A method for evaluating orthodontic archwire bending domain based on bending domain nodes

Abstract

The invention discloses an orthodontic arch wire bending domain evaluation method based on bending domain nodes, which relates to the field of orthodontic arch wire bending evaluation. When the orthodontic arch wire bending domain is evaluated according to the bending effect requirements of the orthodontic arch wire bending points, based on the bending domain space curve of the theoretical orthodontic arch wire curve, the actual orthodontic arch wire bending domain space curve and the adjusted actual orthodontic arch wire bending domain space curve in the bending domain evaluation space coordinate system, after judging the domain error, the bending domain node error and the relative total bending domain node error of the actual orthodontic arch wire bending domain space curve are judged in combination with the bending domain bending degree standard value of the theoretical orthodontic arch wire space curve and the bending domain relative bending degree comparison, thereby establishing an orthodontic arch wire bending domain evaluation method based on bending domain nodes. The present invention takes the orthodontic arch wire bending domain as the evaluation target, and uses the domain error, node error and relative domain bending error as evaluation indicators, so as to evaluate the bending effect of the orthodontic arch wire bending domain and avoid the problem that the orthodontic arch wire bending domain cannot meet the orthodontic effect requirements provided by the orthodontic arch wire bending domain required for tooth correction.

Description

Technical Field

[0001] The patent of this invention relates to an orthodontic arch wire bending domain evaluation method based on bending domain nodes, which belongs to the technical field of orthodontic arch wire bending evaluation. Background Art

[0002] Malocclusion is the third largest oral disease that threatens human health and has a high incidence rate. In modern oral medicine, fixed correction is a common and effective orthodontic treatment method, and the bending of orthodontic archwires is the key to fixed correction technology. In recent years, deeply influenced by digital manufacturing technology, traditional oral manufacturing and processing technology is undergoing revolutionary changes. The field of orthodontics has also benefited from digital technology, and the processing of archwires in orthodontic appliances is moving towards digitalization.

[0003] In order to improve the bending efficiency, bending accuracy and orthodontic effect, the bending area is divided according to the angular distance ratio of each bending point on the orthodontic arch wire before bending the orthodontic arch wire, and the orthodontic arch wire with divided bending area is bent by an orthodontic arch wire bending robot. The bending of the divided bending area by the robot greatly improves the bending accuracy compared with the traditional manual bending by doctors, but it is still unavoidable to have a certain bending error, and the existing bending error may affect the actual correction effect of the orthodontic arch wire. Therefore, it is very necessary to evaluate the bending area of ​​the orthodontic arch wire. The study found that the current evaluation of the bending area of ​​the orthodontic arch wire is based on the doctor's The orthodontic arch wire bending domain is evaluated based on experience, which is referred to as the empirical evaluation method. The empirical evaluation method does not evaluate the bending effect of the orthodontic arch wire bending domain through standard quantities, and cannot provide accurate feedback on the effect of the bending domain division. In addition, the orthodontic arch wire determined to be qualified after the empirical evaluation may still not achieve the expected correction effect, which seriously affects the patient's treatment and rehabilitation, causing unnecessary losses, and at the same time hinders the application of orthodontic arch wire bending robots in the correction of malocclusion. In summary, the current field of orthodontic arch wire bending evaluation technology needs an evaluation method that can evaluate the bending effect of the orthodontic arch wire bending domain with standard quantities. Summary of the invention

[0004] In view of the above problems, the present invention proposes an orthodontic arch wire bending domain evaluation method based on bending domain nodes, which solves the problem that the current orthodontic arch wire bending domain evaluation technology field lacks standard quantities for orthodontic arch wire bending domain evaluation, avoids empirical judgment on orthodontic arch wire bending domain evaluation, and effectively improves the accuracy of orthodontic arch wire bending domain evaluation.

[0005] A method for evaluating orthodontic archwire bending domain based on bending domain nodes, wherein the specific implementation process of the method is as follows:

[0006] Step 1: Import theoretical orthodontic archwire bending domain data and actual orthodontic archwire bending domain data:

[0007] 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 required by the patient is calculated based on the bending point density per unit sphere. Based on the theoretical orthodontic archwire space curve, n spherical domains with equal radius are divided. It is a quantitative description of the density of the u-th bending point on the theoretical orthodontic archwire space curve within a unit sphere. The divided sphere with equal radius and the orthodontic archwire curve within the sphere are called bending domains. u The bending points on the theoretical orthodontic archwire space curve in the n bending domains are sorted by size, and the value range of u is u=1,2,3,…,U, and the angular distance ratio of the bending points is E u is a quantitative description of the bending complexity of the u-th bending point; the orthodontic archwire is bent according to the bending domain divided by the theoretical orthodontic archwire space curve and the sorted bending points to obtain the actual orthodontic archwire space curve, and the actual orthodontic archwire space curve contains n actual orthodontic archwire bending domain space curves; the T-th theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve is recorded as m P T , the value range of T is T = 1, 2, 3, ..., n; the actual orthodontic archwire space curve and the Tth theoretical orthodontic archwire bending domain space curve are denoted as m P T '; Establish the 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 is the position 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, and the value range of λ, u, and μ is 1≤λ≤u≤μ≤U, where: is 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, is 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, is 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, 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 end point of the theoretical orthodontic archwire bending domain space curve is B T , A T and B T The midpoint of the line between To, perform spatial transformation on the theoretical orthodontic archwire space 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 end point A of the theoretical orthodontic archwire bending domain space curve T Located on the negative half axis of the y-axis, the right end point B of the theoretical orthodontic archwire bending domain space curve T Located on the positive half axis of the y-axis, and the theoretical orthodontic archwire bending domain space curve has no intersection with the x-axis; the theoretical orthodontic archwire bending domain space curve is rotated clockwise around the y-axis until an intersection occurs between the theoretical orthodontic archwire bending domain space curve and the x-axis, the position of the theoretical orthodontic archwire bending domain space curve after spatial transformation is set as the position 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 space curve after translation and rotation 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 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: u x is the x-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain space curve after translation and rotation in 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 theoretical orthodontic archwire bending domain space curve after translation and rotation in 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 theoretical orthodontic archwire bending domain space 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 space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system;

