Acta Optica Sinica, Volume. 41, Issue 23, 2310001(2021)

Blind Separation Algorithm of X-Ray Polychromatic Projections Based on Material Composition Prior

Yihong Li1, Zhaoyan Qu2, Xiaojie Zhao1, Jiaotong Wei1, and Ping Chen1、*
Author Affiliations
  • 1Shanxi Key Laboratory of Signal Capturing & Processing, North University of China, Taiyuan, Shanxi 0 30051, China;
  • 2Department of Physics and Electronic Engineering, Yuncheng University, Yuncheng, Shanxi 0 44000, China
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    References(27)

    [1] Luo T, Zhao Y S. An accelerated convergence algorithm for iterative reconstruction of dual energy spectrum CT[J]. Acta Optica Sinica, 40, 1411001(2020).

    [2] Li Z P, Ravishankar S, Long Y et al. DECT-MULTRA: dual-energy CT image decomposition with learned mixed material models and efficient clustering[J]. IEEE Transactions on Medical Imaging, 39, 1223-1234(2020).

    [3] Bal G, Terzioglu F. Uniqueness criteria in multi-energy CT[J]. Inverse Problems, 36, 065006(2020).

    [4] Garnett R. A comprehensive review of dual-energy and multi-spectral computed tomography[J]. Clinical Imaging, 67, 160-169(2020).

    [6] Barber F R, Sidky E Y, Gilat Schmidt T et al. An algorithm for constrained one-step inversion of spectral CT data[J]. Physics in Medicine and Biology, 61, 3784-3818(2016).

    [7] Chen P J, Feng P, Wei W W et al. Multi-energy spectrum CT material recognition based on image total variation and tensor dictionary[J]. Acta Optica Sinica, 38, 1111002(2018).

    [8] Zhang H J, Kong H H, Sun Y G. Weighted NLTV reconstruction algorithm based on structural prior information for spectral CT[J]. Acta Optica Sinica, 38, 0811003(2018).

    [9] Zhou Z D, Zhang X L, Xin R C et al. Direct iterative basis image reconstruction based on MAP-EM algorithm for spectral CT[J]. Journal of Nondestructive Evaluation, 40, 5(2021).

    [10] Schlomka J P, Roessl E, Dorscheid R et al. Experimental feasibility of multi-energy photon-counting K-edge imaging in pre-clinical computed tomography[J]. Physics in Medicine and Biology, 53, 4031-4047(2008).

    [12] Ducros N, Peyrin F. Nonlinear material decomposition using a regularized iterative scheme based on the Bregman distance[J]. Inverse Problems, 34, 124003(2018).

    [13] Chang S J, Li M F, Yu H Y et al. Spectrum estimation-guided iterative reconstruction algorithm for dual energy CT[J]. IEEE Transactions on Medical Imaging, 39, 246-258(2020).

    [14] Xiao Y M, Lu W Z, Yan Q et al. Blind separation of coherent multipath signals with impulsive interference and Gaussian noise in time-frequency domain[J]. Signal Processing, 178, 107750(2021).

    [15] Wei J T, Han Y, Chen P. Improved contrast of materials based on multi-voltage images decomposition in X-ray CT[J]. Measurement Science and Technology, 27, 025402(2016).

    [16] Wei J T, Han Y, Chen P. Narrow-energy-width CT based on multivoltage X-ray image decomposition[J]. International Journal of Biomedical Imaging, 2017, 2948493(2017).

    [17] Zhao Y X, Han Y, Chen P. Blind separation of multi-voltage projection sequence based on fundamental effect decomposition[J]. Spectroscopy and Spectral Analysis, 39, 2763-2768(2019).

    [18] Alvarez R E, Macovski A. Energy-selective reconstructions in X-ray computerised tomography[J]. Physics in Medicine and Biology, 21, 733-744(1976).

    [19] Zhao W, Niu K, Schafer S et al. An indirect transmission measurement-based spectrum estimation method for computed tomography[J]. Physics in Medicine and Biology, 60, 339-357(2015).

    [20] Xu Y Y, Yin W T. A block coordinate descent method for regularized multiconvex optimization with applications to nonnegative tensor factorization and completion[J]. SIAM Journal on Imaging Sciences, 6, 1758-1789(2013).

    [21] Lee D D, Seung H S. Algorithms for non-negative matrix factorization. [C]//Proceedings of the 13th International Conference on Neural Information Processing Systems, November 28-30, 2000, Denver, USA. Cambridge: NIPS, 535-541(2000).

    [22] Schweiger M, Arridge S R, Nissilä I. Gauss-Newton method for image reconstruction in diffuse optical tomography[J]. Physics in Medicine and Biology, 50, 2365-2386(2005).

    [23] Heinz D C, Chang C I. Fully constrained least squares linear spectral mixture analysis method for material quantification in hyperspectral imagery[J]. IEEE Transactions on Geoscience and Remote Sensing, 39, 529-545(2001).

    [24] Forsgren A, Gill P E, Wright M H. Interior methods for nonlinear optimization[J]. SIAM Review, 44, 525-597(2002).

    [26] Hansen P C. Analysis of discrete ill-posed problems by means of the L-curve[J]. SIAM Review, 34, 561-580(1992).

    [27] Poludniowski G, Omar A, Bujila R et al. Technical Note: SpekPy v2.0: a software toolkit for modeling X-ray tube spectra[J]. Medical Physics, 48, 3630-3637(2021).

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    Yihong Li, Zhaoyan Qu, Xiaojie Zhao, Jiaotong Wei, Ping Chen. Blind Separation Algorithm of X-Ray Polychromatic Projections Based on Material Composition Prior[J]. Acta Optica Sinica, 2021, 41(23): 2310001

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    Paper Information

    Category: Image Processing

    Received: Jun. 21, 2021

    Accepted: Aug. 20, 2021

    Published Online: Nov. 29, 2021

    The Author Email: Chen Ping (pc0912@163.com)

    DOI:10.3788/AOS202141.2310001

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