CN104537266A - Calculation method of arch-shaped structural component matched with teeth - Google Patents

Abstract

The invention discloses a calculation method of an arch-shaped structural component matched with teeth. Arc shape feature data of an arc-shaped structure are preset and converted into coordinate data to be fitted; a polynomial with an undefined term not higher than the power of six is adopted for primary fitting of the coordinate data to be fitted; an automatic least square method is adopted for secondary fitting of a primary fitting result, and a function image is automatically obtained and displayed. The calculation method of the arch-shaped structural component matched with the teeth can overcome the defects that in the prior art, a unified arc shape is adopted, and accordingly precision is poor, the recurrence rate is high and the treatment course is prolonged, and the advantages that precision is good, the operation process is simple, and recurrence caused by width increase of a dental arch is avoided are achieved.

Description

A kind of computing method of the arcuate structural member matched with tooth

Technical field

The present invention relates to field of measuring technique, particularly, relate to a kind of computing method of the arcuate structural member matched with tooth.

Background technology

20th century started about the research of Arch width, and the function of all kinds of various kinds is used to simulate Arch width: comprise beta function, ellipse function, polynomial function etc.In fact, each class function all can reasonable matching dental arch curve, and matching depends on the selection of facing monumented point and quantizes.Initial when not having computing machine, people are control teeth tooth models, and grid paper draws original dental arch curve, utilize grid paper to read mathematical modeling coordinate data used.Here, according to the situation that current paper reports in 2014 and academic conference are discussed ^{[1] [2]}, the method up to the present setting up tooth mathematical model remains and utilizes tooth plaster cast, obtains dental arch raw data, then carry out matching to it by image variants.This method can gather arc initial parameter relatively very accurately, is widely used in theoretical research.But because of complicacy (namely needing to carry out image acquisition, image procossing) rare application in clinical of its operation.

Realizing in process of the present invention, inventor finds to adopt in prior art unified arcly at least exists the defects such as the high and increase course for the treatment of of poor accuracy, recurrence rate

Summary of the invention

The object of the invention is to, for the problems referred to above, propose a kind of computing method of the arcuate structural member matched with tooth, cause the advantage of recurrence etc. to realize that operating process is simple, accuracy good and avoid arch width to increase.For achieving the above object, the technical solution used in the present invention is: a kind of computing method of the arcuate structural member matched with tooth, comprising:

A, pre-set arched arcuate feature data, these arcuate feature data are converted to the coordinate data treating matching;

B, employing undefined term be not higher than the polynomial expression of 6 times, and the coordinate data treating matching carries out once fitting;

C, adopt automatic least square method, carry out quadratic fit to once fitting result, automatic acquisition functional image also shows.

Further, in step a, described in treat that the coordinate data of matching specifically comprises:

Obtained by the tooth distance computation measured for x coordinate, computing formula is:

$x_i=\frac{d_i}{2}(i=\mathrm{1,2,3});$

Y coordinate is adopted to the thought of differential, carries out segment iteration and be added acquisition:

y _i＝y _i-1+Δy _i-1；

Wherein, Δ y is determined by scant length and Δ x, scant length be approximately equal to tooth width of being separated by and, computing formula is as follows:

$\mathrm{\Δy}=\sqrt{{\left(\underset{i=n,n+1...m}{\mathrm{\Σ}}{w}_n\right)}^2-{\mathrm{\Δx}}^2}.$

These arcuate feature data, owing to comprising: pre-set arched arcuate feature data, are converted to the coordinate data treating matching by the computing method of the arcuate structural member matched with tooth of various embodiments of the present invention; Adopt undefined term not higher than the polynomial expression of 6 times, the coordinate data treating matching carries out once fitting; Adopt automatic least square method, carry out quadratic fit to once fitting result, automatic acquisition functional image also shows; Thus the defect of operating process complexity, poor accuracy and comfort level difference in prior art can be overcome, to realize the advantage that operating process is simple, accuracy good and comfort level is good.

Other features and advantages of the present invention will be set forth in the following description, and, partly become apparent from instructions, or understand by implementing the present invention.

Below by drawings and Examples, technical scheme of the present invention is described in further detail.

Accompanying drawing explanation

Accompanying drawing is used to provide a further understanding of the present invention, and forms a part for instructions, together with embodiments of the present invention for explaining the present invention, is not construed as limiting the invention.In the accompanying drawings:

Fig. 1 is the structural representation of arcuate structural member in the computing method of the arcuate structural member that the present invention and tooth match.

