Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element Method

Bioluminescence tomography (BLT) is a promising tool for studying physiological and pathological processes at cellular and molecular levels. In most clinical or preclinical practices, fine discretization is needed for recovering sources with acceptable resolution when solving BLT with finite element...

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Main Authors: Xiaowei He, Yanbin Hou, Duofang Chen, Yuchuan Jiang, Man Shen, Junting Liu, Qitan Zhang, Jie Tian
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Biomedical Imaging
Online Access:http://dx.doi.org/10.1155/2011/203537
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author Xiaowei He
Yanbin Hou
Duofang Chen
Yuchuan Jiang
Man Shen
Junting Liu
Qitan Zhang
Jie Tian
author_facet Xiaowei He
Yanbin Hou
Duofang Chen
Yuchuan Jiang
Man Shen
Junting Liu
Qitan Zhang
Jie Tian
author_sort Xiaowei He
collection DOAJ
description Bioluminescence tomography (BLT) is a promising tool for studying physiological and pathological processes at cellular and molecular levels. In most clinical or preclinical practices, fine discretization is needed for recovering sources with acceptable resolution when solving BLT with finite element method (FEM). Nevertheless, uniformly fine meshes would cause large dataset and overfine meshes might aggravate the ill-posedness of BLT. Additionally, accurately quantitative information of density and power has not been simultaneously obtained so far. In this paper, we present a novel multilevel sparse reconstruction method based on adaptive FEM framework. In this method, permissible source region gradually reduces with adaptive local mesh refinement. By using sparse reconstruction with l1 regularization on multilevel adaptive meshes, simultaneous recovery of density and power as well as accurate source location can be achieved. Experimental results for heterogeneous phantom and mouse atlas model demonstrate its effectiveness and potentiality in the application of quantitative BLT.
format Article
id doaj-art-c242adfeeee84bb5ac2920476f97ca19
institution Kabale University
issn 1687-4188
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language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series International Journal of Biomedical Imaging
spelling doaj-art-c242adfeeee84bb5ac2920476f97ca192025-02-03T01:09:02ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962011-01-01201110.1155/2011/203537203537Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element MethodXiaowei He0Yanbin Hou1Duofang Chen2Yuchuan Jiang3Man Shen4Junting Liu5Qitan Zhang6Jie Tian7Life Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaLife Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaLife Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaLife Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaLife Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaLife Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaLife Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaLife Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi'an 710071, ChinaBioluminescence tomography (BLT) is a promising tool for studying physiological and pathological processes at cellular and molecular levels. In most clinical or preclinical practices, fine discretization is needed for recovering sources with acceptable resolution when solving BLT with finite element method (FEM). Nevertheless, uniformly fine meshes would cause large dataset and overfine meshes might aggravate the ill-posedness of BLT. Additionally, accurately quantitative information of density and power has not been simultaneously obtained so far. In this paper, we present a novel multilevel sparse reconstruction method based on adaptive FEM framework. In this method, permissible source region gradually reduces with adaptive local mesh refinement. By using sparse reconstruction with l1 regularization on multilevel adaptive meshes, simultaneous recovery of density and power as well as accurate source location can be achieved. Experimental results for heterogeneous phantom and mouse atlas model demonstrate its effectiveness and potentiality in the application of quantitative BLT.http://dx.doi.org/10.1155/2011/203537
spellingShingle Xiaowei He
Yanbin Hou
Duofang Chen
Yuchuan Jiang
Man Shen
Junting Liu
Qitan Zhang
Jie Tian
Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element Method
International Journal of Biomedical Imaging
title Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element Method
title_full Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element Method
title_fullStr Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element Method
title_full_unstemmed Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element Method
title_short Sparse Regularization-Based Reconstruction for Bioluminescence Tomography Using a Multilevel Adaptive Finite Element Method
title_sort sparse regularization based reconstruction for bioluminescence tomography using a multilevel adaptive finite element method
url http://dx.doi.org/10.1155/2011/203537
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AT duofangchen sparseregularizationbasedreconstructionforbioluminescencetomographyusingamultileveladaptivefiniteelementmethod
AT yuchuanjiang sparseregularizationbasedreconstructionforbioluminescencetomographyusingamultileveladaptivefiniteelementmethod
AT manshen sparseregularizationbasedreconstructionforbioluminescencetomographyusingamultileveladaptivefiniteelementmethod
AT juntingliu sparseregularizationbasedreconstructionforbioluminescencetomographyusingamultileveladaptivefiniteelementmethod
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