Lü Shan-shan,JIANG Ming-shun,SU Chen-hui,ZHANG Lei,ZHANG Fa-ye,SUI Qing-mei,JIA Lei.Novel phase difference extraction method of FPP system based on DWT and OMP algorithm[J].Optoelectronics Letters,2020,16(2):131-136
Novel phase difference extraction method of FPP system based on DWT and OMP algorithm
Author NameAffiliation
Lü Shan-shan Institute of Marine Science and Technology, Shandong University, Qingdao 266237, China 
JIANG Ming-shun School of Control Science and Engineering, Shandong University, Jinan 250061, China 
SU Chen-hui School of Control Science and Engineering, Shandong University, Jinan 250061, China 
ZHANG Lei School of Control Science and Engineering, Shandong University, Jinan 250061, China 
ZHANG Fa-ye School of Control Science and Engineering, Shandong University, Jinan 250061, China 
SUI Qing-mei School of Control Science and Engineering, Shandong University, Jinan 250061, China 
JIA Lei Institute of Marine Science and Technology, Shandong University, Qingdao 266237, ChinaSchool of Control Science and Engineering, Shandong University, Jinan 250061, China 
Abstract:
      In this paper, to reduce the non-linear phase error caused by gamma effect of the digital projector, a novel phase difference extraction method is proposed. First, through multi-layer discrete wavelet decomposition (DWT), the components of the original phase difference at different frequencies are extracted. Subsequently, the effective components are taken by the orthogonal matching pursuit (OMP) algorithm, and the phase difference is reconstructed. According to the upper and lower envelopes of the original phase difference extracted by cubic spline interpolation, the residual threshold of OMP is set. According to the results of three-dimensional (3-D) reconstruction experiment on a standard sphere, the proposed method is capable of reducing the errors in the original phase difference and achieving a better imaging result.
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