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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    Figures & Tables(9)
    Wavelet bases of wavelet transform. (a) db10; (b) sym4
    Comparison of phase retrieval results (PSNR,SSIM) of different algorithms whenRSNR=15 dB. (a) WF (13.28 dB,0.08); (b) DOLPHIn (27.13 dB,0.65); (c) BM3D-PRGAMP (29.13 dB, 0.80); (d) PRWATV (30.82 dB, 0.83)
    Partial information comparison of phase retrieval results of different algorithms whenRSNR=15 dB. (a) WF; (b) DOLPHIn; (c) BM3D-PRGAMP; (d) PRWATV
    Comparison of phase retrieval results (PSNR, SSIM) of different algorithms whenRSNR=15 dB. (a) TWF (13.10 dB, 0.11); (b) DOLPHIn (25.91 dB, 0.62); (c) SPAR (28.88 dB, 0.77); (d) PRWATV (28.68 dB, 0.76)
    • Table 1. Comparison of PSNR obtained by phase retrieval experiments with different threshold algorithms dB

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      Table 1. Comparison of PSNR obtained by phase retrieval experiments with different threshold algorithms dB

      Threshold algorithmPSNR
      RSNR =20 dBRSNR =15 dBRSNR =10 dB
      Soft28.7226.5524.16
      Hard29.6727.0824.34
      Group soft29.3427.1324.74
      Group hard30.5728.0525.40
    • Table 2. Comparison of PSNR obtained by phase retrieval experiments with different regularization termsdB

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      Table 2. Comparison of PSNR obtained by phase retrieval experiments with different regularization termsdB

      Regularization termPSNR
      RSNR =20 dBRSNR =15 dBRSNR =10 dB
      db10 sparsity28.4525.7122.97
      sym4 sparsity28.2125.6322.99
      Total variation28.9727.0124.77
      db10 sparsity+ total variation30.1727.7225.15
      sym4 sparsity+ total variation30.0427.6725.13
      db10 sparsity+ sym4 sparsity30.0627.3624.67
      db10 sparsity+ sym4 sparsity+ total variation30.5728.0525.40
    • Table 3. Comparison of PSNR obtained by phase retrieval experiments with RSNR =15 dBdB

      View table

      Table 3. Comparison of PSNR obtained by phase retrieval experiments with RSNR =15 dBdB

      ImageWFDOLPHInBM3D-PRGAMPPRWATV
      Lena51213.2927.1329.1330.82
      Boat51213.1625.3827.5328.39
      Mandril51213.7320.4025.4226.36
      Barbara51212.8925.1026.6026.64
      Fingerprint51212.4922.5024.8525.74
      Cameraman25612.1524.5127.0027.54
      Peppers25612.9424.6427.7128.61
      House25612.9225.2429.8830.05
    • Table 4. Comparison of average PSNR and running time obtained by phase retrieval experiments with different noise measurement values

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      Table 4. Comparison of average PSNR and running time obtained by phase retrieval experiments with different noise measurement values

      RSNR /dBAlgorithm256 pixel×256 pixel512 pixel×512 pixel
      PSNR /dBTime /sPSNR /dBTime /s
      20WF13.490.9614.006.21
      DOLPHIn27.8211.0527.1733.71
      BM3D-PRGAMP30.5222.2629.1098.66
      PRWATV31.381.9829.9012.65
      15WF12.670.9113.116.07
      DOLPHIn27.829.9524.1029.02
      BM3D-PRGAMP28.2047.8926.70197.04
      PRWATV28.732.1227.5912.58
    • Table 5. Comparison of PSNR and running time obtained by phase retrieval experiments with different noise

      View table

      Table 5. Comparison of PSNR and running time obtained by phase retrieval experiments with different noise

      RSNR /dBAlgorithmLena512Boat512Cameraman256Peppers256
      PSNR /dBTime /sPSNR /dBTime /sPSNR /dBTime /sPSNR /dBTime /s
      20TWF14.107.3714.067.2112.711.7613.801.72
      DOLPHIn29.3821.0027.5220.8426.558.0127.557.85
      SPAR34.19100.2031.64101.2930.9825.3832.2425.40
      PRWATV33.6011.1231.3111.0430.711.9231.891.92
      15TWF13.347.5813.097.3812.131.7612.881.72
      DOLPHIn27.4328.5525.9028.5724.657.3225.537.20
      SPAR31.37101.3828.88100.9227.8525.8729.1225.77
      PRWATV30.9711.2428.6811.3427.821.6628.791.66
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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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