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Acta Optica Sinica, Volume. 44, Issue 9, 0912002(2024)

Nonlinear Error Compensation Method for Phase-Shifted Fringe Using 1/6-Period Lookup Table

Zilong Wang1, Hongzhi Xu1, Lingling Yang1, Wenhui Hou1, and Lu Liu1,2、*
Author Affiliations
  • 1College of Engineering, Anhui Agricultural University, Hefei 230036, Anhui, China
  • 2Anhui Province Engineering Laboratory of Intelligent Agricultural Machinery and Equipment, Hefei 230036, Anhui, China
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    References (24)
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    Figures & Tables(9)
    Comparison between ideal fringes and distorted fringes and phase error. (a) Ideal fringes and distorted fringes; (b) phase error

    Fig. 1. Comparison between ideal fringes and distorted fringes and phase error. (a) Ideal fringes and distorted fringes; (b) phase error

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    Construction process of phase error LUT

    Fig. 2. Construction process of phase error LUT

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    Simulation results of the standard sphere. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

    Fig. 3. Simulation results of the standard sphere. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

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    Simulation results of peak surfaces. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

    Fig. 4. Simulation results of peak surfaces. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

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    Experimental results of butterfly statue. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

    Fig. 5. Experimental results of butterfly statue. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

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    Experimental results of octopus statue. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

    Fig. 6. Experimental results of octopus statue. (a)(e) Reconstructed result and error of distorted phase; (b)(f) reconstructed phase and phase error by whole-period LUT; (c)(g) reconstructed phase and phase error by 1/3-period LUT; (d)(h) reconstructed phase and phase error by sLUT

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    Experimental results of axle data. (a)(g) Reconstructed result and error of distorted phase; (b)(h) reconstructed phase and phase error by whole-period LUT; (c)(i) reconstructed phase and phase error by 1/3-period LUT; (d)(j) reconstructed phase and phase error by sLUT; (e)(k) reconstructed phase and phase error by PHE method; (f)(l) reconstructed phase and phase error by double three-step PSA method

    Fig. 7. Experimental results of axle data. (a)(g) Reconstructed result and error of distorted phase; (b)(h) reconstructed phase and phase error by whole-period LUT; (c)(i) reconstructed phase and phase error by 1/3-period LUT; (d)(j) reconstructed phase and phase error by sLUT; (e)(k) reconstructed phase and phase error by PHE method; (f)(l) reconstructed phase and phase error by double three-step PSA method

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    • Table 1. Average computation time of three algorithms

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      Table 1. Average computation time of three algorithms

      AlgorithmWhole-period LUT1/3-period LUTsLUT
      Average time /s0.970.250.12

    • Table 2. Average computation time of five algorithms

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      Table 2. Average computation time of five algorithms

      MethodWhole-period LUT1/3-period LUTsLUTPHEDouble three-step PSA
      Average time /s1.050.250.130.020.18
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    Zilong Wang, Hongzhi Xu, Lingling Yang, Wenhui Hou, Lu Liu. Nonlinear Error Compensation Method for Phase-Shifted Fringe Using 1/6-Period Lookup Table[J]. Acta Optica Sinica, 2024, 44(9): 0912002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Dec. 27, 2023

    Accepted: Feb. 22, 2024

    Published Online: May. 15, 2024

    The Author Email: Lu Liu (vliulu@ahau.edu.cn)

    DOI:10.3788/AOS231999

    CSTR:32393.14.AOS231999

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology