CN114948284A - Dental instrument, method for designing dental instrument, and method for designing mounting table - Google Patents

Dental instrument, method for designing dental instrument, and method for designing mounting table Download PDF

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Publication number
CN114948284A
CN114948284A CN202110217828.2A CN202110217828A CN114948284A CN 114948284 A CN114948284 A CN 114948284A CN 202110217828 A CN202110217828 A CN 202110217828A CN 114948284 A CN114948284 A CN 114948284A
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tooth
dental
mounting table
mounting
designing
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赵晓磊
於路
姚峻峰
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Shanghai Zhengya Dental Technology Co Ltd
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Shanghai Zhengya Dental Technology Co Ltd
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    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61CDENTISTRY; APPARATUS OR METHODS FOR ORAL OR DENTAL HYGIENE
    • A61C7/00Orthodontics, i.e. obtaining or maintaining the desired position of teeth, e.g. by straightening, evening, regulating, separating, or by correcting malocclusions
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61CDENTISTRY; APPARATUS OR METHODS FOR ORAL OR DENTAL HYGIENE
    • A61C7/00Orthodontics, i.e. obtaining or maintaining the desired position of teeth, e.g. by straightening, evening, regulating, separating, or by correcting malocclusions
    • A61C7/002Orthodontic computer assisted systems
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61CDENTISTRY; APPARATUS OR METHODS FOR ORAL OR DENTAL HYGIENE
    • A61C7/00Orthodontics, i.e. obtaining or maintaining the desired position of teeth, e.g. by straightening, evening, regulating, separating, or by correcting malocclusions
    • A61C7/02Tools for manipulating or working with an orthodontic appliance

Abstract

The invention provides a dental appliance, a design method thereof and a design method of a mounting table, wherein the dental appliance comprises a shell-shaped tooth appliance and a traction device, the shell-shaped tooth appliance is a cavity for accommodating a plurality of teeth, the outer surface of the shell-shaped tooth appliance is also convexly provided with the mounting table, the mounting table is provided with a mounting surface matched with the traction device, and the mounting surface and a dental arch curve section corresponding to the accommodated teeth are arranged in an angle; when the dental appliance is worn in the mouth for traction, the axis of the traction device generates three-dimensional angle compensation, so that the torsional force generated by the interaction of the traction device and the mounting table on the shell-shaped tooth appliance is reduced. The dental appliance provided by the invention can perform angle compensation according to the traction direction of the traction device, so that the stress of the dental appliance is more consistent with the correction plan when the dental appliance performs traction correction, and the correction accuracy is improved.

Description

Dental instrument, method for designing dental instrument, and method for designing mounting table
Technical Field
The invention belongs to the field of medical instruments, and relates to a dental instrument, a design method of the dental instrument and a design method of an installation table.
Background
The invisible tooth appliance is more and more accepted and used by the majority of orthodontic patients due to the advantages of beautiful appearance, sanitation, convenient taking and wearing and better correction effect. When the invisible tooth appliance is matched for orthodontic correction, auxiliary correction devices such as accessories, tongue side buckles and the like are usually used, the auxiliary correction device is usually arranged on a tooth in a mode of being matched with the invisible tooth appliance at present, and a groove is arranged on the invisible tooth appliance correspondingly to avoid the auxiliary correction device; the stealthy tooth is rescued and is set up and supplementary fitting part of correcting the device complex in addition for supplementary device of correcting can be installed in the outer surface of stealthy tooth and is rescued the ware or pass fitting part and stealthy tooth and correct the ware cooperation, and above-mentioned two kinds of modes all have certain limitation, if because individuation difference, everybody's the intraoral condition is different, adopts same kind of mode and installation angle, is carrying out the individuation and corrects the in-process and receive the design limitation, if pull the adjustment of angle.
Therefore, it is important to study a fitting portion that is provided on an invisible dental appliance and that can adjust the pulling angle, and to adjust the pulling angle adaptively according to the needs of the orthodontic plan.
Disclosure of Invention
The invention aims to overcome the defects in the prior art, provides a dental instrument and a design method thereof, and a design method of a shell-shaped tooth appliance traction device mounting table, and the finally obtained dental instrument can perform angle compensation according to the traction direction of a traction device, so that the stress of the dental instrument is more consistent with the correction plan when the dental instrument is subjected to traction correction, and the correction accuracy is improved.
The invention solves the technical problems through the following technical scheme:
a dental appliance comprises a shell-shaped tooth appliance and a traction device, wherein the shell-shaped tooth appliance is a cavity for accommodating a plurality of teeth, the outer surface of the shell-shaped tooth appliance is also convexly provided with an installation platform, an installation surface matched with the traction device is arranged on the installation platform, and the installation surface and a dental arch curve tangent plane corresponding to the accommodated teeth are arranged in an angle manner; when the dental appliance is worn in the mouth for traction, the axis of the traction device generates three-dimensional angle compensation, so that the torsion force generated by the interaction of the traction device and the mounting table on the shell-shaped dental appliance is reduced.
Further, the mounting surface and the corresponding tangent plane of the outermost point of the buccolingual direction of the teeth form an angle of 1-30 degrees.
Further, the three-dimensional angle compensation is the three-dimensional angle compensation of the traction device under a three-dimensional space coordinate system of the dental instrument.
Further, the three-dimensional space coordinate system of the dental instrument comprises an X axis along the tangential direction of the center point of the tooth, a Y axis perpendicular to the X axis on the jaw plane and a Z axis along the long axis direction of the tooth.
Further, the mounting surface is a plane or a curved surface which is basically consistent with the radian of the tooth surface.
Further, when the mounting surface is a plane, the axis of the traction device is basically perpendicular to the surface, far away from the teeth, of the mounting table.
Further, when the installation surface is a curved surface, the axis of the traction device is basically vertical to the tangent plane of the highest point of the curved surface.
Further, the three-dimensional angle compensation is provided by the traction direction of the traction means.
Further, the mounting table comprises a mounting table proximal surface and a mounting table distal surface, and the mounting table proximal surface and the mounting table distal surface are convexly arranged on the outer surface of the shell-shaped dental appliance at different heights.
Further, when the traction device generates traction force towards the mesial direction, the height of the mounting table, which is convexly arranged on the outer surface of the shell-shaped dental appliance, of the mesial surface is smaller than the height of the mounting table, which is convexly arranged on the outer surface of the shell-shaped dental appliance, of the distal surface; when the traction device generates traction force in the far direction, the height of the far surface of the mounting platform, which is convexly arranged on the outer surface of the shell-shaped dental appliance, is smaller than the height of the near surface of the mounting platform, which is convexly arranged on the outer surface of the shell-shaped dental appliance.
Furthermore, a through hole for the traction device to pass through is further formed in the mounting surface of the mounting table, and the traction device passes through the through hole and is fixed with the mounting table.
Furthermore, the traction device comprises a fixing part and a traction part, the fixing part is accommodated in the mounting table, and the traction part is arranged on the outer surface of the mounting table.
Further, the mounting surface of the mounting table and the traction device are fixedly connected through welding, bonding and riveting.
The invention also provides a design method of the dental instrument, which comprises the following steps:
acquiring an initial dental digital model, wherein the initial dental model comprises a tooth digital model;
carrying out segmentation processing on the tooth digital model to obtain a single complete tooth digital model;
designing a target correcting position of the target tooth digital model, wherein the target correcting position comprises a specific target position of the single tooth digital model and a target dental arch curve after target teeth are aligned;
designing a dental appliance according to a tooth correcting plan; the dental appliance comprises a shell-shaped dental appliance and a traction device; the correcting plan comprises the position of a digital model of a traction device, the digital model of the traction device interacts with a corresponding shell-shaped tooth correcting device model, traction force is generated when oral/extraoral traction is carried out, the simulated teeth move to a target position, the relative position of the initial dental digital model is gradually changed to the relative position of the target dental digital model, and a series of middle dental digital models are generated; designing a corresponding shell-shaped tooth appliance according to a series of middle dental digital models in the appliance plan; the single shell-shaped tooth appliance comprises a shell-shaped tooth appliance and a mounting table convexly arranged on the outer surface of the shell-shaped tooth appliance, wherein a mounting surface matched with the traction device is arranged on the mounting table, and the mounting surface and a dental arch curve tangent plane correspondingly accommodating teeth are arranged in an angle manner; when the dental appliance is worn in the mouth for traction, the axis of the traction device generates three-dimensional angle compensation, so that the torsion force generated by the interaction of the traction device and the mounting table on the shell-shaped dental appliance is reduced.
