• Chinese Optics Letters
  • Vol. 13, Issue 7, 071002 (2015)
Jiulou Zhang1, Junwei Shi1, Simin Zuo1, Fei Liu1、2, Jing Bai1, and Jianwen Luo1、3、*
Author Affiliations
  • 1Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China
  • 2Tsinghua-Peking Center for Life Sciences, Beijing 100084, China
  • 3Center for Biomedical Imaging Research, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL201513.071002 Cite this Article Set citation alerts
    Jiulou Zhang, Junwei Shi, Simin Zuo, Fei Liu, Jing Bai, Jianwen Luo. Fast reconstruction in fluorescence molecular tomography using data compression of intra- and inter-projections[J]. Chinese Optics Letters, 2015, 13(7): 071002 Copy Citation Text show less

    Abstract

    In order to improve the reconstruction accuracy in fluorescence molecular tomography (FMT), a common approach is to increase the number of fluorescence data or projections. However, this approach consumes too much memory space and computational time. In this Letter, a data compression strategy that involves the removal of the redundant information from both intra- and inter-projections is proposed to reduce the dimension of the FMT inverse problem. The performance of this strategy is tested with phantom and in vivo mouse experiments. The results demonstrate that the proposed data compression strategy can accelerate the FMT reconstruction nearly tenfold and almost without any quality degradation.
    [D+μa]G(r,rs)=δ(rrs),(1)

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    2ρDG(r,rs)n+G(r,rs)=0,(2)

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    WsX=bs,(3)

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    WoX=bo.(4)

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    bg{i}={bs(N*iN+1),bs(N*iN+2),,bs(N*i)},(5)

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    Wg{i}={Ws(N*iN+1),Ws(N*iN+2),,Ws(N*i)}.(6)

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    Wg{i}X=bg{i}.(7)

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    bf{i}=[bg{i}(1)bg{i}(2)bg{i}(k)bg{i}(k+1)bg{i}(k+2)bg{i}(k+k)bg{i}((j1)×k+1)bg{i}((j1)×k+2)bg{i}((j1)×k+k)].(8)

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    Pbf{i}=bft{i}.(9)

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    Tbg{i}=bgt{i},(10)

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    Wgt{i}X=bgt{i},(11)

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    CPVt=i=1tλiλi,(12)

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    WcX=bc,(13)

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    Xn=Xn1W[(WW+τ×tr(WW)I)1(WXn1b)].(14)

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    Xn=Xn1(WW+τ×tr(WW)I)1[W(WXn1b)].(15)

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    Jiulou Zhang, Junwei Shi, Simin Zuo, Fei Liu, Jing Bai, Jianwen Luo. Fast reconstruction in fluorescence molecular tomography using data compression of intra- and inter-projections[J]. Chinese Optics Letters, 2015, 13(7): 071002
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