• Opto-Electronic Engineering
  • Vol. 48, Issue 9, 210211 (2021)
Lian Xiangyuan1、2, Kong Huihua1、2, Pan Jinxiao1、2、*, Gao Wenbo1、2, and Wang Pan3
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • 3[in Chinese]
  • show less
    DOI: 10.12086/oee.2021.210211 Cite this Article
    Lian Xiangyuan, Kong Huihua, Pan Jinxiao, Gao Wenbo, Wang Pan. Joint multi-channel total generalized variational algorithm for spectral CT reconstruction[J]. Opto-Electronic Engineering, 2021, 48(9): 210211 Copy Citation Text show less
    References

    [1] Niu S Z, Bian Z Y, Zeng D, et al. Total image constrained diffusion tensor for spectral computed tomography reconstruction[J]. Appl Math Model, 2019, 68: 487–508.

    [2] Taguchi K, Iwanczyk J S. Vision 20/20: Single photon counting X-ray detectors in medical imaging[J]. Med Phys, 2013, 40(10): 100901.

    [3] Dong X, Niu T Y, Zhu L. Combined iterative reconstruction and image-domain decomposition for dual energy CT using total-variation regularization[J]. Med Phys, 2014, 41(5): 051909.

    [4] Yu Z C, Leng S, Li Z B, et al. Spectral prior image constrained compressed sensing (spectral PICCS) for photon-counting computed tomography[J]. Phys Med Biol, 2016, 61(18): 6707–6732.

    [5] Zhang W K, Zhang H M, Wang L Y, et al. Limited angle CT reconstruction by simultaneous spatial and Radon domain regularization based on TV and data-driven tight frame[J]. Nucl Instr Meth Phys Res A, 2018, 880: 107–117.

    [6] Luo X Q, Yu W, Wang C X. An image reconstruction method based on total variation and wavelet tight frame for limited-angle CT[J]. IEEE Access, 2018, 6: 1461–1470.

    [7] Us D, Ruotsalainen U, Pursiainen S. Combining dual-tree complex wavelets and multiresolution in iterative CT reconstruction with application to metal artifact reduction[J]. BioMed Eng OnLine, 2019, 18: 116.

    [8] Miao J Y, Cao H L, Jin X B, et al. Joint sparse regularization for dictionary learning[J]. Cogn Comput, 2019, 11(5): 697–710.

    [9] Zhang Y, Xi Y, Yang Q S, et al. Spectral CT reconstruction with image sparsity and spectral mean[J]. IEEE Trans Comput Imaging, 2016, 2(4): 510–523.

    [10] Li B, Shen C Y, Chi Y J, et al. Multienergy cone-beam computed tomography reconstruction with a spatial spectral nonlocal means algorithm[J]. SIAM J Imaging Sci, 2018, 11(2): 1205–1229.

    [11] Hu D L, Wu W W, Xu M R, et al. SISTER: spectral-image similarity-based tensor with enhanced-sparsity reconstruction for sparse-view multi-energy CT[J]. IEEE Trans Comput Imaging, 2020, 6: 477–490.

    [13] Rigie D S, Patrick J L R. Joint reconstruction of multi-channel, spectral CT data via constrained total nuclear variation minimization[J]. Phys Med Biol, 2015, 60(5): 1741–1762.

    [14] Niu S Z, Huang J, Bian Z Y, et al. Iterative reconstruction for sparse-view X-ray CT using alpha-divergence constrained total generalized variation minimization[J]. J X-Ray Sci Technol, 2017, 25(4): 673–688.

    [15] Kristian B, Karl K, Thomas P. Total Generalized Variation[J]. SIAM Journal on Imaging Sciences, 2010, 3(3): 492–526.

    [16] Ehrhardt M J, Arridge S R. Vector-valued image processing by parallel level sets[J]. IEEE Trans Image Process, 2014, 23(1): 9–18.

    [17] Sidky E Y, J?rgensen J H, Pan X C. Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm[J]. Phys Med Biol, 2012, 57(10): 3065–3091.

    Lian Xiangyuan, Kong Huihua, Pan Jinxiao, Gao Wenbo, Wang Pan. Joint multi-channel total generalized variational algorithm for spectral CT reconstruction[J]. Opto-Electronic Engineering, 2021, 48(9): 210211
    Download Citation