Further, one side of the mounting table, which is far away from the tooth, is arranged at an angle to a tangent plane of the corresponding buccolingual outermost point of the tooth.
Further, the mounting surface and the corresponding tangent plane of the outermost point of the buccolingual direction of the teeth form an angle of 1-30 degrees.
Further, the three-dimensional angle compensation is the three-dimensional angle compensation of the traction device under a three-dimensional space coordinate system of the dental instrument.
Further, the three-dimensional space coordinate system of the dental instrument comprises an X axis along the tangential direction of the center point of the tooth, a Y axis perpendicular to the X axis on the jaw plane and a Z axis along the long axis direction of the tooth.
Further, the mounting surface is a plane or a curved surface which is basically consistent with the radian of the tooth surface.
Further, when the mounting surface is a plane, the axis of the traction device is basically perpendicular to the surface, far away from the teeth, of the mounting table.
Further, when the installation surface is a curved surface, the axis of the traction device is basically vertical to the tangent plane of the highest point of the curved surface.
Further, the three-dimensional angle compensation is provided by the traction direction of the traction means.
Furthermore, the mounting table comprises a mounting table proximal surface and a mounting table distal surface, and the mounting table proximal surface and the mounting table distal surface are convexly arranged on the outer surface of the shell-shaped tooth appliance at different heights.
Further, when the traction device generates traction force towards the mesial direction, the height of the mounting table, which is convexly arranged on the outer surface of the shell-shaped dental appliance, of the mesial surface is smaller than the height of the mounting table, which is convexly arranged on the outer surface of the shell-shaped dental appliance, of the distal surface; when the traction device generates traction force in the far direction, the height of the far surface of the mounting platform, which is convexly arranged on the outer surface of the shell-shaped dental appliance, is smaller than the height of the near surface of the mounting platform, which is convexly arranged on the outer surface of the shell-shaped dental appliance.
Furthermore, a through hole for the traction device to pass through is further formed in the mounting surface of the mounting table, and the traction device passes through the through hole and is fixed with the mounting table.
Furthermore, the traction device comprises a fixing part and a traction part, the fixing part is accommodated in the mounting table, and the traction part is arranged on the outer surface of the mounting table.
Further, the mounting surface of the mounting table and the traction device are fixedly connected through welding, bonding and riveting.
Further, selecting a central point of the single tooth model;
projecting to the target dental arch curve according to the central point of the single tooth model to obtain a corresponding projection point of the single tooth model;
establishing a normal direction perpendicular to a tangent plane of the surface of the corresponding single tooth model according to the corresponding projection point, setting the height of the normal direction protrusion, and establishing a reference point of the mounting table and the long axis direction of the mounting table;
designing the angle between the mounting surface and the arch curve tangent plane of the corresponding accommodating tooth;
and designing the complete structure of the mounting table.
Further, the height of the normal bulge is designed according to the partial thickness of the traction device.
Furthermore, the traction device comprises a fixing part and a traction part, the fixing part is accommodated in the mounting table, the traction part is arranged on the outer surface of the mounting table, and the design of the height of the normal bulge is set according to the thickness of the fixing part.
Further, the method for designing the target arch curve comprises the following steps:
determining a jaw plane coordinate system of the tooth digital model, wherein a y axis is designed to be a central line of the tooth digital model, and an x axis is an axis which is perpendicular to the y axis on a jaw plane;
inputting information of a triangular mesh of the digital tooth model;
calculating the average value of the triangular grid coordinates of each digital tooth model, and projecting the average value to a jaw plane coordinate system to obtain the coordinates (x) of the central points of a plurality of digital tooth models 1 ,y 1 ),…,(x n ,y n ) Wherein n is the number of a plurality of teeth;
and fitting the dental arch curve to obtain a target dental arch curve.
Furthermore, the method for fitting the dental arch curve is to perform least square fitting by using an algebraic equation of an ellipse, namely solving
Figure BDA0002954603270000051
The obtained elliptic equation is the dental arch curve Ax 2 +By 2 The target arch curve is one half of the constituent elliptical curve, where a denotes the longer half of the ellipse and B denotes the shorter half of the ellipse.
Further, the step of establishing a normal direction perpendicular to a tangent plane of the surface of the corresponding single tooth model according to the corresponding point and setting a height of a protrusion to the normal direction according to the thickness of the fixing portion includes selecting a reference point position of the mounting table and determining a long axis direction of the mounting table.
Further, the step of selecting the reference point position of the mounting table comprises the following steps:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure BDA0002954603270000061
Figure BDA0002954603270000062
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure BDA0002954603270000063
t obtained from the above solution 0 Obtaining the closest point
Figure BDA0002954603270000064
Namely the mounting table reference point.
Further, the mounting table reference point position determination further comprises reference mounting table shape, labial/buccal thickness of the tooth or diaphragm thickness factor determination.
Further, the step of selecting the mounting table in the long axis direction comprises the following steps:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure BDA0002954603270000065
Figure BDA0002954603270000066
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure BDA0002954603270000067
t obtained from the above solution 0 Obtaining the closest point
Figure BDA0002954603270000068
T obtained from the above solution 0 Finding out the external normal direction of the corresponding point on the dental arch curve
Figure BDA0002954603270000069
Obtaining the long axis direction of the mounting table.
Further, the determination of the direction of the long axis of the mounting table also comprises the determination of the shape of the mounting table and the tooth labial side/buccal side factors.
Further, the series of intermediate digital models corresponds to a series of intermediate shell-like dental appliances; the series of middle shell-shaped tooth appliances are all provided with mounting platforms, the angles of the mounting platforms can be adjusted in an appliance plan, and the positioning method of the mounting platforms comprises the following steps:
selecting a single target tooth model;
obtaining each step position of a single target tooth model according to steps in the orthodontic plan design, wherein the step positions can be expressed as a transfer matrix in a homogeneous coordinate system;
Figure BDA0002954603270000071
wherein R is 3×3 And t 3×1 Respectively representing a rotation matrix and a translation amount;
respectively calculating the position of the mounting table according to each step position of the single target tooth model, namely multiplying the transfer matrix by the coordinates of the cavity model in a homogeneous coordinate system;
Figure BDA0002954603270000072
wherein v is 3×1 Representing the coordinates of each vertex in the cavity model.
Further, the step of angling the mounting surface with the corresponding arch-curve cut surface of the receiving tooth includes:
estimating the additional correcting force of the mounting table and the traction device at each step position;
estimating a spatial coordinate value of an impedance center of a tooth bonded to the mounting stage;
projecting the mounting table reference point to one surface of a binding target tooth model on which the mounting table is arranged; the mounting table is arranged on the labial/buccal side surface or the lingual side surface of the target tooth;
calculating the pose change of the teeth according to the projection points, the impedance centers and the correction force;
and when the simulated tooth movement process is not matched with the correction plan, adjusting the angle of the long axis three-dimensional axis of the mounting table or the coordinate position of the reference point of the mounting table until the position change of the tooth model is calculated to be within the threshold range.
The invention also provides a design method of the traction device mounting table of the shell-shaped dental appliance, the traction device mounting table is applied to the shell-shaped dental appliance, the traction device is fixed on the traction device mounting table, and the mounting table design method comprises the following steps: selecting a central point of the single tooth model;
projecting the central point of the single tooth model to the target dental arch curve to obtain a corresponding projection point of the single tooth model;
establishing a normal direction perpendicular to a tangent plane of the surface of the corresponding single tooth model according to the corresponding projection point, setting the height of the normal direction protrusion, and establishing a reference point of the mounting table and the long axis direction of the mounting table;
designing the angle between the mounting surface and the arch curve tangent plane of the corresponding accommodating tooth;
and designing the complete structure of the mounting table.
Further, the height of the normal bulge is designed according to the partial thickness of the traction device.
Furthermore, the traction device comprises a fixing part and a traction part, the fixing part is accommodated in the mounting table, the traction part is arranged on the outer surface of the mounting table, and the design of the height of the normal bulge is set according to the thickness of the fixing part.
Further, the method for designing the target arch curve comprises the following steps:
determining a jaw plane coordinate system of the tooth digital model, wherein a y axis is designed to be a central line of the tooth digital model, and an x axis is an axis which is perpendicular to the y axis on a jaw plane;
inputting information of a triangular mesh of the digital tooth model;
calculating the average value of the triangular grid coordinates of each digital tooth model, and projecting the average value to a jaw plane coordinate system to obtain the coordinates (x) of the central points of a plurality of digital tooth models 1 ,y 1 ),…,(x n ,y n ) Wherein n is the number of a plurality of teeth;
and fitting the dental arch curve to obtain a target dental arch curve.