[0008] Calculate and input the actual orthodontic archwire bending domain space curve bending point information set is the position information of the u-th bending point of the actual orthodontic archwire bending domain space curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, where: is the x-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain space 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 space 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 space 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 space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the left endpoint of the actual orthodontic archwire bending domain space curve is A' T The right end point of the actual orthodontic archwire bending space curve is B' T , A' T and B' T The midpoint of the line between T o', perform spatial transformation on the actual orthodontic archwire bending domain space 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 end point A' of the actual archwire space curve T Located on the negative half axis of the y-axis, the right end point B' of the actual orthodontic archwire bending domain space curve T Located on the positive half axis of the y-axis, and the actual orthodontic archwire bending domain space curve has no intersection with the x-axis; the actual orthodontic archwire bending domain space curve is rotated clockwise around the y-axis until the actual orthodontic archwire bending domain space curve intersects with the x-axis, and the position of the actual orthodontic archwire bending domain space curve after spatial transformation is set as the position in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and the actual orthodontic archwire bending domain space curve bending point information set P′ after 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 space curve after translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, where: u x' is the x-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain space curve after 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 space curve after 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 space curve after translation and rotation relative to 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 actual orthodontic archwire bending domain space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the bending domain degree is defined and symbolized by D PThe bending range represents the distance between the two end points of the orthodontic archwire bending space curve; the theoretical orthodontic archwire bending space curve P is specified. T The bending degree is recorded as The theoretical orthodontic archwire bending domain space curve P is calculated T Bending range Specify the actual orthodontic archwire bending domain space curve P T The bending degree of ' is recorded as The actual orthodontic archwire bending domain space curve P is calculated T 'Bending range Adjust the actual orthodontic archwire bending domain space curve P T 'The two endpoints A T ', B T The distance between them makes the actual orthodontic archwire bending domain space curve P T 'Bending range Compared with the theoretical orthodontic archwire bending domain space curve P T Bending range Equal, that is The actual orthodontic archwire bending space curve after adjusting the bending range is recorded as P T ”,P T The left endpoint of " is denoted as A T ", the right endpoint is recorded as B T ", the bending degree is recorded as Calculate and input the actual orthodontic archwire bending domain space curve bending point information set P″ after setting and adjusting the bending domain T ={ λ P″ T , …, u P″ T …, μ P″ T}, It is the position information of the u-th bending point of the actual orthodontic archwire bending space curve relative to the three-dimensional orthodontic archwire bending error evaluation coordinate system w after translation, rotation and adjustment of the bending range, where: u x” is the x-axis coordinate of the u-th bending point on the actual orthodontic archwire bending space curve after translation, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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 error evaluation coordinate system after translation, rotation and adjustment of the bending degree;

[0009] Step 2: Determine the bending error

[0010] The bending error of the actual orthodontic archwire bending space curve The bending error of the actual orthodontic archwire bending space curve is the error of the theoretical orthodontic archwire bending space curve P. T Bending range and the actual orthodontic archwire bending domain space curve P′ T Bending range The absolute value of the difference is used to calculate the actual orthodontic archwire bending domain space curve P′ T Bending domain error |δ' T |;

[0011] The upper limit of the domain error is specified as δ max , judge |δ T '|<δ max Is it established?

[0012] Specifically:

[0013] If |δ′ T |<δ max The actual orthodontic archwire bending domain space curve P after adjustment is established. T " and the actual orthodontic archwire bending domain space curve P T ' are equivalent, jump to step 3;

[0014] If |δ T '|<δ max Not true; this means that the actual orthodontic arch wire cannot be further evaluated using this method, and the evaluation of the bending domain of the orthodontic arch wire is completed;

[0015] Step 3: Calculate the node bending error of the actual orthodontic archwire bending domain space curve and the total node bending error of the bending domain

