An orthodontic archwire bending field evaluation method based on bending field angle region segmentation

Abstract

The application discloses an orthodontic arch wire bending field evaluation method based on bending field angle area segmentation, and relates to the field of orthodontic arch wire bending evaluation. When the bending effect requirement of the orthodontic arch wire bending field is used to evaluate the orthodontic arch wire bending field, the pose of the theoretical orthodontic arch wire curve bending field space curve and the actual orthodontic arch wire bending field space curve in the bending field evaluation space coordinate system is used. After judging the field error, the relative angle area bending error and the total angle area bending error of the actual orthodontic arch wire bending field space curve are judged by combining the bending point standard degree of the theoretical orthodontic arch wire bending field space curve and the relative standard degree of the bending point of the theoretical orthodontic arch wire bending field space curve. An orthodontic arch wire bending field evaluation method based on bending field angle area segmentation is established. The orthodontic arch wire bending field is taken as the evaluation target, the field error, the relative angle area bending error and the total angle area bending error are taken as the evaluation indexes, the bending effect of the orthodontic arch wire bending field can be evaluated, and the problem that the orthodontic arch wire bending field cannot meet the orthodontic effect requirement provided by the orthodontic arch wire bending field required for tooth correction is avoided.

Description

TECHNICAL FIELD

[0001] The present application relates to a kind of based on bending domain angle segmentation orthodontic archwire bending domain evaluation method, belong to orthodontic archwire bending evaluation technical field. BACKGROUND

[0002] Malocclusion is the third largest oral disease endangering human health, showing a high incidence rate, in modern dentistry, fixed correction is a commonly used and effective orthodontic treatment method, and the bending of orthodontic archwire is the key to fixed correction technology. In recent years, the traditional oral manufacturing process is undergoing a revolutionary change under the influence of digital manufacturing technology, and the field of orthodontics also benefits from digital technology. The processing of archwire in orthodontic appliances is developing towards digitization.

[0003] In the field of orthodontic archwire evaluation, region division followed by evaluation of each divided region is a commonly used method, which divides the orthodontic archwire bending domain into a series of regions for evaluation. Therefore, the division of regions is a key step in evaluating the orthodontic archwire bending domain. In addition, when evaluating the divided regions, the boundary nodes of the divided regions are evaluated. The smaller the boundary interval, the closer the node distance, the more accurate the evaluation, and the higher the precision. However, the smaller the interval, the more boundary points, and the more work. Due to the requirement for evaluation accuracy, there is currently a lack of evaluation methods for orthodontic archwire bending domain evaluation that are both accurate and have small workload and high evaluation efficiency. SUMMARY

[0004] To solve the above problems, the present application provides a kind of based on bending domain angle segmentation orthodontic archwire bending domain evaluation method, solve the current orthodontic archwire bending evaluation technical field lacks the problem of orthodontic archwire bending domain evaluation that is both accurate and has small workload and high evaluation efficiency, avoid the problem that accuracy and efficiency cannot be achieved simultaneously, effectively improve the efficiency of orthodontic archwire bending domain evaluation.

[0005] Step one, import theoretical orthodontic archwire bending domain data and actual orthodontic archwire bending domain data:

[0006] The orthodontist designs a theoretical orthodontic archwire space curve with U bending points according to the patient's dentition morphology. The theoretical orthodontic archwire space curve with U bending points is divided into U unit spherical domains with bending point density According to the theoretical orthodontic archwire space curve, n equal-radius spherical domains are divided, is a quantitative description of the density of the u-th bending point in the unit spherical domain on the theoretical orthodontic archwire space curve. The divided equal-radius spherical domain and the orthodontic archwire curve in the spherical domain are called bending domain. According to the angular distance ratio E uSize sorts the bending points on the theoretical orthodontic archwire spatial curve in n bending domains, u takes the value of u = 1, 2, 3, …, U, and the bending point angular distance ratio E u is the quantitative description of the bending effect of the u-th bending point; the actual orthodontic archwire spatial curve is obtained by bending according to the bending domains divided by the theoretical orthodontic archwire spatial curve and the sorted bending points, and the actual orthodontic archwire spatial curve contains n actual orthodontic archwire bending domain spatial curves; the T-th theoretical orthodontic archwire bending domain spatial curve of the theoretical orthodontic archwire spatial curve is defined as m P T , and T takes the value of T = 1, 2, 3, …, n; the T-th theoretical orthodontic archwire bending domain spatial curve of the actual orthodontic archwire spatial curve is defined as m P T '; an O-XYZ three-dimensional orthodontic archwire bending domain error evaluation coordinate system w is established, and the bending point information set of the theoretical orthodontic archwire bending domain spatial curve is calculated and input is the pose information of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and λ, u, μ take the value of 1 ≤ λ ≤ u ≤ μ ≤ U, wherein: is the X-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Y-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Z-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the bending angle of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the left end point of the theoretical orthodontic archwire bending domain spatial curve is A T , the right end point of the theoretical orthodontic archwire bending domain spatial curve is B T , and the midpoint of the line connecting A T and B T is T O; the theoretical orthodontic archwire bending domain spatial curve is subjected to spatial transformation: the point T O coincides with the origin O of the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, the left end point A T of the theoretical orthodontic archwire bending domain spatial curve is located on the negative half of the X-axis, and the right end point B TThe theoretical orthodontic archwire bending domain spatial curve is located on the positive half of the X-axis, and has no intersection with the Z-axis; the theoretical orthodontic archwire bending domain spatial curve is rotated clockwise around the X-axis until the intersection between the theoretical orthodontic archwire bending domain spatial curve and the Z-axis appears, and the position and posture of the theoretical orthodontic archwire bending domain spatial curve after spatial transformation is set as the position and posture in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and the bending point information set P of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation is calculated and input T = λ P T , T … μ P T}, is the position and posture information of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, wherein: u x is the X-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, uy is the Y-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and uz is the Z-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the bending angle of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system;

