Fast and Robust Reconstruction for Fluorescence Molecular Tomography via L1-2 Regularization
Joint Authors
Zhang, Haibo
Wang, Xiaodong
Qu, Xuan
Hou, Yuqing
Geng, Guohua
He, Xiaowei
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Sparse reconstruction inspired by compressed sensing has attracted considerable attention in fluorescence molecular tomography (FMT).
However, the columns of system matrix used for FMT reconstruction tend to be highly coherent, which means L1 minimization may not produce the sparsest solution.
In this paper, we propose a novel reconstruction method by minimization of the difference of L1 and L2 norms.
To solve the nonconvex L1-2 minimization problem, an iterative method based on the difference of convex algorithm (DCA) is presented.
In each DCA iteration, the update of solution involves an L1 minimization subproblem, which is solved by the alternating direction method of multipliers with an adaptive penalty.
We investigated the performance of the proposed method with both simulated data and in vivo experimental data.
The results demonstrate that the DCA for L1-2 minimization outperforms the representative algorithms for L1, L2, L1/2, and L0 when the system matrix is highly coherent.
American Psychological Association (APA)
Zhang, Haibo& Geng, Guohua& Wang, Xiaodong& Qu, Xuan& Hou, Yuqing& He, Xiaowei. 2016. Fast and Robust Reconstruction for Fluorescence Molecular Tomography via L1-2 Regularization. BioMed Research International،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1097992
Modern Language Association (MLA)
Zhang, Haibo…[et al.]. Fast and Robust Reconstruction for Fluorescence Molecular Tomography via L1-2 Regularization. BioMed Research International No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1097992
American Medical Association (AMA)
Zhang, Haibo& Geng, Guohua& Wang, Xiaodong& Qu, Xuan& Hou, Yuqing& He, Xiaowei. Fast and Robust Reconstruction for Fluorescence Molecular Tomography via L1-2 Regularization. BioMed Research International. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1097992
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1097992