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

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 analys...

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Detalles Bibliográficos
Autores principales: Lei, Jing, Liu, Shi, Wang, Xueyao, Liu, Qibin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Molecular Diversity Preservation International (MDPI) 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3649401/
https://www.ncbi.nlm.nih.gov/pubmed/23385418
http://dx.doi.org/10.3390/s130202076
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author Lei, Jing
Liu, Shi
Wang, Xueyao
Liu, Qibin
author_facet Lei, Jing
Liu, Shi
Wang, Xueyao
Liu, Qibin
author_sort Lei, Jing
collection PubMed
description 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.
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spelling pubmed-36494012013-06-04 An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis Lei, Jing Liu, Shi Wang, Xueyao Liu, Qibin Sensors (Basel) Article 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. Molecular Diversity Preservation International (MDPI) 2013-02-05 /pmc/articles/PMC3649401/ /pubmed/23385418 http://dx.doi.org/10.3390/s130202076 Text en © 2013 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).
spellingShingle Article
Lei, Jing
Liu, Shi
Wang, Xueyao
Liu, Qibin
An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis
title An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis
title_full An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis
title_fullStr An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis
title_full_unstemmed An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis
title_short An Image Reconstruction Algorithm for Electrical Capacitance Tomography Based on Robust Principle Component Analysis
title_sort image reconstruction algorithm for electrical capacitance tomography based on robust principle component analysis
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3649401/
https://www.ncbi.nlm.nih.gov/pubmed/23385418
http://dx.doi.org/10.3390/s130202076
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