[0016] Will Split into N-1 equal length parts, get N nodes, and make ray Y at each node in the XOZ plane i Perpendicular to the X axis, the ray Y i Rotate clockwise around the X axis, ray Y i Intersection theory orthodontic archwire bending domain space curve P T At point Ray Y i Actual orthodontic archwire bending domain space curve P T "At point point, the value range of i is i=1, 2, 3, ..., N; define the node bending error, symbol L ab The node bending error represents the difference between the same ray and the actual orthodontic archwire space curve P T The distance between the intersection of the theoretical orthodontic archwire bending domain space curve and the intersection of the theoretical orthodontic archwire bending domain space curve P T Node a i Node bending error in Yes The coordinate value of Yes The coordinate value of Calculate the actual orthodontic archwire bending domain space curve P T The node bending error of the upper node is obtained to obtain the P T "The node bending error set of the upper node

[0017] Define the total node bending error in the bending domain, represented by the symbol S. The total node bending error in the bending domain represents the sum of the node errors of the nodes on the orthodontic archwire bending domain space curve. The actual orthodontic archwire bending domain space curve P is specified. T "The total node bending error in the bending domain The actual orthodontic archwire bending domain space curve P is calculated T "The total node bending error in the bending domain

[0018] Step 4: Determine the bending error of nodes on the actual orthodontic archwire bending domain space curve

[0019] The upper limit of the node bending error of the node on the orthodontic archwire bending domain space curve is specified as L max ,judge Is it established?

[0020] Specifically:

[0021] like The actual orthodontic archwire bending domain space curve P T If the node bending error of the upper node of " is within the specified range, jump to step 5;

[0022] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T If the node bending error of the upper node of " is not within the specified range, then the output is: the actual orthodontic archwire bending domain space curve P T "The node bending error of the upper node is not within the specified range, the orthodontic arch wire bending domain is unqualified, and the orthodontic arch wire bending domain evaluation is completed;

[0023] Step 5: Calculate the total node bending error of the relative bending domain of the actual orthodontic archwire bending domain space curve

[0024] Define the bending system domain bending system, use the symbol V P It indicates that the bending domain bending system is a quantitative description of the complexity of the bending domain space curve of the orthodontic archwire. The theoretical orthodontic archwire bending domain space curve is defined as the Tth theoretical orthodontic archwire bending domain space curve P T Bending system Where (∑E u ) T The theoretical orthodontic archwire bending domain space curve is represented by the Tth theoretical orthodontic archwire bending domain space curve P T The sum of the angular distance ratios of the upper bending points; calculating the bending domain bending system of each theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve, and obtaining the bending domain bending system set of each theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve

[0025] Define the standard value of the bending system in the bending domain, using the symbol V min It indicates that the standard value of bending system in bending domain is a quantitative description of the standard value of the complexity of the bending of the space curve in the bending domain of orthodontic archwires. The bending standard value V of the bending domain space curve of the theoretical orthodontic archwire is calculated min ;

[0026] Define the relative bending ratio of the bending domain, using the symbol C P The relative bending system ratio of the bending domain represents the ratio of the bending system of the bending domain space curve of the orthodontic archwire to the standard value of the bending system of the bending domain space curve of the orthodontic archwire; the theoretical orthodontic archwire bending domain space curve P T The bending range is relatively The theoretical orthodontic archwire bending domain space curve P is calculated T The bending range is relatively

[0027] Define the total node bending error in the relative bending domain, symbolized by G P The relative bending domain total node bending error indicates that the relative standardization of the bending domain total node bending error of the orthodontic archwire bending domain space curve is performed based on the orthodontic archwire bending domain space curve with the standard value of the bending domain bending system, and the actual orthodontic archwire bending domain space curve P is specified. T "Relative bending domain total node bending error The actual orthodontic archwire bending domain space curve P is calculated T "Relative bending domain total node bending error

[0028] Step 6: Determination of the total node bending error in the relative bending domain of the actual orthodontic archwire bending domain space curve

[0029] The upper limit of the total node bending error in the relative bending domain of the orthodontic archwire bending domain space curve is G. max ,judge Is it established?

[0030] Specifically:

[0031] like The actual orthodontic archwire bending domain space curve P T "The total node bending error of the relative bending domain is within the specified range, then output: the node bending error of the actual orthodontic arch wire bending domain space curve and the total node bending error of the relative bending domain are both within the specified range, the orthodontic arch wire bending domain is qualified, and the orthodontic arch wire bending domain evaluation is completed;

[0032] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T The total node bending error of the relative bending domain of " is not within the specified range, output: the actual orthodontic archwire bending domain space curve P T "The total node bending error of the relative bending domain is not within the specified range, the bending domain of the orthodontic arch wire is unqualified, and the bending domain evaluation of the orthodontic arch wire is completed.

[0033] The beneficial effects of the present invention are:

[0034] 1. In the process of evaluating the bending domain of orthodontic archwires, the present invention proposes the concept of bending domain nodes. By proposing the bending domain nodes, the bending effect of the bending domain nodes of the actual orthodontic archwire bending domain space curve is quantitatively described, and the bending domain node error upper limit L is set according to the bending effect requirements of the bending domain nodes. max , thereby limiting the variation range of the bending effect of the actual orthodontic archwire bending domain node of the space curve, making it convenient to evaluate the bending effect of the actual orthodontic archwire bending domain space curve in the next step.

