Towards a Combination of Low Rank and Sparsity in EIT Imaging

Electrical impedance tomography (EIT) calculates the internal conductivity distribution of a body using electrical contact measurement and has become increasingly attractive in the biomedical field. However, the design of optimal tomography image reconstruction algorithms has not achieved an adequat...

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Main Authors: Qi Wang, Fei Li, Jianming Wang, Xiaojie Duan, Xiuyan Li
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8869766/
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author Qi Wang
Fei Li
Jianming Wang
Xiaojie Duan
Xiuyan Li
author_facet Qi Wang
Fei Li
Jianming Wang
Xiaojie Duan
Xiuyan Li
author_sort Qi Wang
collection DOAJ
description Electrical impedance tomography (EIT) calculates the internal conductivity distribution of a body using electrical contact measurement and has become increasingly attractive in the biomedical field. However, the design of optimal tomography image reconstruction algorithms has not achieved an adequate level of progress and maturity. The spatial-temporal properties are crucial for the improvement of reconstruction quality and efficiency in dynamic EIT reconstruction. However, these properties have not been fully utilized in previous research. In this paper, a mathematical model for EIT reconstruction is built upon a combination of the low-rank and the sparsity theories. In addition to the low-rank method based on the nuclear norm constraint, the patch-based sparse method is also used to obtain the spatial features of a reconstructed image, according to the characteristic of an irregular boundary for the EIT image. The mathematical model of the new method is solved using the variable split (VS) algorithm. The imaging results are compared with the reconstruction results of the traditional algorithms. The experimental results demonstrate better performance of the new method compared with the traditional methods. The effectiveness of the proposed scheme is verified.
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spelling doaj.art-8be42d92257f4271af7692daed87264c2022-12-21T20:19:31ZengIEEEIEEE Access2169-35362019-01-01715605415606410.1109/ACCESS.2019.29474398869766Towards a Combination of Low Rank and Sparsity in EIT ImagingQi Wang0Fei Li1https://orcid.org/0000-0001-9864-9569Jianming Wang2Xiaojie Duan3Xiuyan Li4Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin, ChinaTianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin, ChinaTianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin, ChinaTianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin, ChinaTianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin Polytechnic University, Tianjin, ChinaElectrical impedance tomography (EIT) calculates the internal conductivity distribution of a body using electrical contact measurement and has become increasingly attractive in the biomedical field. However, the design of optimal tomography image reconstruction algorithms has not achieved an adequate level of progress and maturity. The spatial-temporal properties are crucial for the improvement of reconstruction quality and efficiency in dynamic EIT reconstruction. However, these properties have not been fully utilized in previous research. In this paper, a mathematical model for EIT reconstruction is built upon a combination of the low-rank and the sparsity theories. In addition to the low-rank method based on the nuclear norm constraint, the patch-based sparse method is also used to obtain the spatial features of a reconstructed image, according to the characteristic of an irregular boundary for the EIT image. The mathematical model of the new method is solved using the variable split (VS) algorithm. The imaging results are compared with the reconstruction results of the traditional algorithms. The experimental results demonstrate better performance of the new method compared with the traditional methods. The effectiveness of the proposed scheme is verified.https://ieeexplore.ieee.org/document/8869766/Dynamic image reconstructionelectrical impedance tomographylow-ranksparselyspatial-temporal
spellingShingle Qi Wang
Fei Li
Jianming Wang
Xiaojie Duan
Xiuyan Li
Towards a Combination of Low Rank and Sparsity in EIT Imaging
IEEE Access
Dynamic image reconstruction
electrical impedance tomography
low-rank
sparsely
spatial-temporal
title Towards a Combination of Low Rank and Sparsity in EIT Imaging
title_full Towards a Combination of Low Rank and Sparsity in EIT Imaging
title_fullStr Towards a Combination of Low Rank and Sparsity in EIT Imaging
title_full_unstemmed Towards a Combination of Low Rank and Sparsity in EIT Imaging
title_short Towards a Combination of Low Rank and Sparsity in EIT Imaging
title_sort towards a combination of low rank and sparsity in eit imaging
topic Dynamic image reconstruction
electrical impedance tomography
low-rank
sparsely
spatial-temporal
url https://ieeexplore.ieee.org/document/8869766/
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AT jianmingwang towardsacombinationoflowrankandsparsityineitimaging
AT xiaojieduan towardsacombinationoflowrankandsparsityineitimaging
AT xiuyanli towardsacombinationoflowrankandsparsityineitimaging