[0007] The bending point information set P of the actual orthodontic archwire bending domain spatial curve is calculated and input is the position and posture information of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, wherein: is the X-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Y-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Z-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the bending angle of the u-th bending point of the actual orthodontic archwire bending domain spatial curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the left end point of the actual orthodontic archwire bending domain spatial curve is A' T , the right end point of the actual orthodontic archwire bending domain spatial curve is B' T , A' T , and B'T the midpoint of the line segment between O and O' is T O', and performing a spatial transformation on the actual orthodontic archwire bending field spatial curve: let the point T O' coincide with the origin O of the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, the left end point A' of the actual orthodontic archwire spatial curve T is located on the negative half of the X-axis, the right end point B' of the actual orthodontic archwire bending field spatial curve T is located on the positive half of the X-axis, and the actual orthodontic archwire bending field spatial curve has no intersection with the Z-axis; let the actual orthodontic archwire bending field spatial curve rotate clockwise around the Z-axis until the actual orthodontic archwire bending field spatial curve intersects with the Z-axis, and set the pose of the actual orthodontic archwire bending field spatial curve after the spatial transformation as the pose in the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, calculate and input the bending point information set P' of the actual orthodontic archwire bending field spatial curve after setting T = λ P' T , u P' T , μ P' T , is the position information of the u-th bending point of the actual orthodontic archwire bending field spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, wherein: u x' is the X-axis coordinate of the u-th bending point of the actual orthodontic archwire bending field spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, u y' is the Y-axis coordinate of the u-th bending point of the actual orthodontic archwire bending field spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, u z' is the Z-axis coordinate of the u-th bending point of the actual orthodontic archwire bending field spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, is the bending angle of the u-th bending point of the actual orthodontic archwire bending field spatial curve in the three-dimensional orthodontic archwire bending field error evaluation coordinate system; define the bending field degree with the symbol D P , the bending field degree represents the distance between the two end points of the orthodontic archwire bending field spatial curve; the bending field degree of the theoretical orthodontic archwire bending field spatial curve P T is defined as the bending field degree of the theoretical orthodontic archwire bending field spatial curve P T is calculated as the bending field degree of the actual orthodontic archwire bending field spatial curve P T ' is defined as the bending field degree of the actual orthodontic archwire bending field spatial curve P T ' is calculated as

[0008] Step two, the bending field error of the actual orthodontic archwire bending field spatial curve is determined

[0009] The bending field error of the actual orthodontic archwire bending field spatial curve is defined as |δ|, and the bending field error of the actual orthodontic archwire bending field spatial curve is defined as The upper limit value of the bending field error of the actual orthodontic archwire bending field spatial curve is δ max ;

[0010] Determine whether |δ' T |≤δ max is established;

[0011] If |δ' T |≤δ max is established, it means that the bending field error of the actual orthodontic archwire bending field spatial curve P T ' is within the limited range, and then jump to step three;

[0012] If |δ' T |≤δ max is not established, it means that the bending field error of the actual orthodontic archwire bending field spatial curve P T ' is not within the limited range, and then output: the bending field error of the actual orthodontic archwire bending field spatial curve P T ' is not within the limited range, the orthodontic archwire bending field is unqualified, and the evaluation of the orthodontic archwire bending field is completed;

[0013] Step three, calculate the bending point standard degree of the theoretical orthodontic archwire bending field spatial curve, the angle zone bending error of the actual orthodontic archwire bending field spatial curve, and the total angle zone bending error:

[0014] In the XOZ plane, take O point as the starting point, take X axis negative half axis as the starting point, take X axis positive half axis as the end, take as the equal angle, draw N+1 rays h i , i, the value range is i=1, 2, 3, …, N+1, divide the upper half plane containing the Z axis positive half axis of the XOZ plane into N parts, and the rays h i intersect the theoretical orthodontic archwire bending field spatial curve P T at a i point, connect the O point and the a i point, make the ray h i rotate clockwise in the YOa i plane, intersect the actual orthodontic archwire bending field spatial curve P T ' at b i point, connect the O point and the b i point, and calculate the distance from the O point to the a i point to obtain the set Calculate the distance from point O to b i The distance from point O to b

[0015] Define the bending angle region, denoted by symbol C, which represents the spatial surface formed by the adjacent two rays and the same orthodontic archwire bending domain spatial curve; it is stipulated that the bending angle region formed by the adjacent two rays h i-1 , h i and the same theoretical orthodontic archwire bending domain spatial curve is denoted by C i , and the bending angle region formed by the adjacent two rays h i-1 , h i and the same actual orthodontic archwire bending domain spatial curve is denoted by C' i ;

[0016] Define the angular region bending degree, denoted by symbol A C , which is a quantitative description of the bending effect of the orthodontic archwire bending in the bending angle region; it is stipulated that the angular region bending degree of the bending angle region C T of the theoretical orthodontic archwire bending domain spatial curve P i is A The angular region bending degree of the bending angle region C' T of the actual orthodontic archwire bending domain spatial curve P i is A' Calculate the angular region bending degree of the bending angle region of the theoretical orthodontic archwire bending domain spatial curve P T , and obtain the set of angular region bending degrees of the bending angle region Calculate the angular region bending degree of the bending angle region of the actual orthodontic archwire bending domain spatial curve P T , and obtain the set of angular region bending degrees of the bending angle region

[0017] Define the bending point standard degree, denoted by symbol V st , which is a quantitative description of the bending effect standard requirement of the orthodontic archwire bending point;

