Phase retrieval from fringe pattern with 1-D discrete wavelet transform |
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Authors: | Shi-lin Cui De-hua LiQing-guang Li |
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Affiliation: | a Institute for pattern recognition and artificial intelligence, Huazhong University of Science and Technology, Wuhan 430074, China b Nanyang Institute of science and technology |
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Abstract: | This paper proposes a novel method to obtain frequency modulation (FM) signals from a single fringe pattern for phase retrieval. First, a 1D discrete Meyer wavelet is employed to decompose the pattern image signal row by row and the soft-thresholding approach is applied to remove noise. The low frequency coefficients of the wavelet decomposition are then set to 0, and the signal is reconstructed. Moreover, the optimal wavelet decomposition level is adaptively determined using a cost function-based method. The reconstructed signal, which no longer contains a background component, is normalized using a nonlinear and piecewise normalization method. The proposed method is faster and more accurate than some other phase retrieval approaches, which is illustrated with two test cases. |
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Keywords: | Phase retrieval Fringe pattern Discrete wavelet decomposition Normalization |
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