Embodiment

Below in conjunction with accompanying drawing, the preferred embodiments of the present invention are described, should be appreciated that preferred embodiment described herein is only for instruction and explanation of the present invention, is not intended to limit the present invention.

According to the embodiment of the present invention, as shown in Figure 1, a kind of computing method of the arcuate structural member matched with tooth are provided.

Technical scheme of the present invention, the technical scheme solving its technical matters is: by the measurement scheme of specifying, i.e. width (the wi|i=1 of one-sided every tooth, 2,3 ...) and the spacing (d1 of three groups of corresponding teeth, d2, d3), obtain and be enough to characterize the arc characteristic of patient.As shown in Figure 1, can be obtained by the tooth distance computation measured for x coordinate, computing formula is:

$x_i=\frac{d_i}{2}(i=\mathrm{1,2,3});$

Y coordinate is adopted to the thought of differential, carries out segment iteration and be added acquisition:

y _i＝y _i-1+Δy _i-1；

Wherein, Δ y as shown in Figure 1, is determined by scant length and Δ x, scant length be approximately equal to tooth width of being separated by and, computing formula is as follows:

$\mathrm{\Δy}=\sqrt{{\left(\underset{i=n,n+1...m}{\mathrm{\Σ}}{w}_n\right)}^2-{\mathrm{\Δx}}^2};$

Utilize Labview platform coding.By the arch data loading routine of any patient, be converted into tooth coordinate according to above-mentioned mathematical relation.For coordinate according to the polynomial expression being less than six times, adopt least square method automatic Fitting, calculate individual exclusive tooth arc.Through clinical verification, the arc and patient's dental arch using the method to obtain meets well.

the technology point that technical solution of the present invention mainly comprises:

(1) define three groups of corresponding tooth spacing and every tooth width arcuate feature data as every patient.

(2) adopt transforming relationship shown in accompanying drawing 1, characteristic being converted into can the tooth coordinate of matching.

(3) adopt undefined term not carry out matching higher than the polynomial expression of 6 times to tooth coordinate.

(4) use Lab view graphical programming language, realize automatically calculating tooth coordinate, automatic least square fitting, automatic acquisition functional image also shows.

the novelty of technical solution of the present invention illustrates:

We have proposed a kind of method without the need to carrying out image acquisition and process, to obtain tooth arc, only need the dental arch characteristic (directly reading by carrying out simple measurement to each patient) adopting us to define, the individual that can obtain this patient is exclusive arc.

List of references:

[1] " research of the mathematical model of simulation Tianjin youth of Chinese nationality individuation arch wire form ", Qiu Jing Han Lei Li Jing Li Hong sends out, oral and maxillofacial reconstruction magazine, in January, 2014.

[2] " three-dimensional digital occlusion cast is utilized to the measurement of mandibular dental arch and base Bones morphology ", Li He, the 13 the academic meeting of national mouth cavity orthodontic (2014 can) collection of thesis, in October, 2014.

Last it is noted that the foregoing is only the preferred embodiments of the present invention, be not limited to the present invention, although with reference to previous embodiment to invention has been detailed description, for a person skilled in the art, it still can be modified to the technical scheme described in foregoing embodiments, or carries out equivalent replacement to wherein portion of techniques feature.Within the spirit and principles in the present invention all, any amendment done, equivalent replacement, improvement etc., all should be included within protection scope of the present invention.

Claims (2)

1. computing method for the arcuate structural member matched with tooth, is characterized in that, comprising:

A, pre-set arched arcuate feature data, these arcuate feature data are converted to the coordinate data treating matching;

B, employing undefined term be not higher than the polynomial expression of 6 times, and the coordinate data treating matching carries out once fitting;

C, adopt automatic least square method, carry out quadratic fit to once fitting result, automatic acquisition functional image also shows.

2. the computing method of the arcuate structural member matched with tooth according to claim 1, is characterized in that, in step a, described in treat that the coordinate data of matching specifically comprises:

Obtained by the tooth distance computation measured for x coordinate, computing formula is:

$x_i=\frac{d_i}{2}(i=\mathrm{1,2,3});$

Y coordinate is adopted to the thought of differential, carries out segment iteration and be added acquisition:

y _i＝y _i-1+Δy _i-1；

Wherein, Δ y is determined by scant length and Δ x, scant length be approximately equal to tooth width of being separated by and, computing formula is as follows:

$\mathrm{\Δy}=\sqrt{{\left(\underset{i=n,n+1...m}{\mathrm{\Σ}}{w}_n\right)}^2-\mathrm{\Δ}{x}^2}.$