[0035] 2. After completing the evaluation of the bending effect of the bending domain nodes of the actual orthodontic arch wire bending domain space curve, the present invention proposes the concept of the relative bending domain total node error. By proposing the relative bending domain total node error, the bending effect of the actual orthodontic arch wire bending domain space curve can be quantitatively described, and the upper limit G of the relative bending domain total node error is set according to the bending effect requirements of the actual orthodontic arch wire bending domain space curve. max , thereby realizing the evaluation of the bending effect of the actual orthodontic archwire bending domain spatial curve.

[0036] 3. Compared with the invention patent "A method for evaluating orthodontic archwires in bending domains based on segmentation of bending domain angles" applied by the inventor on the same day, although both methods are applicable to the evaluation of the bending domain of orthodontic archwires, the method mentioned in "A method for evaluating orthodontic archwires in bending domains based on segmentation of bending domain angles" focuses on the different bending effects required for each bending point, and then on the relative standard degree V of each bending point. u The relative angular zone bending error and total angular zone bending error of the actual orthodontic archwire bending domain space curve are calculated in the form of continuous regions to evaluate the orthodontic archwire bending domain. This method 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 evaluates the bending effect requirements of the bending domain according to the relative bending system ratio C of the bending domain. P The bending domain node error of the bending domain nodes of the orthodontic arch wire bending domain and the relative bending domain total node error are calculated to evaluate the orthodontic arch wire bending domain. The two methods have different application requirements when evaluating the orthodontic arch wire bending domain. Therefore, this method is proposed to compensate for each other, thereby improving the series of methods for evaluating the orthodontic arch wire bending domain. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] For ease of explanation, the present invention is described in detail with reference to the following specific implementations and the accompanying drawings.

[0038] Figure 1 It is a flow chart of an orthodontic archwire bending domain evaluation method based on bending domain nodes;

[0039] Figure 2 It is a schematic diagram of the division of the space curve bending domain of orthodontic archwire;

[0040] Figure 3 It is a schematic diagram of the actual orthodontic archwire bending domain space curve bending domain degree adjustment;

[0041] Figure 4 Schematic diagram of the node division method of the theoretical orthodontic archwire bending domain space curve and the actual orthodontic archwire bending domain space curve

[0042] Figure 5 It is a schematic diagram of the node division of the theoretical orthodontic archwire and the actual orthodontic archwire bending domain; DETAILED DESCRIPTION

[0043] In order to make the purpose, technical solutions and advantages of the present invention more clear, the present invention is described below through the specific embodiments shown in the accompanying drawings, but it should be understood that these descriptions are only exemplary and are not intended to limit the scope of the present invention. In addition, in the following description, the description of well-known structures and technologies is omitted to avoid unnecessary confusion of the concepts of the present invention.

[0044] Example 1: Figure 1 , Figure 2 , Figure 3 , Figure 4 As shown, this specific implementation adopts the following technical solution: an orthodontic archwire bending domain evaluation method based on bending domain nodes, and the specific implementation process of the method is:

[0045] Step 1: Import theoretical orthodontic archwire bending domain data and actual orthodontic archwire bending domain data:

[0046] 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 required by the patient is calculated based on the bending point density per unit sphere. Based on the theoretical orthodontic archwire space curve, n spherical domains with equal radius are divided. It is a quantitative description of the density of the u-th bending point on the theoretical orthodontic archwire space curve within a unit sphere. The divided sphere with equal radius and the orthodontic archwire curve within the sphere are called bending domains. u The bending points on the theoretical orthodontic archwire space curve in the n bending domains are sorted by size, and the value range of u is u=1,2,3,…,U, and the angular distance ratio of the bending points is E u is a quantitative description of the bending complexity of the u-th bending point; the orthodontic archwire is bent according to the bending domain divided by the theoretical orthodontic archwire space curve and the sorted bending points to obtain the actual orthodontic archwire space curve, and the actual orthodontic archwire space curve contains n actual orthodontic archwire bending domain space curves; the T-th theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve is recorded as m P T , the value range of T is T = 1, 2, 3, ..., n; the actual orthodontic archwire space curve and the Tth theoretical orthodontic archwire bending domain space curve are denoted as m P T '; Establish the 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 is the position 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, and the value range of λ, u, and μ is 1≤λ≤u≤μ≤U, where: is 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, is 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, is 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, 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 end point of the theoretical orthodontic archwire bending domain space curve is B T , A T and B T The midpoint of the line between T o, perform spatial transformation on the theoretical orthodontic archwire space 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 end point A of the theoretical orthodontic archwire bending domain space curve T Located on the negative half axis of the y-axis, the right end point B of the theoretical orthodontic archwire bending domain space curve T Located on the positive half axis of the y-axis, and the theoretical orthodontic archwire bending domain space curve has no intersection with the x-axis; the theoretical orthodontic archwire bending domain space curve is rotated clockwise around the y-axis until an intersection occurs between the theoretical orthodontic archwire bending domain space curve and the x-axis, the position of the theoretical orthodontic archwire bending domain space curve after spatial transformation is set as the position 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 space curve after translation and rotation 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 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: u x is the x-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain space curve after translation and rotation in 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 theoretical orthodontic archwire bending domain space curve after translation and rotation in 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 theoretical orthodontic archwire bending domain space 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 space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system;

