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An alternating direction implicit scheme of a fractional-order diffusion tensor image registration model

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  • Han, Huan
  • Wang, Zhanqing

Abstract

In this paper, we propose an alternating direction implicit (ADI) scheme of a fractional-order diffusion tensor image (DTI) registration model. Furthermore, compatibility, stability and convergence of ADI scheme are proved. Moreover, five numerical tests are also performed to show the efficiency of this scheme.

Suggested Citation

  • Han, Huan & Wang, Zhanqing, 2019. "An alternating direction implicit scheme of a fractional-order diffusion tensor image registration model," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 105-118.
    • Handle: RePEc:eee:apmaco:v:356:y:2019:i:c:p:105-118
    DOI: 10.1016/j.amc.2019.03.024
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    References listed on IDEAS

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    1. Abdon Atangana & Aydin Secer, 2013. "A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
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