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| An Image Reconstruction Method of ECT Based on Two-step Regularization Gauss-NewtonIterative Algorithm |
| ZHANG Lifeng1,2,CHEN Da1,2,LIU Weiliang1,2 |
1.Department of Automation, North China Electric Power University, Baoding, Hebei 071003, China
2.Baoding key Lab of State Detection & Optimization Regulation for Integrated Energy System, Baoding, Hebei 071003, China |
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Abstract Electrical capacitance tomography (ECT) is a nonlinear problem and has serious ill-posed. In order to improve the accuracy of image reconstruction, an ECT image reconstruction method based on two-step regularized Gauss-Newton iterative algorithm is proposed. Aiming at the non-convergence problem of standard regularized Gauss-Newton iterative algorithm in image reconstruction, a two-step iterative method is introduced. The regularization matrix is improved, which improves the accuracy of estimation. Considering the dependence of Gauss-Newton algorithm on the initial value of iteration, homotopy algorithm is added. Finally, the simulation and static experiment are carried out, and compared with the linear back projection (LBP) algorithm, Landweber algorithm and Tikhonov regularization algorithm, the results show that this method can effectively improve the accuracy of image reconstruction.
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Received: 05 June 2022
Published: 03 April 2024
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| Fund:The National Natural Science Foundation of China |
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| ［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.
|
| ［3］ |
LEDGER P D. hp-Finite element discretisation of the electrical impedance tomography problem ［J］. Computer Methods in Applied Mechanics Engineering, 2012, 225-228: 154-176.
|
|
WEN L M, ZHOU M M, LI M, et al. Improved Tikhonov regularization method for Image reconstruction ［J］. Atca Metrologica Sinica, 2018, 39(5): 679-683.
|
| ［6］ |
张雪纯. 基于广义矩阵的图像重建与分类算法研究［D］. 郑州: 中原工学院, 2021.
|
| ［8］ |
范文茹, 王化祥, 郝魁红. 基于两步迭代TV正则化的电阻抗图像重建算法［J］. 仪器仪表学报, 2012, 33(3): 625-630.
|
| ［9］ |
马敏, 何小芳, 李明, 等. 基于改进TSVD正则化的ECT图像重建算法［J］. 传感器与微系统, 2020, 39(4): 136-139.
|
| ［10］ |
毕波. 扩散光学层析成像重构算法的研究［D］. 哈尔滨: 哈尔滨工业大学, 2015.
|
|
ZHANG L F, ZHANG M. An optimization algorithm for electrical capacitance tomography image reconstruction ［J］. Atca Metrologica Sinica, 2021, 42(9): 1155-1159.
|
| ［13］ |
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.
|
| ［14］ |
唐利民. NLS问题的正则化修正高斯-牛顿法［J］. 工程勘察, 2009, 37(6): 58-61.
|
| ［15］ |
李国斌. 非线性不适定问题的两步迭代方法［D］. 上海: 华东师范大学, 2020.
|
| ［4］ |
杨健. 电容层析成像的图像重建算法研究［D］. 沈阳: 东北大学, 2012.
|
| ［11］ |
张慧. 求解线性离散不适定问题的改进Tikhonov算法［D］. 南京: 南京航空航天大学, 2015.
|
| ［1］ |
王化祥. 电学层析成像技术［M］. 北京: 科学出版社, 2013.
|
|
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.
|
|
FAN W R, WANG H X, HAO K H. Two-step iterative TV regularization algorithm for image reconstruction of electrical impedance tomography ［J］. Chinese Journal of Scientific Instrument, 2012, 33(3): 625-630.
|
|
MA M, HE X F, LI M, et al. Research on ECT image reconstruction algorithm based on improved TSVD regularization ［J］. Transducer and Microsystem Technologies, 2020, 39(4): 136-139.
|
|
TANG L M. Regularization modified Gauss-Newton method for solving NLS problem ［J］. Geotechnical Investigation & Surveying, 2009, 37(6): 58-61.
|
| ［16］ |
张江涛. 基于同伦延拓正则化的电容层析成像图像重建算法研究［D］. 哈尔滨: 东北林业大学, 2021.
|
| ［7］ |
SUN J T, TIAN W B, CHE H Q, et al. Proportional-integral controller modified Landweber iterative method for image reconstruction in electrical capacitance tomography ［J］. IEEE Sensors Journal, 2019, 19(19): 8790-8802.
|
|
MA M, SUN M J. Image reconstruction algorithms of ECT system based on the modified linearized Bregman algorithm ［J］. Atca Metrologica Sinica, 2021, 42(7): 879-884.
|
| ［5］ |
温丽梅, 周苗苗, 李明, 等. 改进的Tikhonov正则化图像重建算法［J］. 计量学报, 2018, 39(5): 679-683.
|
| ［12］ |
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.
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2024, Vol. 45 
