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Image Reconstruction of ECT Based on Second-order Hybrid Sensitivity Matrix |
CHEN Da,ZHANG Lifeng,FAN Zhenping |
Department of Automation, North China Electric Power University, Baoding, Hebei 071003, China |
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Abstract The use of electrical capacitance tomography technology to solve image reconstruction problems is a nonlinear problem. Usually, only the linear part of the sensitivity coefficients is preserved in the derivation process of sensitivity. However, the neglected nonlinear part also contains important imaging information. In order to improve the accuracy of image reconstruction, a second-order hybrid sensitivity matrix is established based on the mathematical definition of the second-order sensitivity coefficient, combined with fuzzy C-means clustering algorithm and electric field center line theory, and the matrix is introduced into the Landweber algorithm, proposing the second-order hybrid Landweber algorithm. Finally, simulation and static experiments are conducted and compared with the traditional Tikhonov and first-order Landweber algorithm, the results show that the second-order hybrid sensitivity matrix can improve the image reconstruction accuracy.
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Received: 26 May 2023
Published: 05 September 2024
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[12] |
LI Z G, CHEN Y. Flow regime transition in countercurrent packed column monitored by ECT [J]. Chemical Engineering Journal, 2021, 420: 129841.
|
[1] |
马敏, 刘一斐, 刘亚楠. 基于改进半阈值迭代算法的ECT图像重建 [J]. 计量学报, 2021, 42 (5): 595-602.
|
[15] |
张立峰, 朱枫. 电容层析成像混联归一化研究 [J]. 计量学报, 2018, 39 (5): 675-678.
|
[3] |
严春满, 刘晓敏. 基于双循环改进landweber电容层析成像图像重建 [J]. 传感技术学报, 2022, 35 (1): 107-113.
|
|
ZHAO J C, LIU J H, LI Z G, et al. Image reconstruction algorithm based on updated sensitivity field for ECT [J]. Computer Engineering and Applications, 2011, 48 (4): 167-169.
|
[7] |
WAJMAN R, BANASIAK R. Tunnel-based method of sensitivity matrix calculation for 3D-ECT imaging [J]. Sensor Review, 2014, 34 (3): 273-283.
|
|
ZHANG L F, WAMG H X. A modified Landweber algorithm for electrical resistance tomography [J]. Acta Metrologica Sinica, 2016, 37 (3): 271-274.
|
[9] |
DARMA P N, BAIDILLAH M R, SIFUNA M W, et al. Improvement of image reconstruction in electrical capacitance tomography (ECT) by sectorial sensitivity matrix using a K-means clustering algorithm [J]. Measurement Science and Technology, 2019, 30 (7): 075402.
|
[10] |
TAGHIZADEHA L, KARIMIA A, STADLBAUERA B, et al. Bayesian inversion for electrical-impedance tomography in medical imaging using the nonlinear Poisson-Boltzmann equation [J]. Computer Methods in Applied Mechanics and Engineering, 2020, 365: 112959.
|
[13] |
YANG W Q, BYARS M. An improved normalization approach for electrical capacitance tomography [C]//The 1st World Congress on Industrial Process Tomography. Buxton, UK, 1999.
|
|
ZHANG L F, ZHU F. Research on hybrid normalization model of electrical capacitance tomography [J]. Acta Metrologica Sinica, 2018, 39 (5): 675-678.
|
|
ZHANG L F, ZHANG M. An optimization algorithm for electrical capacitance tomography image reconstruction [J]. Atca Metrologica Sinica, 2021, 42 (9): 1155-1159.
|
[17] |
马敏, 孙美娟. 基于改进线性Bregman算法的ECT图像重建算法 [J]. 计量学报, 2021, 42 (7): 879-884.
|
[2] |
张立峰, 戴力. 基于鲁棒正则化极限学习机的电容层析成像图像重建 [J]. 计量学报, 2022, 43 (8): 1044-1049.
|
[6] |
赵进创, 刘金花, 黎志刚, 等. 改进敏感场的电容层析成像图像重建算法 [J]. 计算机工程与应用, 2011, 48 (4): 167-169.
|
[8] |
张立峰, 王化祥. 一种修正的电阻层析成像的Landweber迭代算法 [J]. 计量学报, 2016, 37 (3): 271-274.
|
[14] |
KIM Y S, LEE S H, IJAZ U Z, et al. Sensitivity map generation in electrical capacitance tomography using mixed normalization models [J]. Measurement Science and Technology, 2007, 18 (7): 2092-2102.
|
[16] |
张立峰, 张明. 一种电容层析成像图像重建优化算法 [J]. 计量学报, 2021, 42 (9): 1155-1159.
|
|
MA M, LIU Y F, LIU Y N. ECT Image reconstruction based on improved half-threshold iterative algorithm [J]. Atca Metrologica Sinica, 2021, 42 (5): 595-602.
|
|
ZHANG L F, DAI L. Image reconstruction based on robust regularized extreme learning machine for electrical capacitance tomography [J]. Atca Metrologica Sinica, 2022, 43 (8): 1044-1049.
|
|
YAN C M, LIU X M. Image reconstruction of electrical capacitance tomography based on double circulation improved Landweber [J]. Chinese Journal of Sensors and Actuators, 2022, 35 (1): 107-113.
|
[4] |
姚佳烽, 车权齐, 李志伟, 等. 电容层析成像技术研究进展 [J]. 机械制造与自动化, 2022, 51 (5): 1-7+25.
|
|
YAO J F, CHE Q Q, LI Z W, et al. Research progress of electrical capacitance tomography [J]. Machine Building & Automation, 2022, 51 (5): 1-7+25.
|
[5] |
SMOLIK W T, RADOMSKI D. Performance evaluation of an iterative image reconstruction algorithm with sensitivity matrix updating based on real measurements for electrical capacitance tomography [J]. Measurement Science and Technology, 2009, 20 (11): 115502.
|
[11] |
DING M L, YUE S H, LI J, et al. Second-order sensitivity coefficient based electrical tomography imaging [J]. Chemical Engineering Science, 2019, 199: 40-49.
|
[18] |
王迪, 董素芬, 程芳, 等. HSV空间下改进的直觉模糊C均值聚类猪肉图像检测 [J]. 计量学报, 2021, 42 (8): 986-992.
|
|
MA M, SUN M J. Image reconstruction algorithms of ECT system based on the modified linearized Bregman algorithm [J]. Acta Metrologica Sinica, 2021, 42 (7): 879-884.
|
|
WANG D, DONG S F, CHENG F. Improved intuitionistic fuzzy C-means clustering pork image detection in HSV space [J]. Acta Metrologica Sinica, 2021, 42 (8): 986-992.
|
|
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