Material Decomposition in X-ray Spectral CT Using Multiple Constraints in Image Domain

  • Bingqing Xie
  • Ting Su
  • Valérie Kaftandjian
  • Pei Niu
  • Feng Yang
  • Marc Robini
  • Yuemin Zhu
  • Philippe Duvauchelle


X-ray spectral CT appears as a new promising imaging modality for the quantitative measurement of materials in an object, compared to conventional energy-integrating CT or dual energy CT. We consider material decomposition in spectral CT as an overcomplete ill-conditioned inverse problem. To solve the problem, we make full use of multi-dimensional nature and high correlation of multi-energy data and spatially neighboring pixels in spectral CT. Meanwhile, we also exploit the fact that material mass density has limited value. The material decomposition is then achieved by using bounded mass density, local joint sparsity and structural low-rank (DSR) in image domain. The results on numerical phantom demonstrate that the proposed DSR method leads to more accurate decomposition than usual pseudo-inverse method with singular value decomposition (SVD) and current popular sparse regularization method with ℓ1-norm constraint.


X-ray spectral CT Material decomposition Sparse representation Low-rank representation 



This research is partly supported by the National Key R&D Plan of China under Grant No. 2017YFB1400100, the National Basic Research Program of China under Grant No. 61671049 and the Program PHC-Cai Yuanpei 2016 No. 36702XD.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Bingqing Xie
    • 1
  • Ting Su
    • 2
  • Valérie Kaftandjian
    • 2
  • Pei Niu
    • 1
  • Feng Yang
    • 3
  • Marc Robini
    • 1
  • Yuemin Zhu
    • 1
  • Philippe Duvauchelle
    • 2
  1. 1.Univ Lyon, INSA Lyon, CNRS, Inserm, CREATIS UMR 5220, U1206LyonFrance
  2. 2.Univ Lyon, INSA Lyon, Laboratoire Vibrations AcoustiqueVilleurbanneFrance
  3. 3.School of Computer and Information TechnologyBeijing Jiaotong UniversityBeijingChina

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