[0047] Calculate and input the actual orthodontic archwire bending domain space curve bending point information set is the position information of the u-th bending point of the actual orthodontic archwire bending domain space curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, where: is the x-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain space 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 space 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 space 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 space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the left endpoint of the actual orthodontic archwire bending domain space curve is A' T The right end point of the actual orthodontic archwire bending space curve is B' T , A' T and B' T The midpoint of the line between T o', perform spatial transformation on the actual orthodontic archwire bending domain space 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 end point A' of the actual archwire space curve T Located on the negative half axis of the y-axis, the right end point B' of the actual orthodontic archwire bending domain space curve T Located on the positive half axis of the y-axis, and the actual orthodontic archwire bending domain space curve has no intersection with the x-axis; the actual orthodontic archwire bending domain space curve is rotated clockwise around the y-axis until the actual orthodontic archwire bending domain space curve intersects with the x-axis, and the position of the actual orthodontic archwire bending domain space curve after spatial transformation is set as the position in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and the actual orthodontic archwire bending domain space curve bending point information set P′ after 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 space curve after translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, where: u x' is the x-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain space curve after translation and rotation relative to 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 actual orthodontic archwire bending domain space curve after 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 space curve after translation and rotation relative to 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 actual orthodontic archwire bending domain space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the bending domain degree is defined and symbolized by D P The bending range represents the distance between the two end points of the orthodontic archwire bending space curve; the theoretical orthodontic archwire bending space curve P is specified. T The bending degree is recorded as The theoretical orthodontic archwire bending domain space curve P is calculated T Bending range Specify the actual orthodontic archwire bending domain space curve P T The bending degree of ' is recorded as The actual orthodontic archwire bending domain space curve P is calculated T 'Bending range Adjust the actual orthodontic archwire bending domain space curve P T 'The two endpoints A T ', B T The distance between them makes the actual orthodontic archwire bending domain space curve P T 'Bending range Compared with the theoretical orthodontic archwire bending domain space curve P T Bending range Equal, that is The actual orthodontic archwire bending space curve after adjusting the bending range is recorded as P T ”,P T The left endpoint of " is denoted as A T ", the right endpoint is recorded as B T ", the bending degree is recorded as Calculate and input the actual orthodontic archwire bending domain space curve bending point information set P″ after setting and adjusting the bending domain T ={ λ P″ T , …, u P″ T …, μ P″ T}, It is the position information of the u-th bending point of the actual orthodontic archwire bending space curve relative to the three-dimensional orthodontic archwire bending error evaluation coordinate system w after translation, rotation and adjustment of the bending range, where: ux” is the x-axis coordinate of the u-th bending point on the actual orthodontic archwire bending space curve after translation, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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 error evaluation coordinate system after translation, rotation and adjustment of the bending degree;

[0048] Step 2: Determine the bending error

[0049] The bending error of the actual orthodontic archwire bending space curve The bending error of the actual orthodontic archwire bending space curve is the error of the theoretical orthodontic archwire bending space curve P. T Bending range and the actual orthodontic archwire bending domain space curve P′ T Bending range The absolute value of the difference is used to calculate the actual orthodontic archwire bending domain space curve P T 'Bending domain error |δ' T |;

[0050] The upper limit of the domain error is specified as δ max , judge |δ T '|<δ max Is it established?

[0051] Specifically:

[0052] If |δ T '|<δ max The actual orthodontic archwire bending domain space curve P after adjustment is established. T " and the actual orthodontic archwire bending domain space curve P T ' are equivalent, jump to step 3;

[0053] If |δ T '|<δ max Not true; this means that the actual orthodontic arch wire cannot be further evaluated using this method, and the evaluation of the bending domain of the orthodontic arch wire is completed;

[0054] Step 3: Calculate the node bending error of the actual orthodontic archwire bending domain space curve and the total node bending error of the bending domain

[0055] Will Split into N-1 equal length parts, get N nodes, and make ray Y at each node in the XOZ plane i Perpendicular to the X axis, the ray Y i Rotate clockwise around the X axis, ray Y i Intersection theory orthodontic archwire bending domain space curve P T At point Ray Y i Actual orthodontic archwire bending domain space curve P T "At point point, the value range of i is i=1, 2, 3, ..., N; define the node bending error, symbol L ab The node bending error represents the difference between the same ray and the actual orthodontic archwire space curve P T The distance between the intersection of the theoretical orthodontic archwire bending domain space curve and the intersection of the theoretical orthodontic archwire bending domain space curve P T Node a i Node bending error in Yes The coordinate value of Yes The coordinate value of Calculate the actual orthodontic archwire bending domain space curve P T The node bending error of the upper node is obtained to obtain the P T "The node bending error set of the upper node

[0056] Define the total node bending error in the bending domain, represented by the symbol S. The total node bending error in the bending domain represents the sum of the node errors of the nodes on the orthodontic archwire bending domain space curve. The actual orthodontic archwire bending domain space curve P is specified. T "The total node bending error in the bending domain The actual orthodontic archwire bending domain space curve P is calculated T "The total node bending error in the bending domain

[0057] Step 4: Determine the bending error of nodes on the actual orthodontic archwire bending domain space curve

[0058] The upper limit of the node bending error of the node on the orthodontic archwire bending domain space curve is specified as L max ,judge Is it established?

