Laser & Optoelectronics Progress, Volume. 60, Issue 16, 1611003(2023)

Research on Optical Tomography Based on Optimized Landweber Algorithm

Jiyang Yao, Xiaozhao Zheng, Huajun Li*, and Shanen Yu
Author Affiliations
  • School of Automation, Hangzhou Dianzi University, Hangzhou 310016, Zhejiang, China
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    Figures & Tables(10)
    Schematic diagram of objects scanned by light emitter
    Schematic diagram of one ray projection
    Schematic diagram of 25×25 sensor array.(a) Light distribution diagram; (b) diagram of sensitive field
    Schematic diagrams of five section distribution scenarios.(a) 15 radius circle with 'hard edge'; (b) 20 radius circle with 'hard edge';(c) Gauss circle of radius 10 with 'soft edge'; (d) 10 and 20 radius circles with 'hard edge'; (e) 15 and 20 radius circles with 'hard edge'
    Comparison curve of iteration times and relative error of different algorithms. (a) Scene 1; (b) scene 2; (c) scene 3; (d) scene 4; (e) scene 5
    Comparison of images reconstructed by different algorithms in different scenes
    • Table 1. Relative error comparison of 1000 iterations and 4000 iterations

      View table

      Table 1. Relative error comparison of 1000 iterations and 4000 iterations

      SceneLWLWPLWAP
      1000 iterations4000 iterations1000 iterations4000 iterations1000 iterations4000 iterations
      10.09440.03370.01243.236E-040.00146.925E-05
      20.11110.08000.06130.03600.04440.0169
      30.15080.12120.10350.08420.09050.0704
      40.11600.09150.08560.06440.07250.0466
      50.13370.10820.09260.07520.08130.0628
    • Table 2. Analysis of iteration times and iteration time required for same relative error

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      Table 2. Analysis of iteration times and iteration time required for same relative error

      Scene

      Relative error

      δ

      LWLWPLWAP
      Number of iterationsTime /sNumber of iterationsTime /sNumber of iterationsTime /s
      10.04145305311.402503.421001.60
      20.0919724617.152633.891001.64
      30.1293027829.402683.801001.46
      40.1028018646.912603.491001.38
      50.1217019416.482212.961001.39
    • Table 3. Comparison of reconstructed image data by reconstruction algorithm

      View table

      Table 3. Comparison of reconstructed image data by reconstruction algorithm

      SceneTIKLWLWPLWAP
      δβδβδβδβ
      10.39990.90350.03590.99910.00611.00000.00241.0000
      20.35320.92060.07390.99630.04510.99830.02170.9995
      30.45930.95060.14650.97970.10120.98960.08960.9919
      40.34950.91050.08950.99440.06500.99760.05050.9986
      50.40600.91560.09540.99110.07320.99630.06360.9974
    • Table 4. Comparison of iteration times and time between LW algorithm and two improved algorithms

      View table

      Table 4. Comparison of iteration times and time between LW algorithm and two improved algorithms

      SceneLWLWPLWAP
      Iteration timesTime /sIteration timesTime /sIteration timesTime /s
      1369325.98147535.9684020.37
      2509528.98245654.71313456.01
      312663.75115415.36106915.83
      4470013.76386758.29327153.03
      5794522.76485173.91379456.71
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    Jiyang Yao, Xiaozhao Zheng, Huajun Li, Shanen Yu. Research on Optical Tomography Based on Optimized Landweber Algorithm[J]. Laser & Optoelectronics Progress, 2023, 60(16): 1611003

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    Paper Information

    Category: Imaging Systems

    Received: Aug. 19, 2022

    Accepted: Oct. 27, 2022

    Published Online: Aug. 18, 2023

    The Author Email: Li Huajun (hjli@hdu.edu.cn)

    DOI:10.3788/LOP222331

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