Chinese Optics Letters, Volume. 13, Issue Suppl., S21001(2015)

Fast phase retrieval method based on twice derivatives in phase-shifting interferometry with a blind phase shift

Yuanyuan Xu1, Yawei Wang1,2、*, Ying Ji2, Minjie Liang2, Weifeng Jin1, Min Bu2, Xuefu Shang2, and Hao Han2
Author Affiliations
  • 1School of Mechanical Engineering, Jiangsu University, Zhenjiang 212013, China
  • 2Faculty of Science, Jiangsu University, Zhenjiang 212013, China
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    Figures & Tables(7)
    Average-sized RBC: (a) 3D model; (b) cross section.
    Phase reconstruction of a RBC using derivative method in off-axis interferometry: (a) and (b) two phase-shifted interferograms; (c) and (d) first-order derivatives of (a) and (b), respectively; (e) and (f) second-order derivatives of (a) and (b), respectively; (g) and (h) 2D display and 3D display, respectively, of the reconstructed phase; (i) thickness distribution.
    Reconstructed phase of a RBC obtained by the following: (a) Hilbert transform, 2D display map; (b) twice filters algorithm, 2D display map; (c) Hilbert transform, 3D display map; (d) twice filters algorithm, 3D display map.
    Reconstructed phase maps with different algorithms in slight off-axis interferometry: (a) Hilbert transform; (b) twice filters algorithm; (c) our method.
    Phase reconstruction of a RBC using derivative method in on-axis interferometry: (a) interferogram; (b) first-order derivative; (c) second-order derivative; (d) 2D display of the reconstructed phase; (e) 3D display of the reconstructed phase.
    • Table 1. Phase Shift Extraction and the Calculated Thickness

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      Table 1. Phase Shift Extraction and the Calculated Thickness

      Preset α (rad)Calculated α (rad)Error α (rad)Max Thickness (μm)Mean Deviation (μm)
      π/80.393−0.00032.8440.0015
      2π/80.786−0.00062.8430.0014
      3π/81.179−0.00092.8430.0014
      4π/81.573−0.00222.8460.0026
      5π/81.965−0.00152.8450.0020
      6π/82.3520.00422.8510.0047
      7π/82.7470.00182.8470.0031
    • Table 2. Standard Deviation, MSE, and Processing Time with Different Approaches

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      Table 2. Standard Deviation, MSE, and Processing Time with Different Approaches

      ApproachesStandard Deviation (rad)MSE (rad)Processing Time (s)
      Hilbert transform0.68500.0242.0625
      Twice filters0.68480.0172.512
      Our method0.68470.0171.8526
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    Yuanyuan Xu, Yawei Wang, Ying Ji, Minjie Liang, Weifeng Jin, Min Bu, Xuefu Shang, Hao Han, "Fast phase retrieval method based on twice derivatives in phase-shifting interferometry with a blind phase shift," Chin.Opt.Lett. 13, S21001 (2015)

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    Paper Information

    Category: Image processing

    Received: Nov. 24, 2014

    Accepted: Jan. 15, 2015

    Published Online: Aug. 8, 2018

    The Author Email: Yawei Wang (jszjwyw@sina.cn)

    DOI:10.3788/COL201513.S21001

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