Fast and Robust Reconstruction for Fluorescence Molecular Tomography via L1-2 Regularization.

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 th...

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Publicado en:BioMed Research International Vol. 2016; pp. 1 - 10
Autores principales: Zhang, Haibo, Geng, Guohua, Wang, Xiaodong, Qu, Xuan, Hou, Yuqing, He, Xiaowei
Formato: equations & formulas pictorial research tables/charts Journal Article
Publicado: Wiley-Blackwell 12/6/2016
Acceso en línea:Ver este registro en EBSCOhost
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      dt: 12/6/2016
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      pub: Wiley-Blackwell
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        10.1155/2016/5065217
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        atl: Fast and Robust Reconstruction for Fluorescence Molecular Tomography via L1-2 Regularization.
      aug:
        au:
          Zhang, Haibo
          Geng, Guohua
          Wang, Xiaodong
          Qu, Xuan
          Hou, Yuqing
          He, Xiaowei
        affil: School of Information Sciences and Technology, Northwest University, Xi’an, Shaanxi 710027, China
      sug:
        subj:
          Tomography, Optical
          Fluorescence Polarization
          Anatomy
          Magnetic Resonance Imaging
          Imaging, Three-Dimensional
          Animal Studies
          Mice
          Funding Source
      ab: 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.
      pubtype: Academic Journal
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        equations & formulas
        pictorial
        research
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        Journal Article
      ougenre: Article
    language: English
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