• Laser & Optoelectronics Progress
  • Vol. 58, Issue 8, 0810024 (2021)
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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    DOI: 10.3788/LOP202158.0810024 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Flow chart of variable grouping optimization
    Fig. 1. Flow chart of variable grouping optimization
    Phase error varying with used period
    Fig. 2. 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
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. 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
    MethodPhase MAE /radConsuming timeProportion of LOS /%
    (a)0.059961<10
    (b)0.038584<10
    (c)0.027161880.10244.7
    (d)0.02213662.19800
    Table 1. Performance 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
    Table 2. Calculation accuracy of different phase solution methods
    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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