Acta Optica Sinica, Volume. 38, Issue 2, 0220001(2018)

Phase Retrieval Algorithm Fusing Multiple Wavelets and Total Variation Regularization

Qiusheng Lian*, Ying Li, and Shuzhen Chen
Author Affiliations
  • Institute of Information Science and Technology, Yanshan University, Qinhuangdao, Hebei 066004, China
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    In process of phase retrieval, the image reconstruction quality can be improved when we use the image sparsity as the prior knowledge. By combining the group sparsity of image in wavelet domain with the gradient sparsity of the image itself, we propose a phase retrieval algorithm fusing orthogonal wavelet db10, sym4 group sparsity and total variation regularization for the coded diffraction pattern model. Aiming at the problem that reconfiguration time of the current phase retrieval algorithm is long, we use composite splitting algorithm to decompose nonconvex optimization problem into several sub-problems (including two group hard threshold operators and total variation minimization) that can be solved easily, which reduces the image reconstruction time. Experimental results show that the peak signal-to-noise ratio of the reconstructed image obtained by the proposed algorithm is improved by about 0.8 dB compared with that of BM3D-PRGAMP algorithm under Gaussian noise, and the reconstruction time is reduced by 90%. In Poisson model, the proposed algorithm also has a great advantage, which fully demonstrates that the algorithm is robust to noise.

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    Qiusheng Lian, Ying Li, Shuzhen Chen. Phase Retrieval Algorithm Fusing Multiple Wavelets and Total Variation Regularization[J]. Acta Optica Sinica, 2018, 38(2): 0220001

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    Paper Information

    Category: Optics in Computing

    Received: Sep. 14, 2017

    Accepted: --

    Published Online: Aug. 30, 2018

    The Author Email: Lian Qiusheng (lianqs@ysu.edu.cn)

    DOI:10.3788/AOS201838.0220001

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