Furthermore, the method for fitting the dental arch curve is to perform least square fitting by using an algebraic equation of an ellipse, namely solving
Figure BDA0002954603270000091
The obtained elliptic equation is the dental arch curve Ax 2 +By 2 The target arch curve is one half of the constituent elliptical curve, where a denotes the longer half of the ellipse and B denotes the shorter half of the ellipse.
Further, the step of establishing a normal direction perpendicular to a tangent plane of the surface of the corresponding single tooth model according to the corresponding point and setting a height of a protrusion to the normal direction according to the thickness of the fixing portion includes selecting a reference point position of the mounting table and determining a long axis direction of the mounting table.
Further, the step of selecting the reference point position of the mounting table comprises the following steps:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure BDA0002954603270000092
Figure BDA0002954603270000093
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure BDA0002954603270000094
t obtained from the above solution 0 Obtaining the closest point
Figure BDA0002954603270000095
Namely the mounting table reference point.
Further, the mounting table reference point position determination further comprises reference mounting table shape, labial/buccal thickness of the tooth or diaphragm thickness factor determination.
Further, the step of selecting the mounting table in the long axis direction comprises the following steps:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure BDA0002954603270000096
Figure BDA0002954603270000097
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure BDA0002954603270000098
t obtained from the above solution 0 Obtaining the closest point
Figure BDA0002954603270000101
T obtained from the above solution 0 Finding out the external normal direction of the corresponding point on the dental arch curve
Figure BDA0002954603270000102
Obtaining the long axis direction of the mounting table.
Further, the determination of the direction of the long axis of the mounting table also comprises the determination of the shape of the mounting table and the tooth labial side/buccal side factors.
Further, the series of intermediate digital models of the jaw correspond to a series of intermediate shell-like dental appliances; the series of middle shell-shaped tooth appliances are all provided with mounting platforms, the angles of the mounting platforms can be adjusted in an appliance plan, and the positioning method of the mounting platforms comprises the following steps:
selecting a single target tooth model;
obtaining each step position of a single target tooth model according to steps in the orthodontic plan design, wherein the step positions can be expressed as a transfer matrix in a homogeneous coordinate system;
Figure BDA0002954603270000103
wherein R is 3×3 And t 3×1 Respectively representing a rotation matrix and a translation amount;
respectively calculating the position of the mounting table according to each step position of the single target tooth model, namely multiplying the transfer matrix by the coordinates of the cavity model in a homogeneous coordinate system;
Figure BDA0002954603270000104
wherein v is 3×1 Representing the coordinates of each vertex in the cavity model.
Further, the step of angling the mounting surface with the corresponding arch-curve cut surface of the receiving tooth includes:
estimating the additional correcting force of the mounting table and the traction device at each step position;
estimating a spatial coordinate value of an impedance center of a tooth bonded to the mounting stage;
projecting the mounting table datum point to one surface, provided with the mounting table, of a binding target tooth model; the mounting table is arranged on the labial/buccal side surface or the lingual side surface of the target tooth;
calculating the pose change of the teeth according to the projection points, the impedance centers and the correction force;
and when the simulated tooth movement process is not matched with the correction plan, adjusting the angle of the long axis three-dimensional axis of the mounting table or the coordinate position of the reference point of the mounting table until the position change of the tooth model is calculated to be within the threshold range.
Compared with the prior art, the invention has the beneficial effects that at least:
the dental appliance provided by the invention comprises the shell-shaped tooth appliance and the traction device, wherein the shell-shaped tooth appliance is a cavity for accommodating a plurality of teeth and can have an appliance effect on the teeth, so that the teeth are gradually changed to a target appliance position from an initial position. In addition, the outer surface of the shell-shaped tooth appliance is also convexly provided with an installation platform, an installation surface matched with the traction device is arranged on the installation platform, and the installation surface and the dental arch curve section correspondingly accommodating the teeth are arranged in an angle; when the dental appliance is worn in the mouth for traction, the axis of the traction device generates three-dimensional angle compensation, so that the torsional force generated by the interaction of the traction device and the mounting table on the shell-shaped tooth appliance is reduced. When pulling, draw device's traction direction can carry out angle compensation for the dental appliance atress is more coincided with the plan of correcting when pulling to correct, improves and corrects the precision.
According to the design method of the dental appliance, the individual design is carried out on the real tooth model of the patient, the angle compensation is carried out on the designed mounting table at the three-dimensional angle, the traction is more accurate when traction correction is carried out, the traction is more consistent with the correction plan, and the correction efficiency is improved.
The invention also provides a design method of the traction device mounting table of the shell-shaped tooth appliance, the design method can be used for pertinently carrying out the mounting table matched with the traction angle of the traction device on the shell-shaped tooth appliance, and the designed mounting table can be applied to a dental instrument, so that the traction device generates three-dimensional angle compensation when being matched with the shell-shaped tooth appliance for traction operation, the traction is more accurate when being carried out, the traction is more consistent with an orthodontic plan, and the orthodontic efficiency is improved.
Drawings
FIG. 1 is a schematic view of a dental instrument according to an embodiment of the present invention.
FIG. 2 is a cross-sectional view A-A' of one embodiment of FIG. 1.
Fig. 3 is a schematic view of the usage state of fig. 2.
Fig. 4 is a cross-sectional view a-a' of another embodiment of fig. 1.
Fig. 5 is a schematic view of the usage state of fig. 4.
Fig. 6 is a schematic structural view of the traction device 20.
FIG. 7 is a schematic representation of another dental implement in accordance with an embodiment of the present invention.
FIG. 8 is a cross-sectional view B-B' of one embodiment of FIG. 7.
Fig. 9 is a schematic view of the use state of fig. 8.
Fig. 10 is a cross-sectional view B-B' of the alternate embodiment of fig. 7.
Fig. 11 is a schematic view of the use state of fig. 10.
FIG. 12 is a flow chart of a method of designing a dental implement.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings of the present invention, and it is obvious that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention. Unless defined otherwise, technical or scientific terms used herein shall have the ordinary meaning as understood by one of ordinary skill in the art to which this invention belongs. As used herein, the word "comprising" and similar words are intended to mean that the element or item listed before the word covers the element or item listed after the word and its equivalents, but does not exclude other elements or items.
When the invisible tooth appliance is matched with the shell-shaped tooth appliance (which is the same product as the shell-shaped tooth appliance) for orthodontic correction, auxiliary correction devices such as accessories, tongue side buckles and the like are usually used, the auxiliary correction devices are usually installed on teeth in a mode of being matched with the invisible tooth appliance at present, and grooves are formed on the corresponding invisible tooth appliance to avoid the auxiliary correction devices; the stealthy tooth is rescued and is set up and supplementary fitting part of correcting the device complex in addition for supplementary device of correcting can be installed in the outer surface of stealthy tooth and is rescued the ware or pass fitting part and stealthy tooth and correct the ware cooperation, and above-mentioned two kinds of modes all have certain limitation, if because individuation difference, everybody's the intraoral condition is different, adopts same kind of mode and installation angle, is carrying out the individuation and corrects the in-process and receive the design limitation, if pull the adjustment of angle. The dental appliance provided by the invention can perform angle compensation according to the traction direction of the traction device, so that the stress of the dental appliance is more consistent with the correction plan when the dental appliance performs traction correction, and the correction accuracy is improved.
Examples
A dental appliance 1 comprises a shell-shaped dental appliance 10 and a traction device 20, as shown in fig. 1-5, wherein the shell-shaped dental appliance 10 is a cavity for accommodating a plurality of teeth, the outer surface of the shell-shaped dental appliance 10 is also convexly provided with an installation platform 11, the installation platform 11 is provided with an installation surface 111 matched with the traction device 20, and the installation surface 111 and a dental arch curve tangent plane corresponding to the accommodated teeth are arranged in an angle; when the dental appliance 1 is worn in the mouth for traction, the axis of the traction device 20 is angularly offset in three dimensions, so that the torsional force generated by the interaction of the traction device 20 with the mounting platform 11 on the shell-shaped dental appliance 10 is reduced. Dental appliance 1 can carry out angle compensation according to draw device 20's direction of pulling for dental appliance 1 atress and the plan of correcting is more coincided when correcting in pulling, improves and corrects the precision. In one particular embodiment, the mounting surface 111 is disposed at an angle α to a tangent plane of the corresponding tooth 30, where α is 1-30 °. The tangential plane of the tooth 30 is a tangential plane of the outermost point in the labial/buccal direction or lingual direction, and in another embodiment, the central point of the mounting surface 111 may be mapped to the tangential plane of the corresponding tooth 30 point.