[0018] Define the angular region bending error, denoted by symbol ΔA C , which is the absolute value of the difference between the angular region bending degree of the ideal orthodontic archwire bending domain spatial curve and the angular region bending degree of the corresponding actual orthodontic archwire bending domain spatial curve; it is stipulated that the angular region bending error of the bending angle region C' i of the actual orthodontic archwire bending domain spatial curve is ΔA' Calculate the angular region bending error of the bending angle region C' i of the actual orthodontic archwire bending domain spatial curve, and obtain the set of angular region bending errors of the bending angle region of the actual orthodontic archwire bending domain spatial curve P T ' is ΔA' ​

[0019] Define the total angle zone bending error of the bending domain, denoted by the symbol A. P This indicates that the total angular area error of the bending domain is the sum of the angular area bending errors of the bending domain; the actual orthodontic archwire bending domain space curve P is specified. T 'Total angle area bending error The actual orthodontic archwire bending space curve P was calculated. T 'Total angle area bending error

[0020] Step 4: Calculate the relative standard of the bending point of the theoretical orthodontic archwire space curve and determine the bending error of the relative angle area of ​​the orthodontic archwire bending domain space curve.

[0021] Define the relative standard of the bending point using the symbol V. u The relative standardity of the bending point is defined as the ratio of the quantitative description of the bending effect of the orthodontic archwire bending point to the quantitative description of the standard requirement for the bending effect of the orthodontic archwire bending point. A higher relative standardity value indicates a higher precision requirement for the orthodontic archwire bending point. The relative standardity of the theoretical orthodontic archwire bending point is specified. Since no bending is required at the first bending point, the relative standard degree of the bending point of the orthodontic archwire at the first bending point is defined as 0. The relative standard degree of the bending points on the theoretical orthodontic archwire bending domain curve is calculated to obtain the set {V1, V2, V3, ..., V...}. U}; The bending range of the bending point u is defined as the orthodontic archwire between the bending point u and the bending point u-1; When the angle region C i Boundary line h i When the bending point u is within the bending range, then the corner area C i Within the bending range of bending point u; define the bending error in the relative angle zone, denoted by the symbol. The relative angle bending error indicates a relative standardization of the orthodontic archwire bending error based on the accuracy requirements of the orthodontic archwire bending point; it specifies the relative angle bending error of the actual orthodontic archwire bending domain space curve. The actual orthodontic archwire bending space curve P was calculated. T The set of relative angle bending errors in the 'corner area' The upper limit of the bending error in the relative angle zone of the orthodontic archwire bending area is specified as A. max ;

[0022] judge Is it valid?

[0023] like The validity of this indicates that the actual orthodontic archwire bending domain space curve P T If the bending errors of the relative corner areas of the corner areas are all within the specified range, then proceed to step five;

[0024] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T 'The relative angle bending error in the angular region is not within the specified range. Output: Actual orthodontic archwire bending domain space curve P' T 'The relative angle bending error of the corner area is not within the limit range, the bending domain of the orthodontic archwire is unqualified, and the evaluation of the bending domain of the orthodontic archwire is completed.'

[0025] Step 5: Judgment of bending error in the common angle area:

[0026] The upper limit of the bending error in the total angle zone of the orthodontic archwire bending area is specified as follows:

[0027] judge Is it valid?

[0028] like The validity of this indicates that the actual orthodontic archwire bending domain space curve P T 'Total corner bending error in the upper corner area' Within the specified range, the output is: the bending range error, relative angle area bending error, and total angle area bending error of the actual orthodontic archwire bending range are all within the specified range, the orthodontic archwire bending range is qualified, and the evaluation of the orthodontic archwire bending range is completed.

[0029] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T 'Total corner bending error in the upper corner area' Output: Actual orthodontic archwire bending domain space curve P (outside the specified range) T 'Total corner bending error in the upper corner area' If the orthodontic archwire bending area is outside the specified range, the evaluation of the orthodontic archwire bending area is complete.

[0030] The beneficial effects of this invention are as follows:

[0031] 1. In the evaluation process of orthodontic archwire bending region, this invention proposes the concept of bending region degree error. It uses the absolute value of the difference between the bending region degree of the theoretical orthodontic archwire bending region space curve and the actual bending region degree of the actual orthodontic archwire bending region space curve to make a priori judgment on the error of the actual orthodontic archwire bending region space curve. Furthermore, based on the requirements for the collection effect of the orthodontic archwire bending region, an upper limit value δ for the bending region degree error is set. max By judging the degree error of the bending region, the efficiency of orthodontic archwire bending region evaluation can be improved. It can quickly judge when the orthodontic archwire bending region has a large error, thus improving the efficiency of orthodontic archwire bending region evaluation.

[0032] 2. In the evaluation of orthodontic archwire bending domain, this invention proposes the concept of corner bending regime. By using the area enclosed by the intersection of the ray from the same starting point and the spatial curve of the orthodontic archwire bending domain, the bending effect of that segment of the archwire in the orthodontic archwire bending domain can be quantitatively described. This allows for the parameterization of the orthodontic archwire bending effect, facilitating the calculation of the corner bending regime error in the next step of orthodontic archwire bending domain evaluation based on corner segmentation of the bending domain.

[0033] 3. This invention calculates the bending error in the relative angle region of the actual orthodontic archwire bending space curve. At that time, the bending error of the corner area of ​​the actual orthodontic archwire bending domain space curve was used. The relative standard degree V of the bending point within the bending range of the corner area u The product of these factors is used as the relative corner bending error of that corner region, and is also used in calculating the relative standard deviation V at the bending point. u Since the bending effect requirements of the orthodontic archwire bending points are different, it is necessary to seek the standard requirements of the bending effect of the bending points as the bending standard of the bending points to ensure the accuracy when calculating the bending error in the relative angle area, and further ensure the accuracy of the evaluation of the orthodontic archwire bending domain.