[0059] Specifically:

[0060] like The actual orthodontic archwire bending domain space curve P T If the node bending error of the upper node of " is within the specified range, jump to step 5;

[0061] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T If the node bending error of the upper node of " is not within the specified range, then the output is: the actual orthodontic archwire bending domain space curve P T "The node bending error of the upper node is not within the specified range, the orthodontic arch wire bending domain is unqualified, and the orthodontic arch wire bending domain evaluation is completed;

[0062] Step 5: Calculate the total node bending error of the relative bending domain of the actual orthodontic archwire bending domain space curve

[0063] Define the bending system domain bending system, use the symbol V P It indicates that the bending domain bending system is a quantitative description of the complexity of the bending domain space curve of the orthodontic archwire. The theoretical orthodontic archwire bending domain space curve is defined as the Tth theoretical orthodontic archwire bending domain space curve P T Bending system Where (∑E u ) T The theoretical orthodontic archwire bending domain space curve is represented by the Tth theoretical orthodontic archwire bending domain space curve P T The sum of the angular distance ratios of the upper bending points; calculating the bending domain bending system of each theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve, and obtaining the bending domain bending system set of each theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve

[0064] Define the standard value of the bending system in the bending domain, using the symbol V min It indicates that the standard value of bending system in bending domain is a quantitative description of the standard value of the complexity of the bending of the space curve in the bending domain of orthodontic archwires. The bending standard value V of the bending domain space curve of the theoretical orthodontic archwire is calculated min ;

[0065] Define the relative bending ratio of the bending domain, using the symbol C P The relative bending system ratio of the bending domain represents the ratio of the bending system of the bending domain space curve of the orthodontic archwire to the standard value of the bending system of the bending domain space curve of the orthodontic archwire; the theoretical orthodontic archwire bending domain space curve P T The bending range is relatively The theoretical orthodontic archwire bending domain space curve P is calculated T The bending range is relatively

[0066] Define the total node bending error in the relative bending domain, symbolized by G P The relative bending domain total node bending error indicates that the relative standardization of the bending domain total node bending error of the orthodontic archwire bending domain space curve is performed based on the orthodontic archwire bending domain space curve with the standard value of the bending domain bending system, and the actual orthodontic archwire bending domain space curve P is specified. T "Relative bending domain total node bending error The actual orthodontic archwire bending domain space curve P is calculated T "Relative bending domain total node bending error

[0067] Step 6: Determination of the total node bending error in the relative bending domain of the actual orthodontic archwire bending domain space curve

[0068] The upper limit of the total node bending error in the relative bending domain of the orthodontic archwire bending domain space curve is G. max ,judge Is it established?

[0069] Specifically:

[0070] like The actual orthodontic archwire bending domain space curve P T "The total node bending error of the relative bending domain is within the specified range, then output: the node bending error of the actual orthodontic arch wire bending domain space curve and the total node bending error of the relative bending domain are both within the specified range, the orthodontic arch wire bending domain is qualified, and the orthodontic arch wire bending domain evaluation is completed;

[0071] like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T The total node bending error of the relative bending domain of " is not within the specified range, output: the actual orthodontic archwire bending domain space curve P T "The total node bending error of the relative bending domain is not within the specified range, the bending domain of the orthodontic arch wire is unqualified, and the bending domain evaluation of the orthodontic arch wire is completed.

[0072] Example 2: Figure 2 , Figure 3 , Figure 4 , Figure 5 As shown in the figure, an orthodontic arch wire containing U = 25 bending points is divided into 8 spherical domains for bending by using a method for determining the radius of a spatial spherical domain division based on the density of the orthodontic arch wire bending points. u The theoretical orthodontic archwire bending domain space curve P is used for bending. 3 and the actual orthodontic archwire bending domain space curve P" 3 For example, the actual orthodontic archwire bending domain space curve P" 3The bending error is |δ″ 3 |, the node error set is The relative bending error is Assume that in step 2, determine |δ″ 3 |<|δ max | is established, step 4 is judged

[0073] Established, step six judgment If it is established, then the output is: the node error and relative domain bending error of the actual orthodontic arch wire bending domain space curve are both within the specified range, the orthodontic arch wire bending domain is qualified, and the orthodontic arch wire bending domain evaluation is completed.