In one embodiment, the three-dimensional angular compensation is a three-dimensional angular compensation of the traction device 20 in a three-dimensional spatial coordinate system of the dental implement 1. The three-dimensional space coordinate system comprises an X axis along the tangential direction of the center point of the tooth, a Y axis vertical to the X axis on the jaw plane and a Z axis along the long axis direction of the tooth. Because the mounting table is of a three-dimensional space structure, the mounting table has a convex three-dimensional shape in a three-dimensional space coordinate system compared with a tangent plane corresponding to the teeth 30, the three-dimensional shape can deviate from the axis of the traction device 20 on different corresponding surfaces in the three-dimensional space coordinate system, the three-dimensional surfaces can deviate, one surface of the three-dimensional surfaces can deviate, and the adjustment and the setting are specifically carried out according to the actual traction angle.
In one embodiment, the mounting surface 111 is a flat surface or a curved surface that substantially conforms to the curvature of the tooth surface. When the mounting surface 111 is flat, the axis L of the traction device 20 is substantially perpendicular to the side of the mounting platform 11 away from the teeth. As shown in fig. 3, when a traction connecting member, such as a traction elastic member, is hooked on the traction device 20, the traction direction is the same as the direction of the mounting surface 111, and the axis L of the traction device 20 is substantially perpendicular to the mounting surface 111, so that the traction force is maximized during traction, and the traction force is not dispersed due to the angular deviation; the axis L of the pulling device 20 is substantially perpendicular to the side of the mounting block 11 remote from the teeth, and in one embodiment is at an angle of 80-100. When the mounting surface 111 is curved, the axis L of the towing attachment 20 is substantially perpendicular to the tangent plane of the highest point of the curved surface. When the mounting surface 111 is a curved surface, the surface of the highest point tangent plane of the curved surface is substantially perpendicular to the axis L of the traction device 20, so that the traction force is the largest during traction, and the traction force is not dispersed due to the angle deviation; in one embodiment, the angle between the two is 80 ° to 100 °.
In one embodiment, the three-dimensional angle compensation is provided by the traction direction of the traction means. When the traction device is used for traction correction in the oral cavity, the traction device can be used for drawing the jaw inwards, namely, the traction effect is generated between two teeth/alveolar bones in the upper/lower jaw single jaw; or intermaxillary traction, namely traction is generated between two teeth/alveolar bones in the upper jaw and the lower jaw; or extramaxillary distraction, i.e. the distraction between the extramaxillary and the maxillary teeth/alveolar bone. Above-mentioned whatever kind of traction mode, all probably produce the adjustment of pulling the angle when pulling, namely, traction device's traction force direction is unlikely to be parallel with the tangent plane that corresponds the tooth surface peak, can produce the angular deviation, and three-dimensional angular compensation carries out the angular compensation with this angular deviation, make the torsion force that the mount table interact produced on traction device and the shell form tooth correction ware reduces, can not produce the clearance because of the shell form tooth correction ware that leads to in the inaccurate direction of traction force in the traction process and the tooth, lead to the shell form tooth correction ware to reduce the parcel nature of tooth, and the influence is rescued the effect.
In one embodiment, as shown in FIGS. 2-5, the mounting plate 11 includes a mounting plate proximal surface 112 and a mounting plate distal surface 113, the mounting plate proximal surface 112 and the mounting plate distal surface 113 protruding from the outer surface of the shell-shaped dental appliance at different heights. In one embodiment, when the traction device 20 is exerting traction force in the mesial direction, the height of the mounting platform mesial surface 112 protruding from the outer surface of the shell-shaped dental appliance 10 is less than the height of the mounting platform distal surface 113 protruding from the outer surface of the shell-shaped dental appliance 10; when the traction device 20 generates traction in the distal direction, the height of the distal abutment surface 113 protruding from the outer surface of the shell-shaped dental appliance 10 is less than the height of the proximal abutment surface 112 protruding from the outer surface of the shell-shaped dental appliance 10. The inclination of the mounting surface 111 in both of the above-described ways is related to the traction force generated by the traction device 20.
In one embodiment, as shown in fig. 4 and 5, a through hole 1111 is further provided on the mounting surface 111 of the mounting table 11 for the traction device 20 to pass through, and the traction device 20 passes through the through hole 1111 and is fixed to the mounting table 11. The arrangement mode enables the traction device 20 to be fixed with the mounting table 11 more tightly, wherein the traction device 20 can be of an integral structure or a split structure, when the traction device 20 is of the split structure, one part of the traction device penetrates through the mounting table 11 and then is fixedly connected with the other part, and therefore the fixed connection with the mounting table 11 is achieved; when the traction device 20 is an integrated structure, the traction device is engaged with the through hole 1111 of the mounting platform 11 so as to be fixedly connected with the mounting platform 11. In a more specific embodiment, as shown in fig. 5 and 6, the traction device 20 comprises a fixing portion 21 and a traction portion 22, the fixing portion 21 being housed in the mounting table 11, and the traction portion 22 being provided on the outer surface of the mounting table 11. At this time, a part of the traction device 20 is arranged in the mounting table 11, so that the overall traction device 20 is convexly arranged on the outer surface of the shell-shaped dental appliance 10, and the external foreign body sensation in the mouth is relatively short, and the patient can wear the appliance more comfortably.
In one embodiment, as shown in fig. 2 and 3, the mounting surface 111 of the mounting base 11 is fixedly connected to the traction device 20 by welding, bonding, or riveting. Another fixing method of the mounting table 11 and the traction device 20 is that the mounting surface 111 provided on the mounting table 11 is fixedly connected to the bottom surface of the traction device 20, for example, by welding, bonding, riveting, or the like. The installation mode enables the traction device 20 and the installation platform 11 to be fixed more tightly, and the phenomenon of mistaken phagocytosis is not easy to fall off.
Another dental appliance 3, as shown in fig. 7-11, comprises a shell-shaped dental appliance 30 and a traction device 40, wherein the shell-shaped dental appliance 30 is a cavity for accommodating a plurality of teeth, an installation platform 31 is further convexly arranged on the outer surface of the shell-shaped dental appliance 30, an installation surface 311 matched with the traction device 40 is arranged on the installation platform 31, the installation surface 311 and a dental arch curve tangent plane correspondingly accommodating the teeth are arranged at an angle β, wherein β can be 1-30 °; when the dental appliance 3 is worn in the mouth for traction, the axis of the traction device 40 is angularly offset in three dimensions, so that the torsional force generated by the interaction of the traction device 40 with the mounting plate 31 on the shell-shaped dental appliance 30 is reduced. Dental appliance 3 can carry out angle compensation according to draw device 40's direction of pulling for dental appliance 3 atress when carrying out the traction and correcting is more coincided with the plan of correcting, improves and corrects the precision. In another embodiment, as shown in fig. 7-11, in the dental appliance 3, when the traction device 40 generates traction force in the maxillofacial direction, the height of the mounting maxillofacial surface 312 protruding from the outer surface of the shell appliance 30 is less than the height of the mounting gingival margin surface 313 protruding from the outer surface of the shell appliance 10; when the traction device 40 generates traction force in the gingival direction, the height of the mounting maxillofacial surface 312 protruding from the outer surface of the shell-shaped dental appliance 30 is smaller than the height of the mounting gingival margin surface 313 protruding from the outer surface of the shell-shaped dental appliance 30. In one embodiment, a through hole 3111 is further provided on the mounting surface 311 of the mounting table 31 for passing the towing device 40, and the towing device 40 passes through the through hole 3111 and is fixed to the mounting table 31. The arrangement mode enables the traction device 40 to be fixed with the mounting table 31 more tightly, wherein the traction device 40 can be of an integral structure or a split structure, when the traction device 40 is of the split structure, one part of the traction device 40 penetrates through the mounting table 31 and then is fixedly connected with the other part, and therefore the fixed connection with the mounting table 31 is achieved; when the pulling device 40 is an integral structure, the pulling device is engaged with the through hole 3111 of the mounting table 31 to be fixedly connected with the mounting table 31.
