Chinese Optics Letters, Volume. 22, Issue 8, 081101(2024)

Arbitrary n-step phase-shifting Fourier single-pixel imaging

Zongguo Li1,2, Biao Wang1, Zhandong Liu1, Kai Xu1, Jinyi Jia1, and Hongguo Li1、*
Author Affiliations
  • 1Tianjin Key Laboratory of Quantum Optics and Intelligent Photonics, School of Science, Tianjin University of Technology, Tianjin 300384, China
  • 2State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China
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    Figures & Tables(9)
    Simulation results of “Cameraman” reconstructed by FSI for 3–6 steps. The 3-step image of Case 3 is left blank because it is only valid for n > 3.
    Schematic of n-step phase-shifting FSI.
    Images for the binary object reconstructed by FSI for 3–6 steps. The 3-step image of Case 3 is left blank because it is only valid for n > 3.
    Images for the gray-scale object reconstructed by FSI for 3–6 steps. The 3-step image of Case 3 is left blank due to its validity for n > 3.
    Comparison of images of the “astronaut” object reconstructed by FSI for 3–6 steps under different light intensities. (a) Strong light. (b) Weak light.
    • Table 1. PSNRs of Reconstructed Images of the Binary Object

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      Table 1. PSNRs of Reconstructed Images of the Binary Object

      PSNR (dB)
      3-Step4-Step5-Step6-Step
      Case 123.6028.1627.2042.96
      Case 223.6025.0624.5725.44
      Case 328.1627.2428.57
      Case 423.6028.1627.2430.49
    • Table 2. PSNRs of Reconstructed Images of the Gray-Scale Object

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      Table 2. PSNRs of Reconstructed Images of the Gray-Scale Object

      PSNR (dB)
      3-Step4-Step5-Step6-Step
      Case 122.7126.3225.3745.64
      Case 222.7122.2822.9822.60
      Case 326.3226.3127.54
      Case 422.7126.3226.3130.91
    • Table 3. PSNRs of Reconstructed Images of “Astronaut” with 3–6 Step FSI under Different Light Intensities

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      Table 3. PSNRs of Reconstructed Images of “Astronaut” with 3–6 Step FSI under Different Light Intensities

      PSNR (dB)
       3-Step4-Step5-Step6-Step
      StrongCase 122.2332.1322.6834.89
      Case 220.5821.8321.1925.34
      Case 330.7322.1031.47
      Case 421.9731.2422.5333.13
      WeakCase 118.6521.6020.2223.81
      Case 217.4618.9218.5319.06
      Case 320.2019.1222.35
      Case 417.8520.4819.8822.62
    • Table 4. SSIMs of Reconstructed Images of “Astronaut” with 3–6 Step FSI under Different Light Intensities

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      Table 4. SSIMs of Reconstructed Images of “Astronaut” with 3–6 Step FSI under Different Light Intensities

      SSIM
       3-Step4-Step5-Step6-Step
      StrongCase 10.450.840.470.92
      Case 20.360.570.380.58
      Case 30.730.450.76
      Case 40.420.750.460.80
      WeakCase 10.280.410.360.64
      Case 20.210.280.270.43
      Case 30.350.310.54
      Case 40.240.370.340.57
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    Zongguo Li, Biao Wang, Zhandong Liu, Kai Xu, Jinyi Jia, Hongguo Li, "Arbitrary n-step phase-shifting Fourier single-pixel imaging," Chin. Opt. Lett. 22, 081101 (2024)

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    Paper Information

    Category: Imaging Systems and Image Processing

    Received: Mar. 26, 2024

    Accepted: Apr. 25, 2024

    Published Online: Aug. 22, 2024

    The Author Email: Hongguo Li (lihongguo@tjut.edu.cn)

    DOI:10.3788/COL202422.081101

    CSTR:32184.14.COL202422.081101

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