Laser & Optoelectronics Progress, Volume. 59, Issue 23, 2320002(2022)

Reconstruction Technology for Three-Dimensional Emission Computerized Tomography Based on Linear Interpolation Theory

Mingzhe Li1, Jia Wang1, Dangjuan Li1, Mi Zhou2, Junxia Cheng1, and Shenjiang Wu1、*
Author Affiliations
  • 1School of Optoelectronic Engineering, Xi'an Technological University, Xi'an 710021, Shaanxi , China
  • 2Shaanxi Applied Physics and Chemistry Research Institute, Xi'an 710061, Shaanxi , China
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    Figures & Tables(10)
    Schematic diagram of coordinate systems in ECT system with multiple cameras
    Schematic diagram of camera projection imaging process
    Projections of a cube at different Euler angles. (a) Theoretical values; (b) calculated by weight matrix in reference[9]; (c) calculated by weight matrix using linear interpolation principle
    Influence of sampling points on reconstruction. (a) Reconstruction parameters Cor; (b) reconstruction parameters RMSE; (c) reconstruction results
    Influence of IM on reconstruction. (a) Reconstruction parameters Cor; (b) reconstruction parameters RMSE; (c) reconstruction results
    Shepp-Logan model and its reconstruction results. (a) Simulation; (b) reconstrction; (c) reconstrcution using linear interpolation principle
    Projections of propane Bunsen flame in 3D space
    Reconstruction of a flame in 3D space. (a) Side 1; (b) side 2
    • Table 1. Rotation matrix by camera calibration

      View table

      Table 1. Rotation matrix by camera calibration

      Camerar1r2r3r4r5r6r7r8r9
      10.1254-0.01250.98360.01590.99980.0114-0.98350.01420.1256
      20.3524-0.01270.9287-0.00910.99980.0265-0.9288-0.01780.3523
      30.6074-0.01220.78950.00600.99990.0171-0.7896-0.00560.6075
      40.7836-0.01320.61220.00380.99990.0257-0.6124-0.01780.7836
      50.9275-0.01790.36340.01220.99980.0263-0.3638-0.01990.9275
      60.9919-0.01910.10900.01740.99980.0287-0.1096-0.02660.9920
      70.98890.0014-0.13130.00300.99960.02490.1313-0.02500.9885
      80.92030.0051-0.37880.01300.99900.04770.3787-0.04880.9193
      90.80400.0066-0.58320.00570.99980.01750.5832-0.01740.8038
      100.62730.0132-0.77350.00900.99970.02550.7735-0.02290.6269
      110.36840.0056-0.92110.01120.99990.02350.9212-0.01900.3683
      120.18070.0213-0.95810.01260.99960.03240.9584-0.01790.1804
    • Table 2. Focus lengths and translation vectors by camera calibration

      View table

      Table 2. Focus lengths and translation vectors by camera calibration

      Cameraf /mmTx /mmTy /mmTz /mm
      112.2802-0.3455-1.6015562.4166
      212.2819-17.9035-14.0067565.0399
      312.28251.2855-6.7078563.0232
      412.2753-7.2991-10.7164563.0174
      512.274511.6653-9.6006566.5004
      612.276413.5756-11.5735565.4704
      712.27457.9182-9.0789572.8347
      812.27125.4349-19.0271572.2096
      912.2731-2.7131-5.6234569.6786
      1012.2800-3.0467-10.7830569.1206
      1112.278319.5407-10.7956576.4480
      1212.2797-14.1232-10.7428574.7787
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    Mingzhe Li, Jia Wang, Dangjuan Li, Mi Zhou, Junxia Cheng, Shenjiang Wu. Reconstruction Technology for Three-Dimensional Emission Computerized Tomography Based on Linear Interpolation Theory[J]. Laser & Optoelectronics Progress, 2022, 59(23): 2320002

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    Paper Information

    Category: Optics in Computing

    Received: Feb. 21, 2022

    Accepted: Jun. 13, 2022

    Published Online: Dec. 9, 2022

    The Author Email: Shenjiang Wu (bxait@xatu.edu.cn)

    DOI:10.3788/LOP202259

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