[0034] 4. Compared with the invention patent "An Evaluation Method for Orthodontic Archwire Based on Bending Domain Nodes" filed on the same day by the same inventor, although both methods are applicable to the evaluation of orthodontic archwire bending domains, the method mentioned in "An Evaluation Method for Orthodontic Archwire Based on Bending Domain Nodes" focuses on the difference between the bending effect requirements of the orthodontic archwire bending domain and the bending effect requirements of the entire orthodontic archwire, and then on the bending ratio C of the bending domain. P The orthodontic archwire bending region is evaluated by calculating the bending region node error and the relative total bending region node error. This method focuses on different bending effects required at each bending point, and then on the relative standardness V of each bending point. u The orthodontic archwire bending domain is evaluated by calculating the relative angle bending error and total angle bending error of the actual orthodontic archwire bending domain space curve in the form of a continuous region. The two methods have different application requirements when evaluating the orthodontic archwire bending domain. Therefore, this method proposes to compensate for the other method, thereby improving a series of methods for evaluating the orthodontic archwire bending domain. Attached Figure Description

[0035] For ease of explanation, the present invention will be described in detail below with reference to specific embodiments and accompanying drawings.

[0036] Figure 1 A flowchart of an orthodontic archwire bending domain evaluation method based on bending domain angle segmentation;

[0037] Figure 2A schematic diagram for orthodontic archwire bending field division;

[0038] Figure 3 A schematic diagram for orthodontic archwire bending field position determination;

[0039] Figure 4 A schematic diagram for theoretical orthodontic archwire and actual orthodontic archwire bending field angle region division; DETAILED DESCRIPTION

[0040] In order to make the purpose, technical scheme and advantages of the present application patent more clear and obvious, the following describes the present application patent through specific embodiments shown in the drawings, but it should be understood that these descriptions are only exemplary and are not intended to limit the scope of the present application patent, and in the following description, the description of the known structures and technologies is omitted to avoid unnecessary confusion of the concept of the present application patent.

[0041] Embodiment 1: as shown in Figure 1 , Figure 2 , Figure 3 , Figure 4 The present embodiment adopts the following technical scheme: an orthodontic archwire bending field evaluation method based on bending field angle region division, the specific implementation process of the method is as follows:

[0042] Step one, import theoretical orthodontic archwire bending field data and actual orthodontic archwire bending field data:

[0043] The orthodontist designs a theoretical orthodontic archwire spatial curve with U bending points according to the patient's dentition morphology, and the theoretical orthodontic archwire spatial curve with U bending points required by the patient is divided into n equal radius spherical domains according to the unit spherical domain bending point density of the bending point, and the theoretical orthodontic archwire spatial curve is divided into n equal radius spherical domains according to the unit spherical domain bending point density of the bending point, and the theoretical orthodontic archwire spatial curve is divided into n equal radius spherical domains according to the unit spherical domain bending point density u of the bending point, and the theoretical orthodontic archwire spatial curve is divided into n equal radius spherical domains according to the unit spherical domain bending point density u of the bending point, and the theoretical orthodontic archwire spatial curve is divided into n equal radius spherical domains according to the unit spherical domain bending point density m of the bending point, and the theoretical orthodontic archwire spatial curve is divided into n equal radius spherical domains according to the unit spherical domain bending point density T , T is in the range of T = 1, 2, 3, …, n; and the Tth theoretical orthodontic archwire bending field spatial curve of the actual orthodontic archwire spatial curve is denoted asm P T Establish an O-XYZ three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, calculate and input the theoretical orthodontic archwire bending domain space curve bending point information set. The pose information of the u-th bending point of the theoretical orthodontic archwire bending domain space curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w is given. The values ​​of λ, u, and μ range from 1 ≤ λ ≤ u ≤ μ ≤ U, where: Let be the X-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain space curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w. Let be the Y-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain space curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w. Let be the Z-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain space curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w. It is the bending angle of the u-th bending point of the theoretical orthodontic archwire bending domain space curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the left endpoint of the theoretical orthodontic archwire bending domain space curve is A. T The right endpoint of the theoretical orthodontic archwire bending domain space curve is B. T A T and B T The midpoint of the line connecting them is T O, perform a spatial transformation on the theoretical orthodontic archwire spatial bending domain curve: Let point T O coincides with the origin O of the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and the left endpoint A of the theoretical orthodontic archwire bending domain space curve is... T Located on the negative half-axis of the X-axis, the right endpoint B of the theoretical orthodontic archwire bending domain space curve T Located on the positive X-axis, the theoretical orthodontic archwire bending domain spatial curve has no intersection with the Z-axis. This curve is then rotated clockwise around the X-axis until it intersects with the Z-axis. The pose of the spatially transformed theoretical orthodontic archwire bending domain spatial curve is then set as its pose in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w. The bending point information set P of the translated and rotated theoretical orthodontic archwire bending domain spatial curve is calculated and input. T ={ λ P T , ..., u P T …, μ P T}, The pose information of the u-th bending point of the theoretical orthodontic archwire bending domain space curve after translation and rotation, relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, where: ux is the X-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w after translation and rotation, u y is the Y-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w after translation and rotation, u z is the Z-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w after translation and rotation, is the bending angle of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system after translation and rotation;

