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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Molecular Diversity Preservation International (MDPI)
2013
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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. |
format | Online Article Text |
id | pubmed-3649401 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Molecular Diversity Preservation International (MDPI) |
record_format | MEDLINE/PubMed |
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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