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    Journals >Chinese Journal of Lasers >Volume 47 >Issue 2 >Page 207027 > Article
    • Chinese Journal of Lasers
    • Vol. 47, Issue 2, 207027 (2020)
    Cherenkov-Excited Luminescence Scanned Tomography Reconstruction Based on Approximate Message Passing
    Feng Jinchao1、2, Chang Di1、2, Li Zhe1、2, Sun Zhonghua1、2, and Jia Kebin1、2、*
    Author Affiliations
  • 1Beijing Key Laboratory of Computational Intelligence and Intelligent System, Faculty of Information Technology, Beijing University of Technology, Beijing 100124, China
  • 2Beijing Laboratory of Advanced Information Networks, Beijing 100124, China
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    DOI: 10.3788/CJL202047.0207027 Cite this Article Set citation alerts
    Feng Jinchao, Chang Di, Li Zhe, Sun Zhonghua, Jia Kebin. Cherenkov-Excited Luminescence Scanned Tomography Reconstruction Based on Approximate Message Passing[J]. Chinese Journal of Lasers, 2020, 47(2): 207027 Copy Citation Text show less
    Diagram of CELSI[3]. (a) CELSI imaging instrument; (b) process of photon excitation
    Fig. 1. Diagram of CELSI[3]. (a) CELSI imaging instrument; (b) process of photon excitation
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    Structure of completely bipartite factor graph
    Fig. 2. Structure of completely bipartite factor graph
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    Flow chart of AMP algorithm
    Fig. 3. Flow chart of AMP algorithm
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    Phantom used in experiments
    Fig. 4. Phantom used in experiments
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    Reconstructed images obtained by different algorithms with varied contrasts. Contrast of Figs. 5(a)--(f) is reduced from 4 to 1.5 by step of 0.5
    Fig. 5. Reconstructed images obtained by different algorithms with varied contrasts. Contrast of Figs. 5(a)--(f) is reduced from 4 to 1.5 by step of 0.5
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    Profiles along horizontal line of reconstructed images of single target. (a) Contrast is 4; (b) contrast is 3; (c) contrast is 2
    Fig. 6. Profiles along horizontal line of reconstructed images of single target. (a) Contrast is 4; (b) contrast is 3; (c) contrast is 2
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    Distributions of true single targets with different radii and reconstruction results obtained by different algorithms. (a)--(e) Radius of fluorescent target decreases from 7 mm to 3 mm with a step of 1 mm
    Fig. 7. Distributions of true single targets with different radii and reconstruction results obtained by different algorithms. (a)--(e) Radius of fluorescent target decreases from 7 mm to 3 mm with a step of 1 mm
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    Comparison of results obtained by different reconstruction methods for single targets with varied radius. (a) CNR; (b) MSE
    Fig. 8. Comparison of results obtained by different reconstruction methods for single targets with varied radius. (a) CNR; (b) MSE
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    Reconstruction results of different algorithms for multiple fluorescent targets
    Fig. 9. Reconstruction results of different algorithms for multiple fluorescent targets
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    Opticalparameterμaxμamμ'sxμ'smημaf
    Value0.0090.0061.311.272.0×10-4
    Table 1. Background optical parameters of phantommm-1
    ContrastCNRMSEPSNRFWHM
    TikhonovISTAAMPTikhonovISTAAMPTikhonovISTAAMPTikhonovISTAAMP
    49.5712.3013.894.68×10-44.06×10-43.71×10-421.8624.2425.6116.1616.1614.14
    3.59.0911.9113.533.99×10-43.45×10-43.15×10-422.4924.4125.8220.2016.1614.14
    38.5811.5113.133.28×10-42.82×10-42.57×10-423.3924.8026.2120.2018.1816.16
    2.58.1211.0612.652.52×10-42.16×10-41.97×10-423.6425.5426.9123.2320.2017.17
    26.7110.5512.111.83×10-41.48×10-41.35×10-424.6327.0528.3331.3124.2420.20
    1.55.219.9611.381.08×10-40.76×10-40.70×10-427.7730.7931.7967.6848.4840.40
    Table 2. Quantitative comparison of reconstruction results obtained by three different methods (Tikhonov, ISTA, and AMP) with varied contrast
    MethodReconstruction time
    Contrast is 4Contrast is 3.5Contrast is 3Contrast is 2.5Contrast is 2Contrast is 1.5
    Tikhonov484948484039
    ISTA110110110112114109
    AMP101102103102100104
    Table 3. Reconstruction time for different algorithms with varied contrasts
    MethodTwo targetsThree targets
    CNRMSECNRMSE
    T1T2T1T2T1T2T3T1T2T3
    Tikhonov7.237.232.85×10-42.84×10-49.467.405.401.44×10-42.69×10-43.21×10-4
    GPSR4.304.524.58×10-44.51×10-49.473.372.372.08×10-44.55×10-44.40×10-4
    TwIST1.714.064.71×10-44.70×10-45.531.340.654.56×10-45.52×10-45.06×10-4
    ISTA8.708.572.57×10-42.61×10-49.846.884.981.48×10-43.03×10-43.43×10-4
    AMP10.1410.092.19×10-42.18×10-49.868.106.201.34×10-42.43×10-42.74×10-4
    Table 4. Quantitative reconstruction results obtained by different algorithms for multiple fluorescent targets
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    Feng Jinchao, Chang Di, Li Zhe, Sun Zhonghua, Jia Kebin. Cherenkov-Excited Luminescence Scanned Tomography Reconstruction Based on Approximate Message Passing[J]. Chinese Journal of Lasers, 2020, 47(2): 207027
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