Claims

1. A method for evaluating orthodontic archwire bending domain based on bending domain node division, characterized by: The specific implementation process of the method is: Step 1: Import theoretical orthodontic archwire bending domain data and actual orthodontic archwire bending domain data: 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 required by the patient is calculated based on the bending point density per unit sphere. Based on the theoretical orthodontic archwire space curve, n spherical domains with equal radius are divided. It is a quantitative description of the density of the u-th bending point on the theoretical orthodontic archwire space curve within a unit sphere. The divided sphere with equal radius and the orthodontic archwire curve within the sphere are called bending domains. u The bending points on the theoretical orthodontic archwire space curve in the n bending domains are sorted by size, and the value range of u is u=1,2,3,…,U, and the angular distance ratio of the bending points is E u is a quantitative description of the bending complexity of the u-th bending point; the orthodontic archwire is bent according to the bending domain divided by the theoretical orthodontic archwire space curve and the sorted bending points to obtain the actual orthodontic archwire space curve, and the actual orthodontic archwire space curve contains n actual orthodontic archwire bending domain space curves; the T-th theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve is recorded as m P T , the value range of T is T=1, 2, 3, ..., n; The actual orthodontic archwire space curve is specified. The Tth theoretical orthodontic archwire bending domain space curve is recorded as m P T '; Establish the 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 is the position 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, and the value range of λ, u, and μ is 1≤λ≤u≤μ≤U, where: is 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, is 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, is 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, 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 end point of the theoretical orthodontic archwire bending domain space curve is B T , A T and B T The midpoint of the line between T o, perform spatial transformation on the theoretical orthodontic archwire space 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 end point A of the theoretical orthodontic archwire bending domain space curve T Located on the negative half axis of the y-axis, the right end point B of the theoretical orthodontic archwire bending domain space curve T Located on the positive half axis of the y-axis, and the theoretical orthodontic archwire bending domain space curve has no intersection with the x-axis; the theoretical orthodontic archwire bending domain space curve is rotated clockwise around the y-axis until an intersection occurs between the theoretical orthodontic archwire bending domain space curve and the x-axis, the position of the theoretical orthodontic archwire bending domain space curve after spatial transformation is set as the position 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 space curve after translation and rotation 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 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: u x is the x-axis coordinate of the u-th bending point of the theoretical orthodontic archwire bending domain space curve after translation and rotation in 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 theoretical orthodontic archwire bending domain space curve after translation and rotation in 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 theoretical orthodontic archwire bending domain space 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 space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; Calculate and input the actual orthodontic archwire bending domain space curve bending point information set is the position information of the u-th bending point of the actual orthodontic archwire bending domain space curve relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, where: is the x-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain space 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 space 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 space 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 space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the left endpoint of the actual orthodontic archwire bending domain space curve is A' T The right end point of the actual orthodontic archwire bending space curve is B' T , A' T and B' T The midpoint of the line between T o', perform spatial transformation on the actual orthodontic archwire bending domain space 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 end point A' of the actual archwire space curve T Located on the negative half axis of the y-axis, the right end point B' of the actual orthodontic archwire bending domain space curve T Located on the positive half axis of the y-axis, and the actual orthodontic archwire bending domain space curve has no intersection with the x-axis; the actual orthodontic archwire bending domain space curve is rotated clockwise around the y-axis until the actual orthodontic archwire bending domain space curve intersects with the x-axis, and the position of the actual orthodontic archwire bending domain space curve after spatial transformation is set as the position in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, and the actual orthodontic archwire bending domain space curve bending point information set P′ after 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 space curve after translation and rotation relative to the three-dimensional orthodontic archwire bending domain error evaluation coordinate system w, where: u x' is the x-axis coordinate of the u-th bending point of the actual orthodontic archwire bending domain space curve after 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 space curve after 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 space curve after translation and rotation relative to 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 actual orthodontic archwire bending domain space curve after translation and rotation in the three-dimensional orthodontic archwire bending domain error evaluation coordinate system; the bending domain degree is defined and symbolized by D P The bending range represents the distance between the two end points of the orthodontic archwire bending space curve; the theoretical orthodontic archwire bending space curve P is specified. T The bending degree is recorded as The theoretical orthodontic archwire bending domain space curve P is calculated T Bending range Specify the actual orthodontic archwire bending domain space curve P T The bending degree of ′ is recorded as The actual orthodontic archwire bending domain space curve P is calculated T 'Bending range Adjust the actual orthodontic archwire bending domain space curve P T 'The two endpoints A T ', B T The distance between them makes the actual orthodontic archwire bending domain space curve P T 'Bending range Compared with the theoretical orthodontic archwire bending domain space curve P T Bending range Equal, that is The actual orthodontic archwire bending space curve after adjusting the bending range is recorded as P T ”,P T The left endpoint of " is denoted as A T ", the right endpoint is recorded as B T ", the bending degree is recorded as Calculate and input the actual orthodontic archwire bending domain space curve bending point information set P″ after setting and adjusting the bending domain T ={ λ P″ T , …, u P″ T …, μ P″ T }, It is the position information of the u-th bending point of the actual orthodontic archwire bending space curve relative to the three-dimensional orthodontic archwire bending error evaluation coordinate system w after translation, rotation and adjustment of the bending range, where: u x” is the x-axis