[0044] Calculate and input the actual orthodontic archwire bending domain spatial curve bending point information set is the pose information of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, wherein: is the X-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Y-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Z-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the bending angle of the u-th bending point of the actual orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system after translation and rotation; the left end point of the actual orthodontic archwire bending domain spatial curve is A' T , the right end point of the actual orthodontic archwire bending domain spatial curve is B' T , A' T and B' T , the midpoint of the line between A' T and B' T , perform spatial transformation on the actual orthodontic archwire bending domain spatial curve: let point T O' coincide with the origin O of the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, the left end point A' TThe actual orthodontic archwire bending domain spatial curve is located on the positive half of the X-axis, and has no intersection with the Z-axis; the actual orthodontic archwire bending domain spatial curve is rotated clockwise around the Z-axis until the actual orthodontic archwire bending domain spatial curve intersects with the Z-axis, and the position and posture of the actual orthodontic archwire bending domain spatial curve after the spatial transformation is set as the position and posture in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and the bending point information set P' of the actual orthodontic archwire bending domain spatial curve after the setting is calculated and input T = { λ P' T , …, u P' T …, μ P' T}, is the position information of the u-th bending point of the actual orthodontic archwire bending domain spatial curve after the translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, wherein: u x' is the X-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve after the translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, u y' is the Y-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve after the translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, u z' is the Z-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain spatial curve after the translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the bending angle of the u-th bending point of the actual orthodontic archwire bending domain spatial curve after the translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the bending domain degree is defined as symbol D P , the bending domain degree represents the distance between the two end points of the orthodontic archwire bending domain spatial curve; the bending domain degree of the theoretical orthodontic archwire bending domain spatial curve P T is denoted as The bending domain degree of the theoretical orthodontic archwire bending domain spatial curve P T is calculated as The bending domain degree of the actual orthodontic archwire bending domain spatial curve P T ' is denoted as The bending domain degree of the actual orthodontic archwire bending domain spatial curve P T ' is calculated as

[0045] Step two, bending domain degree error judgment of the actual orthodontic archwire bending domain spatial curve

[0046] The bending domain degree error is defined as symbol |δ|, and the bending domain degree error of the actual orthodontic archwire bending domain spatial curve is The upper limit value of the bending field degree error of the bending field space curve of the actual orthodontic archwire bending field is δ max ;

[0047] |δ' T |≤δ max ;

[0048] If |δ' T |≤δ max , it means that the bending field degree error of the actual orthodontic archwire bending field space curve P T ' is within the limited range, and then jump to step three;

[0049] If |δ' T |≤δ max , it means that the bending field degree error of the actual orthodontic archwire bending field space curve P T ' is not within the limited range, and then output: the bending field degree error of the actual orthodontic archwire bending field space curve P T ' is not within the limited range, the orthodontic archwire bending field is unqualified, and the evaluation of the orthodontic archwire bending field is completed;

[0050] Step three, calculating the bending point standard degree of the theoretical orthodontic archwire bending field space curve, the angle zone bending error of the actual orthodontic archwire bending field space curve, and the total angle zone bending error:

[0051] In the XOZ plane, taking O point as the starting point, taking the negative half of the X axis as the starting point, taking the positive half of the X axis as the end point, and taking as the equal angle, N+1 rays h i are drawn, the value range of i is i=1, 2, 3, …, N+1, the upper half plane of the XOZ plane containing the positive half of the Z axis is equally divided into N parts, the rays h i intersect the theoretical orthodontic archwire bending field space curve P T at a i point, connecting the O point and the a i point, rotating the rays h i clockwise in the YOa i plane, intersecting the actual orthodontic archwire bending field space curve P T ' at a b i point, connecting the O point and the b i point, calculating the distance from the O point to the a i point to obtain a set calculating the distance from the O point to the b i point to obtain a set

[0052] The bending angle zone is defined as symbol C, which represents the space surface surrounded by the adjacent two rays and the same orthodontic archwire bending field space curve; it is provided that the bending angle zone is formed by the adjacent two rays h i-1h i The bending angle region enclosed by the same theoretical orthodontic archwire bending domain space curve is represented by C. i This indicates that the two adjacent rays h i-1 h i The bending angle region enclosed by the same actual orthodontic archwire bending space curve is denoted by C'. i express;

[0053] Define the angle zone bending regime, using the symbol A. C The term "corner bending regime" refers to a quantitative description of the orthodontic archwire bending effect that forms a bending corner, specifying the theoretical orthodontic archwire bending domain space curve P. T Upper bend corner area C i Corner bending system Actual orthodontic archwire bending domain space curve P T 'Upper Curve Corner Area C' i Corner bending system The theoretical orthodontic archwire bending space curve P was calculated. T The corner bending system of the upper corner area is obtained by set. The actual orthodontic archwire bending space curve P was calculated. T The corner bending system of the upper corner area is collected.

[0054] Define the bending point standard using the symbol V. st It indicates that the regulations The standard of bending point is a quantitative description of the standard requirements for the bending effect of orthodontic archwire bending point;

[0055] Define the corner bending error using the symbol ΔA. C The corner bending error is defined as the absolute value of the difference between the corner bending regime of the ideal orthodontic archwire bending domain space curve and the corresponding actual corner bending regime of the actual orthodontic archwire bending domain space curve; the actual orthodontic archwire bending domain space curve's corner bending error (C') is defined as... i Corner bending error The calculated upper corner region C' of the actual orthodontic archwire bending space curve is obtained. i The bending error in the corner area is used to obtain the actual orthodontic archwire bending domain space curve P. T 'Set of corner bending errors in the upper corner area'

[0056] Define the total angle zone bending error of the bending domain, denoted by the symbol A. P This indicates that the total angular area error of the bending domain is the sum of the angular area bending errors of the bending domain; the actual orthodontic archwire bending domain space curve P is specified. T 'Total angle area bending error The actual orthodontic archwire bending space curve P was calculated. T'Total angle area bending error

[0057] Step 4: Calculate the relative standard of the bending point of the theoretical orthodontic archwire space curve and determine the bending error of the relative angle area of ​​the orthodontic archwire bending domain space curve.