In one embodiment, as shown in fig. 8 and 9, the mounting surface 311 of the mounting table 31 is fixedly connected to the towing device 40 by welding, bonding, or riveting. Another fixing method of the mounting table 31 and the traction device 40 is that the mounting surface 311 provided on the mounting table 31 is fixedly connected to the bottom surface of the traction device 40, for example, by welding, bonding, riveting, or the like. The installation mode enables the traction device 40 and the installation table 31 to be fixed more tightly, and the phenomenon of mistaken phagocytosis is not easy to fall off.
The present embodiment also provides a method of designing a dental instrument, as shown in fig. 12, including:
step S11: acquiring an initial dental digital model, wherein the initial dental model comprises a tooth digital model; the tooth digital model can be a tooth digital model of the upper/lower jaw, and the tooth digital model can be obtained through initial tooth digital model information or intermediate tooth digital model information in the treatment process. The initial dental digital model information or the intermediate dental digital model information may be obtained by intraoral scanning, or obtained by scanning a dental model of a user, and the initial dental state information may specifically include: tooth shape, gum position, etc., and may also include root information obtained from CBCT data (Cone beam CT, also known as Cone beam CT). The tooth shape further includes the shapes of the labial surface, the lingual surface, the occlusal surface and the like of the tooth, and further includes the cusp, the crest, the pit, the sulcus and the like of the tooth.
Step S12: carrying out segmentation processing on the tooth digital model to obtain a single complete tooth digital model; the segmentation method may be any one of the existing methods, for example, the following steps are adopted:
s121: selecting a first class of characteristic points on a digital dentition model to be segmented, wherein the digital dentition model is a triangular patch model.
S122: and classifying the second class of feature points in the digital dentition model according to the first class of feature points, and determining the tooth to which each second class of feature point belongs.
S123: respectively merging the second type of characteristic points belonging to each tooth to obtain a digital tooth area of each single tooth after the digital dentition model is segmented;
the first type of characteristic points are triangular patch vertexes which are selected based on a digital dentition model and used for guiding the segmentation of each single tooth in the dentition, and the second type of characteristic points are triangular patch vertexes which are selected based on the digital dentition model and used for representing the whole shape of the digital dentition model; that is, the first type of feature points is used to guide the segmentation of the dentition, and the second type of feature points is the feature points when the dentition is specifically segmented; through the segmentation guidance of the first class of feature points, the second class of feature points can be accurately classified to each tooth, so that the segmentation precision of dentition is improved;
the first type of feature points are selected on the whole digital dentition model, then the second type of feature points on the digital dentition model are classified and collected according to the first type of feature points, and the segmentation of the single tooth is realized.
Step S13: designing a target correcting position of the target tooth digital model, wherein the target correcting position comprises a specific target position of the single tooth digital model and a target dental arch curve after target teeth are aligned; the target correcting position can be determined according to the correcting target position determined by a clinician and a patient, and after each target correcting position of a single jaw is determined, the target dental arch curve of the aligned target teeth can be obtained.
In one specific embodiment, the method for designing the target arch curve comprises the following steps:
step S131: determining a jaw plane coordinate system of the tooth digital model, wherein a y axis is designed to be a central line of the tooth digital model, and an x axis is an axis which is perpendicular to the y axis on a jaw plane; so that the digital model of the tooth is placed in the jaw plane coordinate system.
Step S132: inputting information of a triangular mesh of the digital tooth model; the digital tooth model is a triangular mesh consisting of a plurality of triangular surface patches, and the obtained digital tooth model is converted into the triangular mesh and is placed in a jaw plane coordinate system.
Step S133: calculating the average value of the triangular grid coordinates of each digital tooth model, and projecting the average value to a jaw plane coordinate system to obtain the coordinates (x) of the central points of a plurality of digital tooth models 1 ,y 1 ),…,(x n ,y n ) Wherein n is the number of a plurality of teeth;
step S134: and fitting the dental arch curve to obtain a target dental arch curve. The specific method for fitting dental arch curve is to use an algebraic equation of ellipse to carry out least square fitting, i.e. to solve
Figure BDA0002954603270000181
The obtained elliptic equation is the dental arch curve Ax 2 +By 2 The target arch curve is one half of the constituent elliptical curve, where a denotes the longer half of the ellipse, B denotes the shorter half of the ellipse, and i denotes the ith tooth.
Step S14: designing a dental appliance according to a tooth correcting plan; the dental appliance comprises a shell-shaped dental appliance and a traction device; the correcting plan comprises the position of a digital model of a traction device, the digital model of the traction device interacts with a corresponding shell-shaped tooth correcting device model, traction force is generated when oral/extraoral traction is carried out, the simulated teeth move to a target position, the relative position of the initial dental digital model is gradually changed to the relative position of the target dental digital model, and a series of middle dental digital models are generated; designing a corresponding shell-shaped tooth appliance according to a series of middle dental digital models in an appliance plan; the single shell-shaped tooth appliance comprises a shell-shaped tooth appliance and a mounting table convexly arranged on the outer surface of the shell-shaped tooth appliance, wherein a mounting surface matched with the traction device is arranged on the mounting table, and the mounting surface and a dental arch curve tangent plane correspondingly accommodating teeth are arranged in an angle manner; when the dental appliance is worn in the mouth for traction, the axis of the traction device generates three-dimensional angle compensation, so that the torsional force generated by the interaction of the traction device and the mounting table on the shell-shaped dental appliance is reduced. More specifically, the dental appliance can carry out angle compensation according to the traction direction of the traction device, so that the stress of the dental appliance is more consistent with the correction plan when traction correction is carried out, and the correction accuracy is improved.
In one embodiment, the method for installing the platform comprises the following steps:
s141: selecting a central point of the single tooth model; wherein, the central point is the central point of single tooth, and single jaw tooth includes many teeth, and consequently the central point that many teeth correspond has a plurality ofly.
S142: projecting to a target dental arch curve according to the central point of the single tooth model to obtain a corresponding projection point of the single tooth model; since the center point of the single tooth model is set by projection based on the target arch curve determined in the above-described step, a plurality of projection points corresponding to the number of teeth are provided on the target arch curve.
S143: establishing a normal direction perpendicular to a tangent plane of the outermost point on the surface of the corresponding single tooth model according to the corresponding projection point, setting the height of a protrusion towards the normal direction, and establishing a reference point of the mounting table and the long axis direction of the mounting table; in one of them embodiment, can set up the bellied height to normal direction according to draw gear's partial thickness, including fixed part and traction portion if draw gear, can set up the bellied height to normal direction according to the thickness of fixed part to make the mount table can hold draw gear's fixed part, make shell form tooth appliance and tooth face more laminate when wearing, reduce the production in gap, improve shell form tooth appliance's parcel rate, thereby improve and correct efficiency.
The method comprises the following steps of selecting a datum point position of an installation table and determining the long axis direction of the installation table, wherein the method specifically comprises the following steps:
s1431: specifying a point (a, b) on the jaw plane;
s1432: parameterizing the dental arch curve obtained by the method to obtain
Figure BDA0002954603270000201
Wherein t is a parameter of arch position;
s1433: finding the point on the dental arch curve closest to the specified point, namely solving:
Figure BDA0002954603270000202
s1434: t obtained from the above solution 0 Obtaining the closest point
Figure BDA0002954603270000203
Namely the mounting table reference point.
S1435: the mounting table datum point position determination further comprises reference mounting table shape, labial/buccal thickness of the tooth or diaphragm thickness factor determination.
S1436: t obtained from the above solution 0 Finding out the external normal direction of the corresponding point on the dental arch curve
Figure BDA0002954603270000204
Namely the direction of the long axis of the mounting table;
s1437: the determination of the direction of the long axis of the mounting table also includes the shape of the mounting table, and the tooth labial/buccal factor determination.
S144: designing the angle between the mounting surface and the arch curve tangent plane corresponding to the accommodating teeth; when the traction device is used in the oral cavity for traction correction, the traction device can be used for intraoral traction, namely traction is generated between two teeth/alveolar bones in an upper/lower jaw single jaw; or inter-jaw traction, namely traction is generated between two teeth/alveolar bones in the upper jaw and the lower jaw; or extramandibular distraction, i.e. a distraction between the extramandibular and the intramandibular teeth/alveolar bone. Above-mentioned whatever kind of traction mode, all probably produce the adjustment of pulling the angle when pulling, namely, traction device's traction force direction is unlikely to be parallel with the tangent plane that corresponds the tooth surface peak, can produce the angular deviation, and three-dimensional angular compensation carries out the angular compensation with this angular deviation, make the torsion force that the mount table interact produced on traction device and the shell form tooth correction ware reduces, can not produce the clearance because of the shell form tooth correction ware that leads to in the inaccurate direction of traction force in the traction process and the tooth, lead to the shell form tooth correction ware to reduce the parcel nature of tooth, and the influence is rescued the effect. More specifically, the angle of the mounting surface to the corresponding arch curve section that receives the teeth is individually designed according to the actual traction requirements.
