Wavelet Smoothing Method for Part Curves and Surfaces Based on Multiresolution Analysis

A multi-resolution, wave-optic technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as inability to accurately reconstruct curves and surfaces

Active Publication Date: 2018-08-28
JIANGNAN UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

However, the above algorithms all have approximate calculations, and cannot accurately reconstruct curves and surfaces.

Method used

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  • Wavelet Smoothing Method for Part Curves and Surfaces Based on Multiresolution Analysis
  • Wavelet Smoothing Method for Part Curves and Surfaces Based on Multiresolution Analysis
  • Wavelet Smoothing Method for Part Curves and Surfaces Based on Multiresolution Analysis

Examples

Experimental program
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Effect test

example 1

[0183] Example 1: Example of smooth profile of female rotor of compressor

[0184] Figure 5(a) ~ Figure 5(e) It is an example of the profile smoothing of the female rotor of the compressor. The number of original value points is 196, so the corresponding number of control vertices is 196+2=198, and the corresponding original scale is m=198-3=195; the curve is smoothed into a curve with scale n=128, and the corresponding The number of control vertices is 128+3=131, which can be converted into 131-2=129 type-value points; m-n=195-129=66 wavelets can be constructed, and some of the constructed wavelets are shown in Figure 5(a). Draw the original curve and the smoothing curve, and compare them, as shown in Figure 5(b), the partially enlarged picture shows that the original curve has large fluctuations, the smoothing curve has small fluctuations, and the smoothing effect is obvious; for further analysis of the smoothing Effect, the curvature analysis of the original curve and th...

example 2

[0185] Example 2: An example of the smoothness of the section line of a steam turbine blade

[0186] Figure 6(a) ~ Figure 6(e) It is an example of smoothing of section line of steam turbine blade. The number of original value points is 300, so the corresponding number of control vertices is 300+2=302, and the corresponding original scale is m=302-3=299; the curve is smoothed into a curve with scale n=197, and the corresponding The number of control vertices is 197+3=200, which can be converted into 200-2=198 value points; m-n=299-197=102 wavelets can be constructed, and some of the constructed wavelets are shown in Figure 6(a). Draw the original curve and the smoothing curve, and compare them, as shown in Figure 6(b), the partially enlarged picture shows that the original curve has large fluctuations, the smoothing curve has small fluctuations, and the smoothing effect is obvious; for further analysis of the smoothing effect, the curvature analysis of the original curve and...

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Abstract

The invention discloses a wavelet smoothing method based on multi-resolution analysis. The wavelet smoothing method mainly comprises three steps of reading and processing data points, performing binary wavelet smoothing and performing any resolution wavelet smoothing, so that wavelet smoothing on a curve with any control peak is realized, and the wavelet scale of the curve can be automatically judged according to the number of the control peaks so as to select an optimal calculation step. According to the wavelet smoothing method based on the multi-resolution analysis, the curve smoothing efficiency and the adaptability are better balanced. Deduction and calculation of the wavelet smoothing method conform to a multi-resolution analysis theory, so that approximate operations such as interpolation and fitting are avoided; precise reconfiguration of a smoothed curve can be realized, and the quintessence of wavelet analysis is met.

Description

technical field [0001] The invention relates to a wavelet smoothing method for part curves and surfaces based on multiresolution analysis, which belongs to the field of reverse engineering. Background technique [0002] Limited by manufacturing precision and measurement precision, the digitization process of parts will generate a certain amount of noise and errors, which will have a certain adverse effect on the inverse precision and smoothness of curves and surfaces. As an indispensable key link in reverse engineering, the smoothing technology of curves and surfaces can eliminate these effects as much as possible, thereby improving the quality of reverse engineering. Although the traditional fairing algorithm has a simple and clear idea, its calculation efficiency is extremely low when the measurement data is large. The field of reverse engineering expects a smoothing algorithm that can extract the essential characteristics of curves and surfaces as much as possible. The ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 纪小刚薛杰杨艳李楠
Owner JIANGNAN UNIV
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