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Image Reconstruction for ECT under Compressed Sensing Framework Based on an Overcomplete Dictionary

Xuebin Qin1,*, Yutong Shen1, Jiachen Hu1, Mingqiao Li1, Peijiao Yang1, Chenchen Ji1, Xinlong Zhu2

1 School of Electrical and Control Engineering, Xi’an University of Science and Technology, Xi’an, 710054, China
2 Shaanxi Coal and Shaanbei Mining Co., Ltd., Xi’an, 719000, China

* Corresponding Author: Xuebin Qin. Email:

(This article belongs to this Special Issue: Mechanical Reliability of Advanced Materials and Structures for Harsh Applications)

Computer Modeling in Engineering & Sciences 2022, 130(3), 1699-1717.


Electrical capacitance tomography (ECT) has great application potential in multiphase process monitoring, and its visualization results are of great significance for studying the changes in two-phase flow in closed environments. In this paper, compressed sensing (CS) theory based on dictionary learning is introduced to the inverse problem of ECT, and the K-SVD algorithm is used to learn the overcomplete dictionary to establish a nonlinear mapping between observed capacitance and sparse space. Because the trained overcomplete dictionary has the property to match few features of interest in the reconstructed image of ECT, it is not necessary to rely on the sparsity of coefficient vector to solve the nonlinear mapping as most algorithms based on CS theory. Two-phase flow distribution in a cylindrical pipe was modeled and simulated, and three variations without sparse constraint based on Landweber, Tikhonov, and Newton-Raphson algorithms were used to rapidly reconstruct a 2-D image.


Cite This Article

Qin, X., Shen, Y., Hu, J., Li, M., Yang, P. et al. (2022). Image Reconstruction for ECT under Compressed Sensing Framework Based on an Overcomplete Dictionary. CMES-Computer Modeling in Engineering & Sciences, 130(3), 1699–1717.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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