Optical Technique, Volume. 50, Issue 6, 721(2024)

Fringe decoupling method for phase deflection measurement of transparent objects based on continuous wavelet transform

CHEN Siru1, GAO Nan1、*, GUO Tong2, ZHANG Guofeng3, WANG Pengcheng1, NI Yubo1, MENG Zhaozong1, and ZHANG Zonghua1
Author Affiliations
  • 1School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China
  • 2State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
  • 3School of Mechanical Engineering, Xi'an Jiaotong University, Shanxi 710049, China
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    The phase measuring deflectometry fails to measure the double surfaces of transparent objects, because the fringes reflected from both the front and rear surfaces are superimposed in the captured images. Therefore, accurately extracting the phase from the coupled fringe patterns is considered as one of the main problems in PMD. A fringe decoupling method based on continuous wavelet transform is proposed to eliminate parasitic reflections. It proposes a method based on modular maximum and image segmentation, which extracts the best multi-region ridge points in time-frequency domain and obtain the principal components of different wavelet ridges in amplitude spectrum. Then the fringe phase of the corresponding position of the wavelet ridge is extracted. The proposed method successfully attains a curvature radius mean value of 0.038mm for 135.800~515.090mm radius of curvature lens in the experiment. The root mean square of the surface shape error is 1.4μm. The proposed algorithm can eliminate parasitic reflections successfully which eventually realizes high-precision measurement of transparent objects.

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    CHEN Siru, GAO Nan, GUO Tong, ZHANG Guofeng, WANG Pengcheng, NI Yubo, MENG Zhaozong, ZHANG Zonghua. Fringe decoupling method for phase deflection measurement of transparent objects based on continuous wavelet transform[J]. Optical Technique, 2024, 50(6): 721

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    Paper Information

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    Received: Mar. 5, 2024

    Accepted: Jan. 21, 2025

    Published Online: Jan. 21, 2025

    The Author Email: Nan GAO (ngao@hebut.edu.cn)

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