[0058] Define the relative standard of the bending point using the symbol V. u The relative standardity of the bending point is defined as the ratio of the quantitative description of the bending effect of the orthodontic archwire bending point to the quantitative description of the standard requirement for the bending effect of the orthodontic archwire bending point. A higher relative standardity value indicates a higher precision requirement for the orthodontic archwire bending point. The relative standardity of the theoretical orthodontic archwire bending point is specified. Since no bending is required at the first bending point, the relative standard degree of the bending point of the orthodontic archwire at the first bending point is defined as 0. The relative standard degree of the bending points on the theoretical orthodontic archwire bending domain curve is calculated to obtain the set {V1, V2, V3, ..., V...}. U}; The bending range of the bending point u is defined as the orthodontic archwire between the bending point u and the bending point u-1; When the angle region C i Boundary line h i When the bending point u is within the bending range, then the corner area C i Within the bending range of bending point u; define the bending error in the relative angle zone, denoted by the symbol. The relative angle bending error indicates a relative standardization of the orthodontic archwire bending error based on the accuracy requirements of the orthodontic archwire bending point; it specifies the relative angle bending error of the actual orthodontic archwire bending domain space curve. The actual orthodontic archwire bending space curve P was calculated. T The set of relative angle bending errors in the 'corner area' The upper limit of the bending error in the relative angle zone of the orthodontic archwire bending area is specified as A. max ;

[0059] judge Is it valid?

[0060] like The validity of this indicates that the actual orthodontic archwire bending domain space curve P T If the bending errors of the relative corner areas of the corner areas are all within the specified range, then proceed to step five;

[0061] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T 'The relative angle bending error in the angular region is not within the specified range. Output: Actual orthodontic archwire bending domain space curve P' T 'The relative angle bending error of the corner area is not within the limit range, the bending domain of the orthodontic archwire is unqualified, and the evaluation of the bending domain of the orthodontic archwire is completed.'

[0062] Step 5: Judgment of bending error in the common angle area:

[0063] The upper limit of the bending error in the total angle zone of the orthodontic archwire bending area is specified as follows:

[0064] judge Is it valid?

[0065] like The validity of this indicates that the actual orthodontic archwire bending domain space curve P T 'Total corner bending error in the upper corner area' Within the specified range, the output is: the bending range error, relative angle area bending error, and total angle area bending error of the actual orthodontic archwire bending range are all within the specified range, the orthodontic archwire bending range is qualified, and the evaluation of the orthodontic archwire bending range is completed.

[0066] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T 'Total corner bending error in the upper corner area' Output: Actual orthodontic archwire bending domain space curve P (outside the specified range) T 'Total corner bending error in the upper corner area' If the orthodontic archwire bending area is outside the specified range, the evaluation of the orthodontic archwire bending area is complete.

[0067] Example 2: As Figure 2 , Figure 3 , Figure 4 As shown, an orthodontic archwire containing U=25 bending points is divided into 8 spherical regions for bending using a spatial equal-radius spherical region division radius determination method based on the density of orthodontic archwire bending points. The bending radius is determined according to the angular distance ratio E of each bending point. u The bending process is performed by sorting the data. Taking the orthodontic archwire bending domain space curves P3 and P'3 as examples, the actual bending domain degree error of the orthodontic archwire bending domain space curve P'3 is |δ'3|, and the bending error in the relative angle area is... The value of i is i = 1, 2, 3, 4, 5, 6, 7, 8, 9, representing the bending error in the total angle area. Assuming that in step two, it is determined that |δ'3| < |δ max Then, in step four, it is determined that... Determine in step five If the bending domain degree error, relative angle area bending error, and total angle area bending error of the actual orthodontic archwire bending domain space curve are all within the specified range, the orthodontic archwire bending domain is qualified, and the evaluation of the orthodontic archwire bending domain is completed.

