Infrared and Laser Engineering, Volume. 53, Issue 2, 20230596(2024)

Two-step random phase-shifting algorithm based on principal component analysis and VU decomposition method

Yu Zhang1,2
Author Affiliations
  • 1College of Science, Northeast Electric Power University, Jilin 132012, China
  • 2State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130022, China
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    Figures & Tables(12)
    Simulated phase distributions, interferograms and interferograms after Gaussian high-pass filtering. (a), (b) Theoretical phase distributions corresponding to the circular and complex fringes; (c), (d) Interferograms with circular and complex fringes; (e), (f) Interferograms with circular and complex fringes after Gaussian high-pass filtering
    Phase error distributions of different phase-shifting algorithms. (a)-(e) Phase error distributions of circular fringes; (f)-(j) Phase error distributions of irregular fringes
    Phase errors RMS of different phase-shifting algorithms with different types of fringes (20 dB)
    Phase errors RMS of different phase-shifting algorithms with different types of fringes in the ideal case
    Phase errors RMS of different phase-shifting algorithms corresponding to the circular fringes with different levels of noise
    Phase errors RMS of different phase-shifting algorithms corresponding to the circular fringes with different phase shifts and 20 dB of noise
    Phase errors RMS of different phase-shifting algorithms corresponding to the circular fringes with different fringe numbers and 20 dB of noise
    Experimental layout of dual-mode snapshot interferometry
    Experimental phase distributions, phase-shifting interferograms and interferograms after Gaussian high-pass filtering. (a), (b) Theoretical phase distributions corresponding to the circular and irregular fringes; (c), (d) Interferograms with circular and irregular fringes; (e), (f) Interferograms with circular and irregular fringes after Gaussian high-pass filtering
    Experimental phase deviation distributions of different phase-shifting algorithms. (a)-(e) Phase deviation distributions of circular fringes; (f)-(j) Phase deviation distributions of irregular fringes
    • Table 1. Computational time in the simulation

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      Table 1. Computational time in the simulation

      PSAGSCVMEMNSD&FLSAPCA2PCA&VU
      Time/s0.0112.3280.1190.011PCA0.011
      VU0.035
      Total0.046
    • Table 2. Computational time in the experiment

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      Table 2. Computational time in the experiment

      PSAGSCVMEMNSD&FLSAPCA2PCA&VU
      Time/s0.0060.5460.0960.006PCA0.006
      VU0.025
      Total0.031
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    Yu Zhang. Two-step random phase-shifting algorithm based on principal component analysis and VU decomposition method[J]. Infrared and Laser Engineering, 2024, 53(2): 20230596

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    Paper Information

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    Received: Oct. 23, 2023

    Accepted: --

    Published Online: Mar. 27, 2024

    The Author Email:

    DOI:10.3788/IRLA20230596

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