• Chinese Optics Letters
  • Vol. 18, Issue 1, 011701 (2020)
Jiaju Cheng and Jianwen Luo*
Author Affiliations
  • Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL202018.011701 Cite this Article Set citation alerts
    Jiaju Cheng, Jianwen Luo. Tikhonov-regularization-based projecting sparsity pursuit method for fluorescence molecular tomography reconstruction[J]. Chinese Optics Letters, 2020, 18(1): 011701 Copy Citation Text show less

    Abstract

    For fluorescence molecular tomography (FMT), image quality could be improved by incorporating a sparsity constraint. The L1 norm regularization method has been proven better than the L2 norm, like Tikhonov regularization. However, the Tikhonov method was found capable of achieving a similar quality at a high iteration cost by adopting a zeroing strategy. By studying the reason, a Tikhonov-regularization-based projecting sparsity pursuit method was proposed that reduces the iterations significantly and achieves good image quality. It was proved in phantom experiments through time-domain FMT that the method could obtain higher accuracy and less oversparsity and is more applicable for heterogeneous-target reconstruction, compared with several regularization methods implemented in this Letter.
    ASX=YS,(1)

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    Ax=T,(2)

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    Wx=Φ(3)

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    mint,s.t.(x2k+tΔx)>=0,xsparse=x2k+tΔx,iftexists,(4)

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    Jiaju Cheng, Jianwen Luo. Tikhonov-regularization-based projecting sparsity pursuit method for fluorescence molecular tomography reconstruction[J]. Chinese Optics Letters, 2020, 18(1): 011701
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