Claims

1. A method for evaluating a bending region of an orthodontic archwire based on bending region angle zone segmentation, characterized in that: The specific implementation process of the method is: Step one, import the theoretical orthodontic arch wire bending field data and the actual orthodontic arch wire bending field data: orthodontist designs a theoretical orthodontic archwire space curve with U bending points according to the tooth arrangement of a patient, and the theoretical orthodontic archwire space curve with U bending points required by the patient is bent with the unit ball region bending point density of the bending point In order to divide n equal radius spherical regions on the theoretical orthodontic archwire space curve, is a quantitative description of the density of the Uth bending point in the unit ball region on the theoretical orthodontic archwire space curve, the divided equal radius spherical region and the orthodontic archwire curve in the spherical region are called bending region, and the bending points on the theoretical orthodontic archwire space curve in the n bending regions are sorted according to the angular distance ratio E u The value range of u is u=1, 2, 3, …, U, and the angular distance ratio E u is a quantitative description of the bending effect of the Uth bending point; the actual orthodontic archwire space curve is obtained by bending the bending region divided according to the theoretical orthodontic archwire space curve and the sorted bending points, and the actual orthodontic archwire space curve contains n actual orthodontic archwire bending region space curves; it is provided that the Tth theoretical orthodontic archwire bending region space curve of the theoretical orthodontic archwire space curve is m P T , and the value range of T is T=1, 2, 3, …, n; The Tth theoretical orthodontic archwire bending field spatial curve of the actual orthodontic archwire spatial curve is denoted as m P T ' An O-XYZ three-dimensional orthodontic archwire bending domain error evaluation coordinate system w is established, and the theoretical orthodontic archwire bending domain spatial curve bending point information set is calculated and input The value range of λ, u and μ is 1≤λ≤u≤μ≤U, wherein: is the X-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Y-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the Z-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, is the bending angle of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the left end point of the theoretical orthodontic archwire bending domain spatial curve is A T , the right end point of the theoretical orthodontic archwire bending domain spatial curve is B T , the midpoint of the line segment between A T and B T is T O, the spatial transformation of the theoretical orthodontic archwire spatial bending domain curve is as follows: the point T O coincides with the origin O of the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, the left end point A T of the theoretical orthodontic archwire bending domain spatial curve is located on the negative half of the X-axis, the right end point B T of the theoretical orthodontic archwire bending domain spatial curve is located on the positive half of the X-axis, and the theoretical orthodontic archwire bending domain spatial curve has no intersection with the Z-axis; the theoretical orthodontic archwire bending domain spatial curve is rotated clockwise around the X-axis until the theoretical orthodontic archwire bending domain spatial curve intersects with the Z-axis, and the position and posture of the theoretical orthodontic archwire bending domain spatial curve after spatial transformation is set as the position and posture in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and the bending point information set P T of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation is calculated and input λ P T , …, u P T …, μ P T}, is the position and posture information of the u-th bending point of the theoretical orthodontic archwire bending domain spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, wherein: u x is the X-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending space curve in the three-dimensional orthodontic archwire bending space error evaluation coordinate system w after translation and rotation, u y is the Y-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending space curve in the three-dimensional orthodontic archwire bending space error evaluation coordinate system w after translation and rotation, u z is the Z-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending space curve in the three-dimensional orthodontic archwire bending space error evaluation coordinate system w after translation and rotation, is the bending angle of the u-th bending point of the theoretical orthodontic archwire bending space curve in the three-dimensional orthodontic archwire bending space error evaluation coordinate system w after translation and rotation, Computing and inputting the actual orthodontic archwire bending field spatial curve bending point information set is the pose information of the u-th bending point of the actual orthodontic archwire bending field spatial curve relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, wherein: is the X-axis coordinate of the u-th bending point of the actual orthodontic archwire bending field spatial curve relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, is the Y-axis coordinate of the u-th bending point of the actual orthodontic archwire bending field spatial curve relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, is the Z-axis coordinate of the u-th bending point of the actual orthodontic archwire bending field spatial curve relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, is the bending angle of the u-th bending point of the actual orthodontic archwire bending field spatial curve in the three-dimensional orthodontic archwire bending field error evaluation coordinate system after translation and rotation; the left end point of the actual orthodontic archwire bending field spatial curve is A' T , the right end point of the actual orthodontic archwire bending field spatial curve is B' T , the midpoint of the line segment between A' T and B' T is O' T O', and the actual orthodontic archwire bending field spatial curve is subjected to spatial transformation: let the point T O' coincide with the origin O of the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, the left end point A' T of the actual orthodontic archwire bending field spatial curve is located on the negative half of the X-axis, the right end point B' T of the actual orthodontic archwire bending field spatial curve is located on the positive half of the X-axis, and the actual orthodontic archwire bending field spatial curve has no intersection with the Z-axis; let the actual orthodontic archwire bending field spatial curve rotate clockwise around the Z-axis until the actual orthodontic archwire bending field spatial curve intersects with the Z-axis, and the pose of the actual orthodontic archwire bending field spatial curve after spatial transformation is set as the pose in the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, and the bending point information set P T ' of the actual orthodontic archwire bending field spatial curve after setting is calculated and input λ P T ',…, u P T '…, μ P T '}, is the position information of the u-th bending point of the actual orthodontic archwire bending field spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, wherein: u x' is the X-axis coordinate of the u-th bending point of the actual orthodontic archwire bending field spatial curve after translation and rotation relative to the three-dimensional orthodontic archwire bending field error evaluation coordinate system w, u y' is the Y-axis coordinate of the u-th bending point of the actual orthodontic archwire bending space curve after translation and rotation relative to the three-dimensional orthodontic archwire bending space error evaluation coordinate system w, u z' is the Z-axis coordinate of the u-th bending point of the actual orthodontic archwire bending space curve after translation and rotation relative to the three-dimensional orthodontic archwire bending space error evaluation coordinate system w, is the bending angle of the u-th bending point of the actual orthodontic archwire bending space curve in the three-dimensional orthodontic archwire bending space error evaluation coordinate system after translation and rotation; define the bending space degree with the symbol D P , the bending space degree represents the distance between the two end points of the orthodontic archwire bending space curve; the bending space degree of the theoretical orthodontic archwire bending space curve P T is defined as The bending space degree of the theoretical orthodontic archwire bending space curve P T is calculated as The bending space degree of the actual orthodontic