Image Reconstruction of Planar Electrical Capacitance Tomography Based on Compressed Sensing Algorithm
ZHANG Li-feng1,ZHANG Bo-xiong1,HUA Hui-chun2
1. Department of Automation,North China Electric Power University,Baoding,Hebei 071003,China
2. Department of Mathematics and Physics,North China Electric Power University,Baoding,Hebei 071003,China
Abstract:Image reconstruction algorithm based on compressed sensing theory is proposed for planar electrical capacitance tomography (PECT). According to the relation between capacitance measurements of the planar array electrode and the distance between the electrode pairs,the number of independent measurements is cut down. Based on the ill conditioned characteristics of image reconstruction and the sparsity of dielectric constant of defect model,the gradient projection (GPSR-BB) algorithm based on compressive sensing theory is applied to PECT. The simulation and experiment of composite defect detection are carried out using GPSR-BB algorithm and compared with LBP algorithm,Tikhonov regularization algorithm and Landweber algorithm. Results show that the quality of reconstructed images is obviously improved.
Zhao B L, Guo B L, Yan Y Y. Latest development and analysis of electrical capacitance tomography technology[J]. Chinese Journal of Scientific Instrument, 2012, 33 (8): 1909-1920.
Zhang L F, Wang H X. A new combined-electrode exciting-measuring mode for electrical capacitance tomography[J]. CIESC Journal, 2012, 63 (3): 860-865.
Liu Z L, Wen Y T, Liang X, et al. Three-dimensional simulation study of planar capacitive sensor array based on ANSYS[J]. Transducer and Microsystem Technologies, 2016, 35(4): 45-48.
Zhu G Q, Yang H M, Li J, et al. Comparison of image reconstruction algorithms of electrical capacitance tomography[J]. Electronic Science and Technology, 2020, 33(11): 41-45.
Yan C M, Mu Z. Application of an improved gradient accelerated landweber algorithm in ECT image reconstruction[J]. Journal of Electronic Measurement and Instrumentation, 2021, 35(6): 169-175.
Wen Y T, Jia Y, Zhang Y Y T, et al. Study on the non-destructive detection of the adhesive layer of thermal insulation material based on improved ECT[J]. Chinese Journal of Scientific Instrument, 2016, 37(7): 1596-1602.
Zhang L F, Song Y J. Image reconstruction for electrical capacitance tomography based on barzilai-borwein gradient projection for sparse reconstruction algorithm[J]. Acta Metrology sinica, 2019, 40(4): 631-635.
Suo P, Sun J, Tian W, et al. 3-D Image Reconstruction in Planar Array ECT by Combining Depth Estimation and Sparse Representation [J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 1-9.
[4]
Ren Z, Yang W. A Miniature Two-Plate Electrical Capacitance Tomography Sensor [J]. IEEE Sensors Journal, 2015, 15(5): 3037-3049.
Fan W R, Dong Y Z. Design and optimization of planar capacitive sensor for CFRP sheet[J]. Chinese Journal of Scientific Instrument, 2020, 41(7): 67-71.
Wen Y T, Cao P P, Tian H G, et al. An Optimized Planar Array Capacitance Imaging Algorithm Based on FCM[J]. Acta Metrology sinica, 2020, 41(2): 231-237.
Zhang Y Y, Yin D Z, Wen Y T, et al. Planar array capacitance imaging based on adaptive Kalman filter[J]. Acta Physica sinica, 2020, 41(2): 231-237.
Zhang L F, Liu Z L, Tian P. Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Compressed Sensing[J]. Acta Electronica Sinica, 2017, 45(2): 353-358.
Ma M, Guo P F, Dong Y Z. Defect detection of composite materials based on dual-plane capacitance sensor[J]. Computer Applications and Software, 2021, 38(1): 82-86.