In one embodiment, the additional corrective force of the mounting plate and the traction device is estimated at each stepped position;
estimating a spatial coordinate value of an impedance center of a tooth bound to the mounting table;
projecting the mounting table datum point to one surface of the binding target tooth model, which is provided with the mounting table; the mounting table is arranged on the labial/buccal side surface or the lingual side surface of the target tooth;
calculating the pose change of the teeth according to the projection points, the impedance centers and the correction force;
and when the simulated tooth movement process is not matched with the correction plan, adjusting the angle of the long axis three-dimensional axis of the mounting table or the coordinate position of the reference point of the mounting table until the position change of the calculated tooth digital model is within the threshold range.
S145: and designing a complete structure of the mounting table. The mount table is complete three-dimensional spatial structure, and its protruding surface of locating shell form tooth correction ware, and after the installation face was confirmed, all the other are connected the face with shell form tooth correction ware and are connected with the smooth transition of installation face, and the mount table that finally obtains is less at intraoral foreign body sensation, and the patient wears more comfortablely.
The dental instrument designed by the above design method can realize the specific structure in the above specific implementation of the dental instrument, wherein the specific structure of the dental instrument is described in detail in the above description, and is not described herein again.
A design method of a traction device mounting table of a shell-shaped tooth appliance is provided, the traction device mounting table is applied to the shell-shaped tooth appliance, and a traction device is fixed on the traction device mounting table, and the mounting table design method comprises the following steps:
s241: selecting a central point of the single tooth model; wherein, the central point is the central point of single tooth, and single jaw tooth includes many teeth, and consequently the central point that many teeth correspond has a plurality ofly.
S242: projecting to a target dental arch curve according to the central point of the single tooth model to obtain a corresponding projection point of the single tooth model; since the center point of the single tooth model is set by projection based on the target arch curve determined in the above-described step, a plurality of projection points corresponding to the number of teeth are provided on the target arch curve.
S243: establishing a normal direction perpendicular to a tangent plane of the outermost point on the surface of the corresponding single tooth model according to the corresponding projection point, setting the height of a protrusion towards the normal direction, and establishing a reference point of the mounting table and the long axis direction of the mounting table; in one of them embodiment, can set up the bellied height to normal direction according to draw gear's partial thickness, including fixed part and traction portion if draw gear, can set up the bellied height to normal direction according to the thickness of fixed part to make the mount table can hold draw gear's fixed part, make shell form tooth appliance and tooth face more laminate when wearing, reduce the production in gap, improve shell form tooth appliance's parcel rate, thereby improve and correct efficiency.
The method comprises the following steps of selecting a reference point position of the mounting table and determining the long axis direction of the mounting table, wherein the specific steps comprise:
s2431: specifying a point (a, b) on the jaw plane;
s2432: parameterizing the dental arch curve obtained by the method to obtain
Figure BDA0002954603270000221
Wherein t is the position of the dental archA parameter;
s2433: finding the point on the dental arch curve closest to the specified point, namely solving:
Figure BDA0002954603270000222
s2434: t obtained from the above solution 0 Obtaining the closest point
Figure BDA0002954603270000223
Namely the mounting table reference point.
S2435: the mounting table datum point position determination further comprises reference mounting table shape, labial/buccal thickness of the tooth or diaphragm thickness factor determination.
S2436: t obtained from the above solution 0 Finding out the external normal of the corresponding point on the dental arch curve
Figure BDA0002954603270000224
Namely the direction of the long axis of the mounting table;
s2437: the determination of the direction of the long axis of the mounting table also includes the shape of the mounting table, and the tooth labial/buccal factors.
S244: designing the angle between the mounting surface and the arch curve tangent plane corresponding to the accommodating teeth; when the traction device is used for traction correction in the oral cavity, the traction device can be used for drawing the jaw inwards, namely, the traction effect is generated between two teeth/alveolar bones in the upper/lower jaw single jaw; or inter-jaw traction, namely traction is generated between two teeth/alveolar bones in the upper jaw and the lower jaw; or extramandibular distraction, i.e. a distraction between the extramandibular and the intramandibular teeth/alveolar bone. Above-mentioned whatever kind of traction mode, all probably produce the adjustment of pulling the angle when pulling, namely, traction device's traction force direction is unlikely to be parallel with the tangent plane that corresponds the tooth surface peak, can produce the angular deviation, and three-dimensional angular compensation carries out the angular compensation with this angular deviation, make the torsion force that the mount table interact produced on traction device and the shell form tooth correction ware reduces, can not produce the clearance because of the shell form tooth correction ware that leads to in the inaccurate direction of traction force in the traction process and the tooth, lead to the shell form tooth correction ware to reduce the parcel nature of tooth, and the influence is rescued the effect. More specifically, the angle of the mounting surface to the corresponding arch curve section that receives the teeth is individually designed according to the actual traction requirements.
In one embodiment, the additional corrective force of the mounting plate and the traction device is estimated at each stepped position;
estimating a spatial coordinate value of an impedance center of a tooth bound to the mounting table;
projecting the mounting table datum point to one surface of the binding target tooth model, which is provided with the mounting table; the mounting table is arranged on the labial/buccal side surface or the lingual side surface of the target tooth;
calculating the pose change of the teeth according to the projection points, the impedance centers and the correction force;
and when the simulated tooth movement process is not matched with the correction plan, adjusting the angle of the long axis three-dimensional axis of the mounting table or the coordinate position of the reference point of the mounting table until the position change of the calculated tooth digital model is within the threshold range.
S245: and designing a complete structure of the mounting table. The mount table is complete three-dimensional spatial structure, and its protruding surface of locating shell form tooth correction ware, and after the installation face was confirmed, all the other are connected the face with shell form tooth correction ware and are connected with the smooth transition of installation face, and the mount table that finally obtains is less at intraoral foreign body sensation, and the patient wears more comfortablely.
The mounting table can be applied to the shell-shaped tooth appliance after being designed and used in cooperation with the traction device, and the specific application mode is described in the design method of the dental appliance and is not described again.
While specific embodiments of the invention have been described above, it will be appreciated by those skilled in the art that this is by way of example only, and that the scope of the invention is defined by the appended claims. Various changes and modifications to these embodiments may be made by those skilled in the art without departing from the spirit and scope of the invention, and these changes and modifications are within the scope of the invention.

Claims (51)

1. A dental appliance comprises a shell-shaped tooth appliance and a traction device, wherein the shell-shaped tooth appliance is a cavity for accommodating a plurality of teeth, and is characterized in that the outer surface of the shell-shaped tooth appliance is also convexly provided with an installation platform, an installation surface matched with the traction device is arranged on the installation platform, and the installation surface and a dental arch curve tangent plane correspondingly accommodating the teeth are arranged in an angle manner; when the dental appliance is worn in the mouth for traction, the axis of the traction device generates three-dimensional angle compensation, so that the torsion force generated by the interaction of the traction device and the mounting table on the shell-shaped dental appliance is reduced.
2. A dental device according to claim 1, wherein the mounting surface is disposed at an angle of 1-30 ° to a corresponding plane of tangency of the bucco-lingual outermost points of the teeth.
3. The dental instrument of claim 1, wherein the three-dimensional angular compensation is a three-dimensional angular compensation of the distraction device in a three-dimensional spatial coordinate system of the dental instrument.
4. A dental instrument as claimed in claim 3, wherein the three-dimensional coordinate system of the dental instrument includes an X-axis along a tangential direction to a center point of the tooth, a Y-axis perpendicular to the X-axis in the jaw plane, and a Z-axis along a long axis of the tooth.
5. A dental instrument as in claim 1, wherein the mounting surface is planar or curved to substantially conform to the curvature of a tooth surface.
6. A dental instrument according to claim 5, wherein the axis of the pulling device is substantially perpendicular to the face of the mounting table remote from the teeth when the mounting surface is planar.
7. A dental instrument according to claim 5, wherein when the mounting surface is curved, the axis of the traction means is substantially perpendicular to a tangent plane to the highest point of the curved surface.
8. Dental instrument according to claim 3, wherein the three-dimensional angular compensation is provided by the direction of the traction force of the traction means.
