Chinese Optics Letters, Volume. 21, Issue 10, 101202(2023)

π-phase-shifted two-plus-one method for non-diffuse surface

Jianhua Wang1、*, Yanxi Yang2, and Peng Xu1
Author Affiliations
  • 1School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266520, China
  • 2School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China
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    Figures & Tables(16)
    Original and π-phase-shifted fringe patterns. (a) Original fringe; (b) π-phase-shifted fringe; (c) cross sections of (a) and (b); (d) partial enlargement of Fig. 1(c).
    3D shape reconstruction of a mask under image saturation. (a) Original fringes with frequency 15/912; (b) 3D reconstruction by the TM; (c) 3D reconstruction by the PM.
    3D shape reconstruction of a Chinese porcelain. (a) Original fringes with frequency 15/912; (b) 3D reconstruction by the TM; (c) 3D reconstruction by the PM.
    3D shape reconstruction comparisons of a metal product. (a) An original fringe with frequency 15/912; (b) π-phase-shifted fringe with frequency 15/912; (c) adaptive projection fringe with frequency 15/912; (d) fringe with exposure time 15 ms and frequency 180/912; (e) optimal fringe with frequency 180/912; (f) 3D measurement using the TM; (g) 3D measurement using the AFPM; (h) 3D measurement using the PM; (i) 3D measurement using the MEAM (24 exposures).
    NPE comparisons.
    3D shape reconstruction comparisons of a wireless mouse. (a) 3D measurement using the TM; (b) 3D measurement using the AFPM; (c) 3D measurement using the PM; (d) 3D measurement using the 24-exposure adjustment method.
    Unwrapped phase comparison of the metal part. (a) High-frequency captured fringe pattern; (b) mid-frequency captured fringe pattern; (c) low-frequency captured fringe pattern; (d) unwrapped phase using the TM; (e) unwrapped phase using the PM; (f) unwrapped phase using the 3F-8S. (g) Cross-sectional comparison of the unwrapped phase (line 80).
    Actual measurement of the metal part. (a) High-precision standard part; (b) actual measurement of the metal part thickness; (c) actual measured value.
    3D point clouds of the metal part using the TM, PM, and 3F-8S. (a) 3D point cloud using the TM; (b) 3D point cloud using the PM; (c) 3D point cloud using the 3F-8S.
    • Table 1. Precision Comparison of a Metal Product

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      Table 1. Precision Comparison of a Metal Product

      AlgorithmTMAFPMPM
      SPE (105 rad)4.74522.29060.8820
    • Table 2. Precision Comparison of a Wireless Mouse

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      Table 2. Precision Comparison of a Wireless Mouse

      AlgorithmTMAFPMPM
      SPE (105 rad)4.87041.61521.1347
    • Table 3. Comparison of the Calculation Time of Each Algorithm

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      Table 3. Comparison of the Calculation Time of Each Algorithm

      AlgorithmTMAFPMMEAMPM
      Time cost (s)0.930.9332.821.95
    • Table 4. Comparison of the Number of Fringes

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      Table 4. Comparison of the Number of Fringes

      AlgorithmTMAFPMMEAMPM
      Number of fringes73916814
    • Table 5. Comparison of the Number of Fringes of TM, PM, and 3F-8S

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      Table 5. Comparison of the Number of Fringes of TM, PM, and 3F-8S

      AlgorithmTMPM3F-8S
      Number of fringes71424
    • Table 6. Comparison of the Time Cost of TM, PM, and 3F-8S

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      Table 6. Comparison of the Time Cost of TM, PM, and 3F-8S

      AlgorithmTMPM3 F-8S
      Time cost (s)0.931.951.82
      Total time cost (s)0.93 + 0.7 = 1.631.95 + 1.4 = 3.351.82 + 2.4 = 4.22
    • Table 7. Precision Comparison of TM, PM, and 3F-8S

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      Table 7. Precision Comparison of TM, PM, and 3F-8S

      AlgorithmTMPM3F-8S
      Maximum height error on the non-intensity saturated surface (mm)0.0690.060.055
      Average height error on the non-intensity saturated surface (mm)0.0540.0340.035
      RMSE (mm)2.29710.30560.2814
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    Jianhua Wang, Yanxi Yang, Peng Xu. π-phase-shifted two-plus-one method for non-diffuse surface[J]. Chinese Optics Letters, 2023, 21(10): 101202

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    Paper Information

    Category: Instrumentation, Measurement, and Optical Sensing

    Received: Mar. 16, 2023

    Accepted: May. 18, 2023

    Published Online: Sep. 20, 2023

    The Author Email: Jianhua Wang (wangjianhua@qut.edu.cn)

    DOI:10.3788/COL202321.101202

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