• Laser & Optoelectronics Progress
  • Vol. 60, Issue 6, 0610010 (2023)
Shuang Yang1, Shanghai Jiang1,*, Xinyu Hu1,**, Binbin Luo1..., Mingfu Zhao1, Bin Tang1, Zourong Long1, Shenghui Shi1, Xue Zou1 and Mi Zhou2|Show fewer author(s)
Author Affiliations
  • 1Chongqing Key Laboratory of Optical Fiber Sensor and Photoelectric Detection, Chongqing University of Technology, Chongqing 400054, China
  • 2College of Science, Chongqing University of Technology, Chongqing 400054, China
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    DOI: 10.3788/LOP213317 Cite this Article Set citation alerts
    Shuang Yang, Shanghai Jiang, Xinyu Hu, Binbin Luo, Mingfu Zhao, Bin Tang, Zourong Long, Shenghui Shi, Xue Zou, Mi Zhou. Reconstruction of Fan Beam X-Ray Fluorescence Computed Tomography Based on L1/2-Norm[J]. Laser & Optoelectronics Progress, 2023, 60(6): 0610010 Copy Citation Text show less
    References

    [1] Ahmad M, Pratx G, Bazalova M et al. X-ray luminescence and X-ray fluorescence computed tomography: new molecular imaging modalities[J]. IEEE Access, 2, 1051-1061(2014).

    [2] Pace N, Ricci L, Negrini S. A comparison approach to explain risks related to X-ray imaging for scoliosis, 2012 SOSORT award winner[J]. Scoliosis, 8, 11(2013).

    [3] Jiang J. Countermeasures against X-ray radiation in the application of medical imaging[J]. Practical Journal of Clinical Medicine, 8, 134-136(2011).

    [4] Sidky E Y, Kao C M, Pan X C. Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT[J]. Journal of X-ray Science and Technology, 14, 119-139(2006).

    [5] Xu Q, Yu H Y, Mou X Q et al. Low-dose X-ray CT reconstruction via dictionary learning[J]. IEEE Transactions on Medical Imaging, 31, 1682-1697(2012).

    [6] Niu S Z, Gao Y, Bian Z Y et al. Sparse-view X-ray CT reconstruction via total generalized variation regularization[J]. Physics in Medicine and Biology, 59, 2997-3017(2014).

    [7] Li Y S, Chen Y, Hu Y N et al. Strategy of computed tomography sinogram inpainting based on sinusoid-like curve decomposition and eigenvector-guided interpolation[J]. Journal of the Optical Society of America A, 29, 153-163(2012).

    [8] Lee M, Kim H, Kim H J. Sparse-view CT reconstruction based on multi-level wavelet convolution neural network[J]. Physica Medica, 80, 352-362(2020).

    [9] Kang Y Q, Liu J, Wang Y et al. Low-dose CT 3D reconstruction using convolutional sparse coding and gradient L0-norm[J]. Acta Optica Sinica, 41, 0911005(2021).

    [10] Yu H S, Zou Y N, Zhang Z B et al. Image reconstruction of incomplete CT scanning using a CAD model[J]. Acta Optica Sinica, 41, 0611002(2021).

    [11] Li Y, Shi N, Kong H H et al. Sparse angle CT reconstruction algorithm based on total variation and convolutional sparse coding in gradient domain[J]. Laser & Optoelectronics Progress, 58, 1210031(2021).

    [12] Shi J W, Hara D, Tao W S et al. Reconstruction of X-ray fluorescence computed tomography from sparse-view projections via L1-norm regularized EM algorithm[J]. IEEE Access, 8, 211576-211584(2020).

    [13] Yuasa T, Akiba M, Takeda T et al. Reconstruction method for fluorescent X-ray computed tomography by least-squares method using singular value decomposition[J]. IEEE Transactions on Nuclear Science, 44, 54-62(1997).

    [14] Goldstein T, Osher S. The split bregman method for L1-regularized problems[J]. SIAM Journal on Imaging Sciences, 2, 323-343(2009).

    [15] Duan J Z, Liu Y, Zhang L Y. Bregman iteration based efficient algorithm for MR image reconstruction from undersampled K-space data[J]. IEEE Signal Processing Letters, 20, 831-834(2013).

    [16] Xu Z B, Chang X Y, Xu F M et al. L1/2 regularization: a thresholding representation theory and a fast solver[J]. IEEE Transactions on Neural Networks and Learning Systems, 23, 1013-1027(2012).

    [17] Pronyaev V G. XMuDat: photon attenuation data on PC. Version 1.0. 1 of August 1998. summary documentation[R](1998).

    [18] Wang Z, Bovik A C. A universal image quality index[J]. IEEE Signal Processing Letters, 9, 81-84(2002).

    [19] Willmott C J, Matsuura K. Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance[J]. Climate Research, 30, 79-82(2005).

    Shuang Yang, Shanghai Jiang, Xinyu Hu, Binbin Luo, Mingfu Zhao, Bin Tang, Zourong Long, Shenghui Shi, Xue Zou, Mi Zhou. Reconstruction of Fan Beam X-Ray Fluorescence Computed Tomography Based on L1/2-Norm[J]. Laser & Optoelectronics Progress, 2023, 60(6): 0610010
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