9. A dental instrument as claimed in claim 1, wherein the mounting block includes a mounting block mesial surface and a mounting block distal surface, the mounting block mesial surface and the mounting block distal surface protruding from the shell-shaped dental appliance outer surface at different heights.
10. A dental instrument as in claim 9, wherein the height of the mounting plate proximal surface protruding from the shell-shaped dental appliance outer surface is less than the height of the mounting plate distal surface protruding from the shell-shaped dental appliance outer surface when the traction device is generating traction in the mesial direction; when the traction device generates traction force in the far direction, the height of the far surface of the mounting platform, which is convexly arranged on the outer surface of the shell-shaped dental appliance, is smaller than the height of the near surface of the mounting platform, which is convexly arranged on the outer surface of the shell-shaped dental appliance.
11. A dental instrument as in claim 1, wherein said mounting surface of said mounting table is further provided with a through hole for said pulling device to pass through, said pulling device passing through said through hole and being secured to said mounting table.
12. A dental instrument as in claim 10, wherein the traction device includes a fixed portion received within the mounting block and a traction portion provided on an outer surface of the mounting block.
13. Dental instrument according to claim 1, wherein the mounting surface of the mounting table and the traction means are fixedly connected by welding, gluing, riveting.
14. A method of designing a dental instrument, comprising:
acquiring an initial dental digital model, wherein the initial dental model comprises a tooth digital model;
carrying out segmentation processing on the tooth digital model to obtain a single complete tooth digital model;
designing a target correcting position of the target tooth digital model, wherein the target correcting position comprises a specific target position of the single tooth digital model and a target dental arch curve after target teeth are aligned;
designing a dental appliance according to a tooth correcting plan; the dental appliance comprises a shell-shaped dental appliance and a traction device; the correcting plan comprises the position of a digital model of a traction device, the digital model of the traction device interacts with a corresponding shell-shaped tooth correcting device model, traction force is generated when oral/extraoral traction is carried out, the simulated teeth move to a target position, the relative position of the initial dental digital model is gradually changed to the relative position of the target dental digital model, and a series of middle dental digital models are generated; designing a corresponding shell-shaped tooth appliance according to a series of middle dental digital models in the appliance plan; the single shell-shaped tooth appliance comprises a shell-shaped tooth appliance and a mounting table convexly arranged on the outer surface of the shell-shaped tooth appliance, wherein a mounting surface matched with the traction device is arranged on the mounting table, and the mounting surface and a dental arch curve tangent plane correspondingly accommodating teeth are arranged in an angle manner; when the dental appliance is worn in the mouth for traction, the axis of the traction device generates three-dimensional angle compensation, so that the torsional force generated by the interaction of the traction device and the mounting table on the shell-shaped dental appliance is reduced.
15. A method of designing a dental implement according to claim 14, wherein the mounting platform is angled away from the tooth towards a plane tangential to the corresponding bucco-lingual outermost point of the tooth.
16. A method of designing a dental implement according to claim 15 wherein said mounting surface is disposed at an angle of 1-30 ° to a corresponding tangential plane to the lingual outermost point of said teeth.
17. A method of designing a dental instrument as in claim 14, wherein the three-dimensional angular compensation is a three-dimensional angular compensation of the distraction device in a three-dimensional spatial coordinate system of the dental instrument.
18. A method of designing a dental instrument as in claim 17, wherein the three-dimensional coordinate system of the dental instrument includes an X-axis along a tangential direction of a center point of the tooth, a Y-axis perpendicular to the X-axis on the jaw plane, and a Z-axis along a long axis of the tooth.
19. A method of designing a dental instrument as in claim 14, wherein the mounting surface is a flat surface or a curved surface substantially conforming to the curvature of the tooth surface.
20. A method of designing a dental implement according to claim 19, wherein the axis of the pulling device is substantially perpendicular to the face of the mounting table remote from the tooth when the mounting surface is planar.
21. A method of designing a dental instrument as in claim 19, wherein when the mounting surface is curved, the axis of the distraction device is substantially perpendicular to a tangent plane to the highest point of the curved surface.
22. A method of designing a dental instrument as in claim 17, wherein the three-dimensional angular compensation is provided by a direction of traction of the traction device.
23. A method of designing a dental appliance as claimed in claim 14, wherein the mounting plate includes a mounting plate mesial surface and a mounting plate distal surface, the mounting plate mesial surface and the mounting plate distal surface protruding from the outer surface of the shell-shaped dental appliance at different heights.
24. A method of designing a dental appliance as claimed in claim 23, wherein the height of the mounting plate proximal surface projecting above the shell-shaped dental appliance outer surface is less than the height of the mounting plate distal surface projecting above the shell-shaped dental appliance outer surface when the traction device is generating traction in the mesial direction; when the traction device generates traction force towards the far-middle direction, the height of the outer surface of the shellliform tooth appliance, which is convexly arranged on the far-middle surface of the mounting table, is smaller than the height of the outer surface of the shellliform tooth appliance, which is convexly arranged on the near-middle surface of the mounting table.
25. A method of designing a dental instrument as claimed in claim 14, wherein the mounting surface of the mounting table is further provided with a through hole for the passage of the pulling device therethrough, the pulling device being secured to the mounting table by passing through the through hole.
26. A method of designing a dental instrument as in claim 25, wherein the retraction device includes a fixed portion received within the mounting block and a retraction portion provided on an outer surface of the mounting block.
27. A method of designing a dental instrument according to claim 14, wherein the mounting surface of the mounting block and the pulling device are fixedly connected by welding, gluing, riveting.
28. A method of designing a dental instrument according to claim 14, wherein the method of designing the mounting table comprises:
selecting a central point of the single tooth model;
projecting to the target dental arch curve according to the central point of the single tooth model to obtain a corresponding projection point of the single tooth model;
establishing a normal direction perpendicular to a tangent plane of the surface of the corresponding single tooth model according to the corresponding projection point, setting the height of the normal direction protrusion, and establishing a reference point of the mounting table and the long axis direction of the mounting table;
designing the angle between the mounting surface and the arch curve tangent plane of the corresponding accommodating tooth;
and designing the complete structure of the mounting table.
29. A method of designing a dental instrument according to claim 28, wherein the height of the normal projection is designed according to a partial thickness of the pulling device.
30. A method of designing a dental instrument as in claim 29, wherein the retraction device includes a fixation portion and a retraction portion, the fixation portion being received within the mounting block, the retraction portion being disposed on an outer surface of the mounting block, the height of the normal projection being configured to correspond to the thickness of the fixation portion.
31. A method of designing a dental instrument as in claim 28, wherein the method of designing a target arch curve comprises:
determining a jaw plane coordinate system of the tooth digital model, wherein a y axis is designed to be a central line of the tooth digital model, and an x axis is an axis which is perpendicular to the y axis on a jaw plane;
inputting information of a triangular mesh of the digital tooth model;
calculating the average value of the triangular grid coordinates of each digital tooth model, and projecting the average value to a jaw plane coordinate system to obtain the coordinates (x) of the central points of a plurality of digital tooth models 1 ,y 1 ),…,(x n ,y n ) Wherein n is the number of a plurality of teeth;
and fitting the dental arch curve to obtain a target dental arch curve.
32. A method of designing a dental instrument as in claim 31, wherein the method of fitting the dental arch curve is a least squares fit using an algebraic equation of an ellipse, i.e. solving
Figure RE-FDA0003032832100000051
The obtained elliptic equation is the dental arch curve Ax 2 +By 2 The target arch curve is one half of the constituent elliptical curve, where a denotes the longer half of the ellipse and B denotes the shorter half of the ellipse.
33. A method of designing a dental instrument as in claim 28, wherein said step of establishing a normal direction perpendicular to a tangent plane to a surface of a corresponding individual one of said tooth models based on said corresponding points and setting a height of a projection to said normal direction based on a thickness of said fixture portion comprises selecting a reference point location of said mounting table and determining a long axis direction of said mounting table.
34. A method of designing a dental instrument as in claim 33, wherein the step of selecting the location of the mounting table datum point comprises the steps of:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure RE-FDA0003032832100000061
Figure RE-FDA0003032832100000062
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure RE-FDA0003032832100000063
t obtained from the above solution 0 Obtaining the closest point
Figure RE-FDA0003032832100000064
Namely the mounting table reference point.
35. A method of designing a dental instrument as in claim 34, wherein the mounting table datum point location determination further comprises referencing a mounting table shape, a labial/buccal thickness of a tooth, or a diaphragm thickness factor determination.
