Laser & Optoelectronics Progress, Volume. 58, Issue 8, 0810024(2021)

Robust High-Precision Phase Solution Method Based on Two-Step Phase-Shifting Method with Arbitrary Step Length

Zhuoyi Yin1,2, Cong Liu1、*, Lizhao Lai1, Xiaoyuan He2, Xiaopeng Liu3, and Zhihong Xu1
Author Affiliations
  • 1School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China
  • 2School of Civil Engineering, Southeast University, Nanjing, Jiangsu 211189, China
  • 3College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong 266590, China
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    Figures & Tables(7)
    Flow chart of variable grouping optimization
    Phase error varying with used period
    Simulation results of two-step phase-shifting method. (a) Environmental light intensity distribution; (b) surface reflectance; (c) height distribution; (d) fringe line image
    Error of different phase solution methods. (a) Method only considering ideal light source; (b) graphical method; (c) method of direct iterative optimization; (d) method of this paper
    Results of verification experiment. (a) Accurate value distribution of wrapping phase; (b) solution value of method in Ref. [15] when phase shift step is π/2; (c) solution value of method in Ref. [11] when phase shift step is π; (d) solution value of method in Ref. [14] when phase shift step is 3π/2; (e)-(g) solution values of proposed method when phase shift steps are π/2,π, and 3π/2, respectively; (h) distribution of phase precise value in first row of image; (i)-(k) solution errors in first row of image when phase shift steps are π/2, π, and 3π/2, respectively
    • Table 1. Performance of different phase solution methods

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      Table 1. Performance of different phase solution methods

      MethodPhase MAE /radConsuming timeProportion of LOS /%
      (a)0.059961<10
      (b)0.038584<10
      (c)0.027161880.10244.7
      (d)0.02213662.19800
    • Table 2. Calculation accuracy of different phase solution methods

      View table

      Table 2. Calculation accuracy of different phase solution methods

      PhasestepMethodPhase MAE /radMAE of our method /rad
      π/2Method in Ref. [15]0.63060.0569
      πMethod in Ref. [11]0.13690.0445
      /2Method in Ref. [14]0.09410.0554
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    Zhuoyi Yin, Cong Liu, Lizhao Lai, Xiaoyuan He, Xiaopeng Liu, Zhihong Xu. Robust High-Precision Phase Solution Method Based on Two-Step Phase-Shifting Method with Arbitrary Step Length[J]. Laser & Optoelectronics Progress, 2021, 58(8): 0810024

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    Paper Information

    Category: Image Processing

    Received: Oct. 10, 2020

    Accepted: Dec. 2, 2020

    Published Online: Apr. 16, 2021

    The Author Email: Liu Cong (LiuC@njust.edu.cn)

    DOI:10.3788/LOP202158.0810024

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