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Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition

BACKGROUND: The inverse problem of fluorescent molecular tomography (FMT) often involves complex large-scale matrix operations, which may lead to unacceptable computational errors and complexity. In this research, a tree structured Schur complement decomposition strategy is proposed to accelerate th...

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Detalles Bibliográficos
Autores principales: Zou, Wei, Wang, Jiajun, Feng, David Dagan
Formato: Texto
Lenguaje:English
Publicado: BioMed Central 2010
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2893184/
https://www.ncbi.nlm.nih.gov/pubmed/20482886
http://dx.doi.org/10.1186/1475-925X-9-20
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author Zou, Wei
Wang, Jiajun
Feng, David Dagan
author_facet Zou, Wei
Wang, Jiajun
Feng, David Dagan
author_sort Zou, Wei
collection PubMed
description BACKGROUND: The inverse problem of fluorescent molecular tomography (FMT) often involves complex large-scale matrix operations, which may lead to unacceptable computational errors and complexity. In this research, a tree structured Schur complement decomposition strategy is proposed to accelerate the reconstruction process and reduce the computational complexity. Additionally, an adaptive regularization scheme is developed to improve the ill-posedness of the inverse problem. METHODS: The global system is decomposed level by level with the Schur complement system along two paths in the tree structure. The resultant subsystems are solved in combination with the biconjugate gradient method. The mesh for the inverse problem is generated incorporating the prior information. During the reconstruction, the regularization parameters are adaptive not only to the spatial variations but also to the variations of the objective function to tackle the ill-posed nature of the inverse problem. RESULTS: Simulation results demonstrate that the strategy of the tree structured Schur complement decomposition obviously outperforms the previous methods, such as the conventional Conjugate-Gradient (CG) and the Schur CG methods, in both reconstruction accuracy and speed. As compared with the Tikhonov regularization method, the adaptive regularization scheme can significantly improve ill-posedness of the inverse problem. CONCLUSIONS: The methods proposed in this paper can significantly improve the reconstructed image quality of FMT and accelerate the reconstruction process.
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spelling pubmed-28931842010-06-29 Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition Zou, Wei Wang, Jiajun Feng, David Dagan Biomed Eng Online Research BACKGROUND: The inverse problem of fluorescent molecular tomography (FMT) often involves complex large-scale matrix operations, which may lead to unacceptable computational errors and complexity. In this research, a tree structured Schur complement decomposition strategy is proposed to accelerate the reconstruction process and reduce the computational complexity. Additionally, an adaptive regularization scheme is developed to improve the ill-posedness of the inverse problem. METHODS: The global system is decomposed level by level with the Schur complement system along two paths in the tree structure. The resultant subsystems are solved in combination with the biconjugate gradient method. The mesh for the inverse problem is generated incorporating the prior information. During the reconstruction, the regularization parameters are adaptive not only to the spatial variations but also to the variations of the objective function to tackle the ill-posed nature of the inverse problem. RESULTS: Simulation results demonstrate that the strategy of the tree structured Schur complement decomposition obviously outperforms the previous methods, such as the conventional Conjugate-Gradient (CG) and the Schur CG methods, in both reconstruction accuracy and speed. As compared with the Tikhonov regularization method, the adaptive regularization scheme can significantly improve ill-posedness of the inverse problem. CONCLUSIONS: The methods proposed in this paper can significantly improve the reconstructed image quality of FMT and accelerate the reconstruction process. BioMed Central 2010-05-20 /pmc/articles/PMC2893184/ /pubmed/20482886 http://dx.doi.org/10.1186/1475-925X-9-20 Text en Copyright ©2010 Zou et al; licensee BioMed Central Ltd. http://creativecommons.org/licenses/by/2.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research
Zou, Wei
Wang, Jiajun
Feng, David Dagan
Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition
title Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition
title_full Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition
title_fullStr Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition
title_full_unstemmed Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition
title_short Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition
title_sort image reconstruction of fluorescent molecular tomography based on the tree structured schur complement decomposition
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2893184/
https://www.ncbi.nlm.nih.gov/pubmed/20482886
http://dx.doi.org/10.1186/1475-925X-9-20
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