36. A method of designing a dental instrument as in claim 33, wherein the step of selecting the mounting table in the direction of the long axis comprises the steps of:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure RE-FDA0003032832100000065
Figure RE-FDA0003032832100000066
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure RE-FDA0003032832100000067
t obtained from the above solution 0 Obtaining the closest point
Figure RE-FDA0003032832100000068
According to the above-mentioned solved t 0 Finding out the external normal of the corresponding point on the dental arch curve
Figure RE-FDA0003032832100000071
Obtaining the long axis direction of the mounting table.
37. A method of designing a dental instrument as in claim 36, wherein the determining of the orientation of the long axis of the mounting station further comprises determining the shape of the mounting station, the labial/buccal factors of the tooth.
38. A method of designing a dental instrument as claimed in claim 14, wherein the series of intermediate digital models of the jaw correspond to a series of intermediate shell dental appliances; the series of middle shell-shaped tooth appliances are all provided with mounting platforms, the angles of the mounting platforms can be adjusted in an appliance plan, and the positioning method of the mounting platforms comprises the following steps:
selecting a single target tooth model;
obtaining each step position of a single target tooth model according to steps in the orthodontic plan design, wherein the step positions can be expressed as a transfer matrix in a homogeneous coordinate system;
Figure RE-FDA0003032832100000072
wherein R is 3×3 And t 3×1 Respectively representing a rotation matrix and a translation amount;
respectively calculating the position of the mounting table according to each step position of the single target tooth model, namely multiplying the transfer matrix by the coordinates of the cavity model in a homogeneous coordinate system;
Figure RE-FDA0003032832100000073
wherein v is 3×1 Representing the coordinates of each vertex in the cavity model.
39. A method of designing a dental instrument as in claim 14, wherein the step of designing the angle of the mounting surface to the corresponding arch curve tangent plane of the receiving tooth comprises:
estimating the additional correcting force of the mounting table and the traction device at each step position;
estimating a spatial coordinate value of an impedance center of a tooth bonded to the mounting stage;
projecting the mounting table reference point to one surface of a binding target tooth model, which is provided with the mounting table, to obtain a projection point; the mounting table is arranged on the labial/buccal side surface or the lingual side surface of the target tooth;
calculating the pose change of the teeth according to the projection points, the impedance centers and the correction force;
and when the simulated tooth movement process is not matched with the correction plan, adjusting the angle of the long axis three-dimensional axis of the mounting table or the coordinate position of the reference point of the mounting table until the position change of the tooth model is calculated to be within the threshold range.
40. A design method of a traction device mounting table of a shell-shaped tooth appliance is characterized in that the traction device mounting table is applied to the shell-shaped tooth appliance, and a traction device is fixed on the traction device mounting table, and the mounting table design method comprises the following steps: selecting the central point of the single tooth model;
projecting to the target dental arch curve according to the central point of the single tooth model to obtain a corresponding projection point of the single tooth model;
establishing a normal direction perpendicular to a tangent plane of the surface of the corresponding single tooth model according to the corresponding projection point, setting the height of the normal direction protrusion, and establishing a reference point of the mounting table and the long axis direction of the mounting table;
designing the angle between the mounting surface and the arch curve tangent plane of the corresponding accommodating tooth;
and designing the complete structure of the mounting table.
41. A method of designing a dental instrument according to claim 40, wherein the height of the normal projection is designed according to a partial thickness of the pulling device.
42. A method of designing a dental instrument as in claim 41, wherein the distraction device includes a fixation portion and a distraction portion, the fixation portion being received within the mounting block, the distraction portion being provided on an outer surface of the mounting block, the height of the normal projection being configured according to a thickness of the fixation portion.
43. A method of designing a dental instrument as in claim 40, wherein the method of designing a target arch curve comprises:
determining a jaw plane coordinate system of the tooth digital model, wherein a y axis is designed to be a central line of the tooth digital model, and an x axis is an axis which is perpendicular to the y axis on a jaw plane;
inputting information of a triangular mesh of the digital tooth model;
calculating the average value of the triangular grid coordinates of each digital tooth model, and projecting the average value to a jaw plane coordinate system to obtain the coordinates (x) of the central points of a plurality of digital tooth models 1 ,y 1 ),…,(x n ,y n ) Wherein n is the number of a plurality of teeth;
and fitting the dental arch curve to obtain a target dental arch curve.
44. A method of designing a dental instrument as in claim 43, wherein the method of fitting the dental arch curve is a least squares fit using an algebraic equation of an ellipse, i.e. solving
Figure RE-FDA0003032832100000091
The obtained elliptic equation is the dental arch curve Ax 2 +By 2 1, the target arch curve is one half of the constituent elliptic curves, whereA denotes the longer half of the ellipse and B denotes the shorter half of the ellipse.
45. A method for designing a dental instrument as in claim 40, wherein the step of establishing a normal direction perpendicular to a tangential plane of the surface of the corresponding individual tooth model based on the corresponding points and setting a height of the projection toward the normal direction based on the thickness of the fixture portion includes selecting a reference point position of the mounting table and determining a long axis direction of the mounting table.
46. A method of designing a dental instrument as in claim 45, wherein the step of selecting the location of the mounting table datum point comprises the steps of:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure RE-FDA0003032832100000092
Figure RE-FDA0003032832100000093
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure RE-FDA0003032832100000094
t obtained from the above solution 0 Obtaining the closest point
Figure RE-FDA0003032832100000095
Namely the mounting table reference point.
47. A method of designing a dental instrument as in claim 46, wherein the mounting table datum point location determination further comprises referencing a mounting table shape, labial/buccal thickness of a tooth or a diaphragm thickness factor determination.
48. A method of designing a dental instrument as in claim 45, wherein the step of selecting the mounting table in the direction of the long axis comprises the steps of:
specifying a point (a, b) on the jaw plane;
parameterizing the dental arch curve obtained by the method to obtain
Figure RE-FDA0003032832100000101
Figure RE-FDA0003032832100000102
t is a parameter of arch position;
finding the point on the dental arch curve closest to the specified point, namely solving:
Figure RE-FDA0003032832100000103
t obtained from the above solution 0 Obtaining the closest point
Figure RE-FDA0003032832100000104
T obtained from the above solution 0 Finding out the external normal direction of the corresponding point on the dental arch curve
Figure RE-FDA0003032832100000105
Obtaining the long axis direction of the mounting table.
49. A method of designing a dental instrument as in claim 48, wherein the determination of the orientation of the long axis of the mounting station further comprises a determination of the shape of the mounting station, a tooth labial/buccal factor.
50. A method of designing a dental instrument as in claim 40, wherein the series of intermediate digital models of the jaw correspond to a series of intermediate shell dental appliances; the series of middle shell-shaped tooth appliances are all provided with mounting platforms, the angles of the mounting platforms can be adjusted in an appliance plan, and the positioning method of the mounting platforms comprises the following steps:
selecting a single target tooth model;
obtaining each step position of a single target tooth model according to steps in the orthodontic plan design, wherein the step positions can be expressed as a transfer matrix in a homogeneous coordinate system;
Figure RE-FDA0003032832100000111
wherein R is 3×3 And t 3×1 Respectively representing a rotation matrix and a translation amount;
respectively calculating the position of the mounting table according to each step position of the single target tooth model, namely multiplying the transfer matrix by the coordinates of the cavity model in a homogeneous coordinate system;
Figure RE-FDA0003032832100000112
wherein v is 3×1 Representing the coordinates of each vertex in the cavity model.
51. A method of designing a dental instrument as in claim 40, wherein said step of designing an angle of said mounting surface to said corresponding arch curve cut plane of said receiving tooth comprises:
estimating the additional correcting force of the mounting table and the traction device at each step position;
estimating a spatial coordinate value of an impedance center of a tooth bonded to the mounting stage;
projecting the mounting table datum point to one surface, provided with the mounting table, of a binding target tooth model; the mounting table is arranged on the labial/buccal side surface or the lingual side surface of the target tooth;
calculating the pose change of the teeth according to the projection points, the impedance centers and the correction force;
and when the simulated tooth movement process is not matched with the correction plan, adjusting the angle of the long axis three-dimensional axis of the mounting table or the coordinate position of the reference point of the mounting table until the position change of the tooth model is calculated to be within the threshold range.
CN202110217828.2A 2021-02-26 2021-02-26 Dental instrument, method for designing dental instrument, and method for designing mounting table Pending CN114948284A (en)

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