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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 (CC BY 3.0).

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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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