intuitively obtained, and powerful parameters are provided for subsequent orthodontic treatment of the teeth.
The present invention has been described in terms of specific examples, which are provided to aid understanding of the invention and are not intended to be limiting. For a person skilled in the art to which the invention pertains, several simple deductions, modifications or substitutions may be made according to the idea of the invention.

Claims (11)

1. A method for generating a dental simulation model, comprising:
obtaining a dental model, wherein the dental model at least comprises a tooth body, a periodontal ligament and an alveolar bone;
gridding the dental model to obtain a grid model, wherein the position change of each vertex in the grid model reflects the change of the geometric shape of the dental model;
assigning respective initial bone density values to each mesh cell in the mesh model;
and analyzing the change of the geometric shape and the change of the bone density of the grid model under the load state, and re-gridding the dental model based on the change of the geometric shape and the change of the bone density of the grid model to obtain the grid model meeting the requirements.
2. The method for generating a dental simulation model according to claim 1, wherein the assigning of the corresponding initial bone density value to each grid cell in the grid model comprises: endowing each grid unit with corresponding initial bone density value rho according to the gray value of the image0。
3. The method for generating a dental simulation model according to claim 2, wherein analyzing the change in bone density of the mesh model under a load condition comprises:
calculating the strain generated by the grid model under the load state
Figure RE-FDA0002375921400000011
Calculating strain
Figure RE-FDA0002375921400000012
And strain threshold
Figure RE-FDA0002375921400000013
The error e between;
calculating the change rate of the bone density according to the error e
Figure RE-FDA0002375921400000014
According to said rate of change
Figure RE-FDA0002375921400000015
Calculating bone density of the mesh model:
Figure RE-FDA0002375921400000016
where ρ is the load stateBone density of the lower mesh model, Δ t is the load duration.
4. The method for generating a dental simulation model according to claim 3, wherein the calculating the rate of change of bone density according to the error e
Figure RE-FDA0002375921400000017
The method specifically comprises the following steps:
calculating the deposition rate or absorption rate of the bone according to the error e
Figure RE-FDA0002375921400000018
According to the deposition rate
Figure RE-FDA0002375921400000019
Calculating the rate of change of bone Density
Figure RE-FDA00023759214000000110
Figure RE-FDA00023759214000000111
Wherein S isvIs the bone surface area density, ρtIs the true density of the bone tissue.
5. The method for generating a dental simulation model according to claim 4, wherein analyzing the change in geometry of the mesh model under a load condition comprises:
Figure RE-FDA00023759214000000112
wherein r is0Is the geometric initial position.
6. A dental appliance, which is characterized by being manufactured according to a dental model 3D printing or hot pressing process, wherein the dental model is obtained by adopting the dental simulation model generation method of any one of claims 1 to 5.
7. A dental simulation model generation system, comprising:
the acquisition module is used for acquiring a dental model, and the dental model at least comprises a tooth body, a periodontal ligament and an alveolar bone;
the transformation module is used for meshing the dental model to obtain a mesh model, and the position change of each vertex in the mesh model reflects the change of the geometric shape of the dental model;
an initialization module for assigning a corresponding initial bone density value to each grid cell in the grid model;
and the analysis module is used for analyzing the geometric shape change and the bone density change of the grid model under the load state, and carrying out gridding on the dental model again based on the geometric shape change and the bone density change of the grid model to obtain the grid model meeting the requirements.
8. The dental simulation model generation system of claim 7, wherein the initialization module assigns a respective initial bone density value ρ to each grid cell according to a gray value of the image0。
9. The dental simulation model generation system of claim 8, wherein the analysis module analyzes the mesh model for changes in bone density under load by performing the following steps:
calculating the strain generated by the grid model under the load state
Figure RE-FDA0002375921400000021
Calculating strain
Figure RE-FDA0002375921400000022
And strain threshold
Figure RE-FDA0002375921400000023
In betweenAn error e;
calculating the change rate of the bone density according to the error e
Figure RE-FDA0002375921400000024
According to said rate of change
Figure RE-FDA0002375921400000025
Calculating bone density of the mesh model:
Figure RE-FDA0002375921400000026
wherein rho is the bone density of the grid model in the load state, and delta t is the load acting duration.
10. The dental simulation model generation system of claim 9, wherein the calculating a rate of change of bone density as a function of the error e
Figure RE-FDA0002375921400000027
The method specifically comprises the following steps:
calculating the deposition rate or absorption rate of the bone according to the error e
Figure RE-FDA0002375921400000028
According to the deposition rate
Figure RE-FDA0002375921400000029
Calculating the rate of change of bone Density
Figure RE-FDA00023759214000000210
Figure RE-FDA00023759214000000211
Wherein S isvIs the bone surface area density, ρtIs the true density of the bone tissue.
11. The dental jaw of claim 10The simulation model generation system is characterized in that the analysis module analyzes the change of the geometric shape of the grid model under a load state, and specifically comprises:
Figure RE-FDA00023759214000000212
wherein r is0Is the geometric initial position.
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