• Laser & Optoelectronics Progress
  • Vol. 59, Issue 23, 2320002 (2022)
Mingzhe Li1, Jia Wang1, Dangjuan Li1, Mi Zhou2..., Junxia Cheng1 and Shenjiang Wu1,*|Show fewer author(s)
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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    DOI: 10.3788/LOP202259 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Schematic diagram of coordinate systems in ECT system with multiple cameras
    Fig. 1. Schematic diagram of coordinate systems in ECT system with multiple cameras
    Schematic diagram of camera projection imaging process
    Fig. 2. 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
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. 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
    Fig. 6. 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
    Fig. 7. Projections of propane Bunsen flame in 3D space
    Reconstruction of a flame in 3D space. (a) Side 1; (b) side 2
    Fig. 8. Reconstruction of a flame in 3D space. (a) Side 1; (b) side 2
    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 1. Rotation matrix 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
    Table 2. Focus lengths and translation vectors by camera calibration
    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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