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Volume 39 Issue 5
Jul.  2015
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Study on application of wavelets in 3-D surface shape measurement

  • Corresponding author: CHEN Wenjing, chenwj0409@scu.edu.cn
  • Received Date: 2014-08-15
    Accepted Date: 2014-08-30
  • In order to analyze the frequency features of commonly used wavelets, such as complex Morlet wavelet, Fan wavelet, real Mexican hat wavelet in frequency domain, wavelet transform and 3-D surface shape measurement method based on the structured light illumination were used in reconstruction of the object to be measured. Theoretical analysis and experimental verification were carried out. By comparing the capability of eliminating fringe nonlinearity and noise of 1-D and 2-D Morlet wavelets, 1-D and 2-D Mexican hat wavelets and 2-D Fan wavelet, and comparing the demodulation accuracy of different fringe phases, the reconstructed accuracies of the same fringe based on different wavelet demodulations were obtained. The results show that the capability of eliminating the noise of 2-D wavelet is stronger than 1-D wavelet. Mexican hat wavelet is suitable for demodulating fringe pattern with phase mutation. The research provides the theoretical reference for the application of wavelet transform profilometry.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Study on application of wavelets in 3-D surface shape measurement

    Corresponding author: CHEN Wenjing, chenwj0409@scu.edu.cn
  • 1. College of Electronis and Information Engineering, Sichuan University, Chengdu 641004, China

Abstract: In order to analyze the frequency features of commonly used wavelets, such as complex Morlet wavelet, Fan wavelet, real Mexican hat wavelet in frequency domain, wavelet transform and 3-D surface shape measurement method based on the structured light illumination were used in reconstruction of the object to be measured. Theoretical analysis and experimental verification were carried out. By comparing the capability of eliminating fringe nonlinearity and noise of 1-D and 2-D Morlet wavelets, 1-D and 2-D Mexican hat wavelets and 2-D Fan wavelet, and comparing the demodulation accuracy of different fringe phases, the reconstructed accuracies of the same fringe based on different wavelet demodulations were obtained. The results show that the capability of eliminating the noise of 2-D wavelet is stronger than 1-D wavelet. Mexican hat wavelet is suitable for demodulating fringe pattern with phase mutation. The research provides the theoretical reference for the application of wavelet transform profilometry.

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