• Laser & Optoelectronics Progress
  • Vol. 58, Issue 12, 1210025 (2021)
Min Ma*, Yifei Liu, and Shixi Wang
Author Affiliations
  • College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China
  • show less
    DOI: 10.3788/LOP202158.1210025 Cite this Article Set citation alerts
    Min Ma, Yifei Liu, Shixi Wang. Electrical Capacitance Tomography Sensitivity Field Optimization Algorithm Based on Approximate L0 Norm[J]. Laser & Optoelectronics Progress, 2021, 58(12): 1210025 Copy Citation Text show less
    ECT capacitance sensor. (a) Structure of 12-electrode ECT sensor; (b) excitation state of electrode 1
    Fig. 1. ECT capacitance sensor. (a) Structure of 12-electrode ECT sensor; (b) excitation state of electrode 1
    Three-dimensional distribution model of sensitivity between 1-7 electrode couple
    Fig. 2. Three-dimensional distribution model of sensitivity between 1-7 electrode couple
    Imaging region convolution model
    Fig. 3. Imaging region convolution model
    Comparison of sensitivity gradients between 1-7 electrode couple before and after updating. (a) Before updating; (b) after updating
    Fig. 4. Comparison of sensitivity gradients between 1-7 electrode couple before and after updating. (a) Before updating; (b) after updating
    Updating process of finite element sensitivity. (a) Updating process of finite element sensitivity S(i,j)(u) in sensitive field; (b) updating process of adjacent finite element sensitivity S(i,j)(u)
    Fig. 5. Updating process of finite element sensitivity. (a) Updating process of finite element sensitivity S(i,j)(u) in sensitive field; (b) updating process of adjacent finite element sensitivity S(i,j)(u)
    Change curves of sensitivity gradient of 1-7 electrode couple under different iteration times. (a) Original sensitivity curves; (b) Once; (c) Two times; (d) three times; (e) four times; (f) five times
    Fig. 6. Change curves of sensitivity gradient of 1-7 electrode couple under different iteration times. (a) Original sensitivity curves; (b) Once; (c) Two times; (d) three times; (e) four times; (f) five times
    Diagram of segmentation network and pixel distribution
    Fig. 7. Diagram of segmentation network and pixel distribution
    Sensitive field intensity changes under different iteration times and imaging comparison with Landweber algorithm
    Fig. 8. Sensitive field intensity changes under different iteration times and imaging comparison with Landweber algorithm
    IME values with different iteration times
    Fig. 9. IME values with different iteration times
    CORR values with different iteration times
    Fig. 10. CORR values with different iteration times
    Images made by different algorithms
    Fig. 11. Images made by different algorithms
    IME histograms of different algorithms
    Fig. 12. IME histograms of different algorithms
    CORR histograms of different algorithms
    Fig. 13. CORR histograms of different algorithms
    12 electrode ECT system
    Fig. 14. 12 electrode ECT system
    Experimental results of static imaging
    Fig. 15. Experimental results of static imaging
    AlgorithmCoreFloorFanFour bubblesFive bubblesSix bubbles
    Tikhonov0.26730.26380.42610.56400.64680.5830
    Landweber0.24720.25140.41510.47670.62000.5348
    Approximate L00.25300.20080.36500.38310.58370.6348
    Improved algorithm0.24360.18070.28740.37130.51540.5546
    Table 1. IME results for different algorithms
    AlgorithmCoreFloorFanFour bubblesFive bubblesSix bubbles
    Tikhonov0.83410.87660.81560.56250.57350.4697
    Landweber0.81660.87050.82620.55050.57910.5177
    Approximate L00.91250.85480.82900.79920.64620.5946
    Improved algorithm0.91520.86110.84620.81910.69550.6735
    Table 2. CORR results for different algorithms
    Min Ma, Yifei Liu, Shixi Wang. Electrical Capacitance Tomography Sensitivity Field Optimization Algorithm Based on Approximate L0 Norm[J]. Laser & Optoelectronics Progress, 2021, 58(12): 1210025
    Download Citation