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| Image Reconstruction for Electrical Capacitance Tomography Based on Convolutional Sparse Coding |
| ZHANG Li-feng,LU Dong-chen |
| Department of Automation, North China Electric Power University, Baoding, Hebei 071003, China |
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Abstract Aiming at the ill-conditioned inverse problem of electrical capacitance tomography (ECT), a method of introducing convolution sparse coding model into ECT least squares problem as penalty is proposed. The model is solved by pre-trained filter and alternating direction method of multipliersr algorithm (ADMM), and the ECT image reconstruction is completed. The proposed method is simulated and tested experimentally, and compared with LBP, Tikhonov regularization and Landweber iterative algorithm. The results show that the average relative error and correlation coefficient of the reconstructed image obtained by the proposed method are 0.4389 and 0.8968, respectively, which are superior to the other three methods, and the reconstruction quality of central object and multi-object distribution is significantly improved.
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Received: 06 April 2022
Published: 17 July 2023
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Corresponding Authors:
Li-Feng ZHANG
E-mail: hdlfzhang@126.com
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|
| ［2］ |
赵玉磊, 郭宝龙, 闫允一. 电容层析成像技术的研究进展与分析［J］.仪器仪表学报, 2012, 33(8):1909-1920.
|
| ［3］ |
赵愉, 岳士弘, 张洋洋, 等. 航空发动机中气液两相流的可视化检测［J］. 北京航空航天大学学报, 2017, 43(11):2345-2351.
|
| ［4］ |
张立峰, 朱炎峰. 极限学习机在电容层析成像中的应用 ［J］. 电测与仪表, 2020, 57(9):146-152.
|
| ［5］ |
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.
|
|
Zhao Y, Yue S H, Zhang Y Y, et al. Visual detection of gas-liquid two-phase flow in aeroengine［J］. Journal of Beihang University, 2017,43 (11):2345-2351.
|
|
Zhang L F, Zhu Y F. Application of Extreme Learning Machine in Electrical Capacitance Tomography［J］. Electrical Measurement and Instrument, 2020, 57(9):
|
|
Ma M, Sun M J. ECT image reconstruction algorithm based on improved linear Bregman algorithm［J］. Acta Metrologica Sinica, 2021,42(7):879-884.
|
| ［7］ |
张立峰, 刘昭麟, 田沛. 基于压缩感知的电容层析成像图像重建算法［J］. 电子学报, 2017, 45(2):353-358.
|
| ［8］ |
王琦, 张荣华, 王金海, 等. 基于压缩感知的ECT/CT双模融合系统成像方法［J］.仪器仪表学报, 2014, 35(6):1338-1346.
|
| ［10］ |
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.
|
|
Acta Metrologica Sinica, 2021,42(5):595-602.
|
| ［11］ |
李雨, 史娜, 孔慧华. 基于全变分和梯度域卷积稀疏编码的稀疏角度CT重建算法［J］. 激光与光电子学进展, 2021, 58(12):339-348.
|
|
Zhao Y L, Guo B L, Yan Y Y. Research progress and analysis of electrical capacitance tomography［J］. Journal of Instrumentation, 2012,33(8):1909-1920.
|
|
Zhang L F, Liu Z L, Tian P. Image reconstruction algorithm of electrical capacitance tomography based on compressive sensing［J］. Journal of Electronics, 2017,45(2):353-358.
|
|
Wang Q, Zhang R H, Wang J H, et al. Imaging method of ECT/CT dual-mode fusion system based on compressed sensing［J］. Chinese Journal of Scientific Instrument, 2014,35(6):1338-1346.
|
| ［12］ |
Zeiler M, Krishnan D, Taylor G, et al. Deconvolutional networks［C］//Proceedings of the 2010 IEEE Computer Society Conference on computer vision and pattern recognition. IEEE, 2010:2528-2535.
|
| ［13］ |
Bao P, Xia W J, Yang K, et al.Convolutional Sparse Coding for Compressd Sensing CT Reconstruction［J］. IEEE Transactions on Medical Imaging, 2019,38(11):2607-2619.
|
| ［15］ |
陈楠, 张标. 多尺度半耦合卷积稀疏编码的遥感影像超分辨率重建［J］.计算机辅助设计与图形学学报, 2022, 34(3):382-391.
|
| ［16］ |
王丁东. 基于弱监督学习的医学图像跨模态超分辨率重建方法研究［D］. 成都:电子科技大学,2020.
|
| ［1］ |
王化祥.电学层析成像［M］.北京: 科学出版社,2013.
|
| ［6］ |
Lustig M, Donoho D, Pauly J M. Sparse MRI:the application of compressed sensing for rapid MR imaging［J］. Magnetic Resonance in Medicine, 2007, 58(8):1182-1195.
|
|
Li L, Shi N, Kong H H. Sparse angle CT reconstruction algorithm based on total variation and gradient domain convolutional sparse coding ［J］. Advances in Laser and Optoelectronics, 2021,58(12):339-348.
|
| 14 |
6-152.
|
|
Ma M, Liu Y F, Liu Y N. ECT Image Reconstruction Based on Improved Half-threshold Iterative Algorithm［J］.
|
| ［17］ |
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.
|
| ［9］ |
Ye J M, Wang H G, Yang W Q. Image Reconstruction for Electrical Capacitance Tomography Based on Sparse Representation［J］. IEEE Transactions on Instrumentation and Measurement, 2015,64(1):89-102.
|
|
Chen N, Zhang B. Super-resolution reconstruction of remote sensing images with multi-scale semi-coupled convolutional sparse coding ［J］. Journal of Computer Aided Design and Graphics, 2022,34(3):382-391.
|
| ［14］ |
韩娟娟. 面向张量卷积稀疏编码的结构化滤波器学习及其应用［D］. 石家庄:河北师范大学, 2021.
|
|
Zhang L F, Zhang M. An optimization algorithm of electrical capacitance tomography image reconstruction［J］. Acta Metrologica Sinica, 2021,42(9):1155-1159.
|
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|
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2023, Vol. 44 