coordinate of the u-th bending point on the actual orthodontic archwire bending space curve after translation, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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, rotation and adjustment of the bending range relative to the three-dimensional orthodontic archwire bending 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 error evaluation coordinate system after translation, rotation and adjustment of the bending degree; Step 2: Determine the bending error The bending error of the actual orthodontic archwire bending space curve The bending error of the actual orthodontic archwire bending space curve is the error of the theoretical orthodontic archwire bending space curve P. T Bending range and the actual orthodontic archwire bending domain space curve P T 'Bending range The absolute value of the difference is used to calculate the actual orthodontic archwire bending domain space curve P T 'Bending domain error |δ' T |; The upper limit of the domain error is specified as δ max , judge |δ T '|<δ max Is it established? Specifically: If |δ T '|<δ max The actual orthodontic archwire bending domain space curve P after adjustment is established. T " and the actual orthodontic archwire bending domain space curve P T ' are equivalent, jump to step 3; If |δ T '|<δ max Not true; this means that the actual orthodontic arch wire cannot be further evaluated using this method, and the evaluation of the bending domain of the orthodontic arch wire is completed; Step 3: Calculate the node bending error of the actual orthodontic archwire bending domain space curve and the total node bending error of the bending domain Will Split into N-1 equal length parts, get N nodes, and make ray Y at each node in the XOZ plane i Perpendicular to the X axis, the ray Y i Rotate clockwise around the X axis, ray Y i Intersection theory orthodontic archwire bending domain space curve P T At point Ray Y i Actual orthodontic archwire bending domain space curve P T "At point point, the value range of i is i=1, 2, 3, ..., N; define the node bending error, symbol L ab The node bending error represents the difference between the same ray and the actual orthodontic archwire space curve P T The distance between the intersection of the theoretical orthodontic archwire bending domain space curve and the intersection of the theoretical orthodontic archwire bending domain space curve P T Node a i Node bending error in Yes The coordinate value of Yes The coordinate value of Calculate the actual orthodontic archwire bending domain space curve P T The node bending error of the upper node is obtained to obtain the P T "The node bending error set of the upper node Define the total node bending error in the bending domain, represented by the symbol S. The total node bending error in the bending domain represents the sum of the node errors of the nodes on the orthodontic archwire bending domain space curve. T "The total node bending error in the bending domain The actual orthodontic archwire bending domain space curve P is calculated T "The total node bending error in the bending domain Step 4: Determine the bending error of nodes on the actual orthodontic archwire bending domain space curve The upper limit of the node bending error of the node on the orthodontic archwire bending domain space curve is specified as L max ,judge Is it established? Specifically: like The actual orthodontic archwire bending domain space curve P T If the node bending error of the upper node of " is within the specified range, jump to step 5; like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T If the node bending error of the upper node of " is not within the specified range, then the output is: the actual orthodontic archwire bending domain space curve P T "The node bending error of the upper node is not within the specified range, the orthodontic arch wire bending domain is unqualified, and the orthodontic arch wire bending domain evaluation is completed; Step 5: Calculate the total node bending error of the relative bending domain of the actual orthodontic archwire bending domain space curve Define the bending system domain bending system, use the symbol V P It indicates that the bending domain bending system is a quantitative description of the complexity of the bending domain space curve of the orthodontic archwire. The theoretical orthodontic archwire bending domain space curve is defined as the Tth theoretical orthodontic archwire bending domain space curve P T Bending system Where (∑E u ) T The theoretical orthodontic archwire bending domain space curve is represented by the Tth theoretical orthodontic archwire bending domain space curve P T The sum of the angular distance ratios of the upper bending points; calculating the bending domain bending system of each theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve, and obtaining the bending domain bending system set of each theoretical orthodontic archwire bending domain space curve of the theoretical orthodontic archwire space curve Define the standard value of the bending system in the bending domain, using the symbol V min It indicates that the standard value of bending system in the bending domain is a quantitative description of the standard value of the complexity of the bending of the spatial curve in the orthodontic archwire bending domain. The bending standard value V of the bending domain space curve of the theoretical orthodontic archwire is calculated min ; Define the relative bending ratio of the bending domain, using the symbol C P The relative bending system ratio of the bending domain represents the ratio of the bending system of the bending domain space curve of the orthodontic archwire to the standard value of the bending system of the bending domain space curve of the orthodontic archwire; the theoretical orthodontic archwire bending domain space curve P T The bending range is relatively The theoretical orthodontic archwire bending domain space curve P is calculated T The bending range is relatively Define the total nodal bending error in the relative bending domain, symbolized by G P The relative bending domain total node bending error indicates that the relative standardization of the bending domain total node bending error of the orthodontic archwire bending domain space curve is performed based on the orthodontic archwire bending domain space curve with the standard value of the bending domain bending system, and the actual orthodontic archwire bending domain space curve P is specified. T "Relative bending domain total node bending error The actual orthodontic archwire bending domain space curve P is calculated T "Relative bending domain total node bending error Step 6: Determination of the total node bending error in the relative bending domain of the actual orthodontic archwire bending domain space curve The upper limit of the total node bending error in the relative bending domain of the orthodontic archwire bending domain space curve is G. max ,judge Is it established? Specifically: like The actual orthodontic archwire bending domain space curve P T "The total node bending error of the relative bending domain is within the specified range, then output: the node bending error of the actual orthodontic arch wire bending domain space curve and the total node bending error of the relative bending domain are both within the specified range, the orthodontic arch wire bending domain is qualified, and the orthodontic arch wire bending domain evaluation is completed; like This is not true, indicating that the actual orthodontic archwire bending domain space curve P T The total node bending error of the relative bending domain of " is not within the specified range, output: the actual orthodontic archwire bending domain space curve P T "The total node bending error of the relative bending domain is not within the specified 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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