archwire bending space curve P T ' is defined as The bending space degree of the actual orthodontic archwire bending space curve P T ' is calculated as Step two, determine the bending field error of the actual orthodontic arch wire bending field spatial curve The bending field degree error is defined as the difference between the actual bending field curve and the ideal bending field curve, and is denoted by the symbol |δ|. The bending field degree error of the actual orthodontic archwire bending field spatial curve is defined as The upper limit value of the bending field degree error of the actual orthodontic archwire bending field spatial curve is defined as δ max ; |δ' T |≤δ max |δ' If |δ T |≤δ max is true, it indicates that the bending degree error of the bending domain space curve P T of the actual orthodontic archwire is within the limited range, and then jump to step three. If |δ T |≤δ max is not true, indicating that the bending degree error of the actual orthodontic archwire bending space curve P T ' is not within the limited range, output: the bending degree error of the actual orthodontic archwire bending space curve P T ' is not within the limited range, the orthodontic archwire bending space is unqualified, and the evaluation of the orthodontic archwire bending space is completed. Step three, calculate the bending point standard degree of the theoretical orthodontic arch wire bending field spatial curve, the angle area bending error of the actual orthodontic arch wire bending field spatial curve, and the total angle area bending error: In XOZ plane, taking O point as the starting point, taking X axis negative half axis as the beginning, taking X axis positive half axis as the end, taking N+1 rays h i , i value range is i = 1, 2, 3, …, N+1, the upper half plane of XOZ plane containing Z axis positive half axis is divided into N parts, the rays h i Intersect the actual orthodontic archwire bending domain spatial curve P T At a i point, connect O point, a i point, make the rays h i In YOa i Plane clockwise rotation, intersect the actual orthodontic archwire bending domain spatial curve P T ' and point b i , connect O point, b i point, calculate the distance from O point to a i Point to get the set Calculate the distance from O point to b i Point to get the set A bending angle region is defined, denoted by C, which represents the spatial surface formed by the two adjacent rays and the same orthodontic archwire bending field spatial curve; it is stipulated that the bending angle region formed by the two adjacent rays h i-1 , h i and the same theoretical orthodontic archwire bending field spatial curve is denoted by C i , the bending angle region formed by the two adjacent rays h i-1 , h i and the same actual orthodontic archwire bending field spatial curve is denoted by C' i . Define the angle bending regime, using the symbol A. C The term "corner bending regime" refers to a quantitative description of the orthodontic archwire bending effect that forms a bending corner, specifying the theoretical orthodontic archwire bending domain space curve P. T Upper bend corner area C i Corner bending system Actual orthodontic archwire bending domain space curve P T 'Upper Curve Corner Area C' i Corner bending system The theoretical orthodontic archwire bending space curve P was calculated. T The corner bending system of the upper corner region is obtained by set. The actual orthodontic archwire bending space curve P was calculated. T The corner bending system of the upper corner area is collected. The bending point standard degree is quantitatively described by a symbol V st The bending point standard degree is quantitatively described by a symbol V The bending point standard degree is quantitatively described by a symbol V The angular zone bending error is defined with the symbol ΔA C , which represents the absolute value of the difference between the angular zone bending degree of the angular zone on the ideal orthodontic archwire bending zone spatial curve and the angular zone bending degree of the corresponding angular zone on the actual orthodontic archwire bending zone spatial curve; it is stipulated that the angular zone bending error of the angular zone C' i on the actual orthodontic archwire bending zone spatial curve is calculated to obtain the angular zone bending error of the angular zone C' i on the actual orthodontic archwire bending zone spatial curve P T , and the angular zone bending error set of the angular zone on the actual orthodontic archwire bending zone spatial curve P The total angular zone bending error of the bending zone is defined by the symbol A P , which represents that the total angular zone bending error of the bending zone is the sum of the angular zone bending errors of the bending zone; the total angular zone bending error of the actual orthodontic archwire bending zone spatial curve P T is defined by the symbol A , which represents that the total angular zone bending error of the actual orthodontic archwire bending zone spatial curve P T is the sum of the angular zone bending errors of the actual orthodontic archwire bending zone spatial curve P Step four, calculate the relative standard degree of the bending point of the theoretical orthodontic arch wire spatial curve, and determine the relative angle area bending error of the orthodontic arch wire bending field spatial curve Define the relative standard of the bending point using the symbol V. u The relative standard of the bending point is defined as the ratio of the quantitative description of the bending effect of the orthodontic archwire bending point to the quantitative description of the standard requirement for the bending effect of the orthodontic archwire bending point; the relative standard of the theoretical orthodontic archwire bending point is specified. Since no bending is required at the first bending point, the relative standard degree of the bending point of the orthodontic archwire at the first bending point is defined as 0. The relative standard degree of the bending points on the theoretical orthodontic archwire bending domain curve is calculated to obtain the set {V1, V2, V3, ..., V...}. U }; The bending range of the bending point u is defined as the orthodontic archwire between the bending point u and the bending point u-1; When the angle region C i Boundary line h i When the bending point u is within the bending range, then the corner area C i Within the bending range of bending point u; define the bending error in the relative angle zone, denoted by the symbol. The relative angle bending error indicates a relative standardization of the orthodontic archwire bending error based on the accuracy requirements of the orthodontic archwire bending point; it specifies the relative angle bending error of the actual orthodontic archwire bending domain space curve. The actual orthodontic archwire bending space curve P was calculated. T The set of relative angle bending errors in the 'corner area' The upper limit of the bending error in the relative angle zone of the orthodontic archwire bending area is specified as A. max ; determining whether the condition is met; If is true, it indicates that the relative angular zone bending error of the angular zone of the actual orthodontic archwire bending domain spatial curve P T is within the limited range, then jump to step five; If is not true, it means that the actual orthodontic archwire bending domain spatial curve P T is not within the limited range, and the output is: the actual orthodontic archwire bending domain spatial curve P T is not within the limited range, the orthodontic archwire bending domain is unqualified, and the evaluation of the orthodontic archwire bending domain is completed. Step five, determine the total angle area bending error: The total angular zone bending error upper limit of the orthodontic archwire bending zone is specified as determining whether the condition is met; If is established, it indicates that the actual orthodontic arch wire bending domain space curve P T total angular zone bending error of the upper angular zone Within the limited range, output: the bending domain degree error, the relative angular zone bending error and the total angular zone bending error of the actual orthodontic arch wire bending domain are within the limited range, the bending domain of the orthodontic arch wire is qualified, and the bending domain evaluation of the orthodontic arch wire is completed; If Not, the actual orthodontic arch wire bending domain space curve P T ' the total angular zone bending error of the upper angular zone Not in the limited range, output: the actual orthodontic arch wire bending domain space curve P T ' the total angular zone bending error of the upper angular zone Not in the limited range, the bending domain of the orthodontic arch wire is unqualified, and the bending domain evaluation of the orthodontic arch wire is completed.

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