Application of two-dimensional wavelet transform in the modulation measurement profilometry

Jingjing Huang; Wenjing Chen; Xianyu Su

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Application of two-dimensional wavelet transform in the modulation measurement profilometry

机译：二维小波变换在调制测量轮廓图中的应用

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摘要

The vertical optical measurement method with coaxial projection and imaging can measure the com-plex surface or step-like surface because it helps to avoid the shadow and occlusion. Instead of the phase cal-culation and phase unwrapping processing, only the modulation information is needed to reconstruct the surface of the tested object by this method. To improve the accuracy of the modulation calculation at each scanning position from only one fringe pattern, this paper introduces the two-dimensional (2-D) wavelet transform into modulation measurement profilometry. The relationship between the 2-D complex wavelet transform coefficients and the modulation distribution of the fringe is deduced. The computer simulation and experiment are carried out to verify that the method based on the 2-D complex wavelet analysis offers higher accuracy than that based on the Fourier transform analysis.

机译：具有同轴投影和成像功能的垂直光学测量方法可以测量复杂表面或阶梯状表面，因为它有助于避免阴影和遮挡。代替相位计算和相位展开处理，通过这种方法仅需要调制信息即可重建被测物体的表面。为了提高仅一个条纹图案在每个扫描位置的调制计算的准确性，本文将二维（2-D）小波变换引入到调制测量轮廓图中。推导了二维复小波变换系数与条纹调制分布之间的关系。通过计算机仿真和实验，验证了基于二维复小波分析的方法比基于傅立叶变换分析的方法具有更高的准确性。

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来源
《Optical engineering》 |2017年第3期|034105.1-034105.8|共8页
作者
Jingjing Huang; Wenjing Chen; Xianyu Su;
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作者单位

Sichuan University, Opto-Electronic Department, Chengdu, China;

Sichuan University, Opto-Electronic Department, Chengdu, China;

Sichuan University, Opto-Electronic Department, Chengdu, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
optical 3-D vertical measurement; modulation calculation; wavelet transform; fringe analysis;

机译：光学3-D垂直测量;调制计算;小波变换条纹分析;

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1. Noise reduction in modulation measurement profilometry based on the wavelet transform method [J] . Min Zhong, Feng Chen, Chao Xiao, Optical engineering . 2018,第5期

机译：基于小波变换方法的调制测量轮廓图中的降噪
2. Elimination of nonlinearity in modulation measurement profilometry by Wavelet Transform [J] . Zhong Min, Chen Feng, Xiao Chao, Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2018,第期

机译：通过小波变换消除调制测量轮廓测量中的非线性
3. 3-D surface profilometry based on modulation measurement by applying wavelet transform method [J] . Zhong Min, Chen Feng, Xiao Chao, Optics and Lasers in Engineering . 2017,第jana期

机译：基于小波变换方法的调制测量的3D表面轮廓仪
4. New Fourier transform profilometry based on modulation measurement [C] . XianYu Su, Likun Su, Wansong Li Congress of the international commission for optics: Optics for the next millennium . 1999

机译：基于调制测量的新傅立叶变换性研究
5. Sensitivity of scattering function estimates to physical parameter measurement errors with applications to the wavelet transform domain estimator-correlator. [D] . Grove, Deborah Mary. 1998

机译：散射函数估计对物理参数测量误差的敏感性以及在小波变换域估计器-相关器中的应用。
6. Improve Temporal Fourier Transform Profilometry for Complex Dynamic Three-Dimensional Shape Measurement [O] . Yihang Liu, Qican Zhang, Haihua Zhang, 2020

机译：改进时间傅立叶变换轮廓仪以进行复杂的动态三维形状测量
7. A wavelet ridge extraction method employing a novel cost function in two-dimensional wavelet transform profilometry [O] . Jianhua Wang, Yanxi Yang 2018

机译：一种小波脊提取方法，采用二维小波变换轮廓研究的新型成本函数
8. Theory and Applications of the Phi Transform Wavelets [R] . Weiss, G. 1993

机译：phi变换小波的理论与应用

Application of two-dimensional wavelet transform in the modulation measurement profilometry

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