Acta Optica Sinica, Volume. 45, Issue 14, 1420020(2025)

Comparative Study of Single‐Pixel Imaging Effect Using Different Orthogonal Bases Under Undersampling Conditions

Liyuan Xu1,2, Zizhuo Lin1,2, Haolin Song1,2, Jiwei Wu1,2, Tong Liu1,2, Zhengliang Liu2,3, Linlin Chen1,2, and Yuan Ren2,3、*
Author Affiliations
  • 1Department of Aerospace Engineering and Technology, Space Engineering University, Beijing 101416, China
  • 2Lab of Quantum Detection & Awareness, Space Engineering University, Beijing 101416, China
  • 3Department of Basic Course, Space Engineering University, Beijing 101416, China
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    Figures & Tables(23)
    Principles of single-pixel imaging with different orthogonal bases. (a1)‒(a3) LGSI; (b1)‒(b3) FSI; (c1)‒(c3) HSI
    Intensity and phase distributions of different LG modes at positions of z=0 mm and z=600 mm. (a) Intensity distributions;
    Comparison of transmission in different modulated light fields. (a1)‒(a3) Complex amplitude interference light field (z0=0 mm); (b1)‒(b3) pure amplitude interference light field (z0=0 mm); (c1)‒(c3) complex amplitude interference light field (z0=-600 mm)
    Different sampling strategies. (a) Zigzag path; (b) circular path; (c) intensity distribution of LG080; (d) intensity distribution of LG400
    [in Chinese]
    (c) SSIM
    Simulation results of Cameraman. (a) Simulated reconstruction results of Cameraman at different sampling rates; (b) regions corresponding to the evaluation metrics; (c) magnified views of the dashed box areas in Fig. 7 (a)
    Evaluation metrics corresponding to the Cameraman simulation reconstruction results. (a) RMSE; (b) PSNR; (c) SSIM
    Simulation reconstruction results of a Siemens star at different sampling rates
    Evaluation metrics corresponding to the simulation reconstruction results of the Siemens star. (a) RMSE; (b) PSNR; (c) SSIM
    Simulation reconstruction results of the USAF1951 resolution plate at different sampling rates
    Evaluation metrics corresponding to the simulation reconstruction results of the USAF1951 resolution plate. (a) RMSE;
    Comparison of Cameraman simulation reconstruction results under different SNRs
    Evaluation metrics corresponding to the simulation reconstruction results of Cameraman under different SNRs. (a) RMSE;
    Experimental setup
    [in Chinese]
    Experimental reconstruction results of Cameraman under different sampling rates
    Experimental reconstruction results of Siemens star under different sampling rates
    Experimental reconstruction results of USAF1951 resolution plate under different sampling rates
    Comparison of the optical field intensities at different distances in the LGSI experiment. (a) Projection process; (b) complex amplitude interference optical field (z0=0 mm); (c) pure amplitude interference optical field (z0=0 mm); (d) complex amplitude interference optical field after distance compensation (z0=-600 mm)
    Reconstruction results at different distances. (a1)(a2) Pure amplitude LGSI; (b1)(b2) FSI; (c1)(c2) HSI; (d1)(d2) CLGSI; (e) reconstruction results of CLGSI at z0=600 mm after distance compensation
    Reconstruction results of LGSI under different waist radii. (a) ω0=0.4; (b) ω0=0.5; (c) ω0=0.6
    • Table 1. Comparison of LGSI, FSI and HSI imaging methods

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      Table 1. Comparison of LGSI, FSI and HSI imaging methods

      ItemLGSIFSIHSI
      Projection modeGrayscaleGrayscaleBinary
      ResolutionHigh at center, low aroundConsistent within the field of viewConsistent within the field of view
      Imaging at different distancesYesNoNo
      Noise robustnessLowMediumHigh
      Tval3 algorithm improvementObviousNot obviousObvious
      High-speed imaging without quantization errorNoNoYes
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    Liyuan Xu, Zizhuo Lin, Haolin Song, Jiwei Wu, Tong Liu, Zhengliang Liu, Linlin Chen, Yuan Ren. Comparative Study of Single‐Pixel Imaging Effect Using Different Orthogonal Bases Under Undersampling Conditions[J]. Acta Optica Sinica, 2025, 45(14): 1420020

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    Paper Information

    Category: Optics in Computing

    Received: Feb. 28, 2025

    Accepted: Apr. 13, 2025

    Published Online: Jul. 22, 2025

    The Author Email: Yuan Ren (renyuan_821@aliyun.com)

    DOI:10.3788/AOS250673

    CSTR:32393.14.AOS250673

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