title: An image reconstruction algorithm for electrical capacitance tomography based on robust principle component analysis.
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.
authors: Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Beijing, China. leijing2002@126.com
authors: Jing
authors: J
authors: Lei
authors: Shi
authors: S
authors: Liu
authors: Xueyao
authors: X
authors: Wang
authors: Qibin
authors: Q
authors: Liu
references: IEEE Trans Med Imaging. 2011 May;30(5):1064-75
references: 20729163
references: Phys Med Biol. 2011 Jun 7;56(11):3181-98
references: 21540490