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Sensors 2013, 13(2), 2076-2092; doi:10.3390/s130202076
Article

An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis

1,* , 1
, 2
 and 2
1 Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Beijing 102206, China 2 Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China
* Author to whom correspondence should be addressed.
Received: 6 December 2012 / Revised: 23 January 2013 / Accepted: 1 February 2013 / Published: 5 February 2013
(This article belongs to the Section Physical Sensors)
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Abstract

Electrical capacitance tomography (ECT) attempts to reconstruct the permittivity distribution of the cross-section of measurement objects from the capacitance measurement data, in which reconstruction algorithms play a crucial role in real applications. Based on the robust principal component analysis (RPCA) method, a dynamic reconstruction model that utilizes the multiple measurement vectors is presented in this paper, in which the evolution process of a dynamic object is considered as a sequence of images with different temporal sparse deviations from a common background. An objective functional that simultaneously considers the temporal constraint and the spatial constraint is proposed, where the images are reconstructed by a batching pattern. An iteration scheme that integrates the advantages of the alternating direction iteration optimization (ADIO) method and the forward-backward splitting (FBS) technique is developed for solving the proposed objective functional. Numerical simulations are implemented to validate the feasibility of the proposed algorithm.
Keywords: electrical capacitance tomography; capacitance sensor; image reconstruction; inverse problem; robust principle component analysis; forward-backward splitting technique; alternating direction iteration optimization method electrical capacitance tomography; capacitance sensor; image reconstruction; inverse problem; robust principle component analysis; forward-backward splitting technique; alternating direction iteration optimization method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Lei, J.; Liu, S.; Wang, X.; Liu, Q. An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis. Sensors 2013, 13, 2076-2092.

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