Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (2): 539-554.doi: 10.1016/S0252-9602(17)30020-6

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A VARIATIONAL PROBLEM ARISING IN REGISTRATION OF DIFFUSION TENSOR IMAGES

Huan HAN1, Huan-Song ZHOU2   

  1. 1. Wuhan Insitute of Physics and Mathematics, Chinese Academy of Sciences, P. O. Box 71010, Wuhan 430071, China;
    2. Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China
  • Received:2016-04-26 Revised:2016-07-11 Online:2017-04-25 Published:2017-04-25
  • Supported by:

    This work was supported by NSFC under grant No.11471331 and partially supported by National Center for Mathematics and Interdisciplinary Sciences.

Abstract:

The existence of a global minimizer for a variational problem arising in registration of diffusion tensor images is proved, which ensures that there is a regular spatial transformation for the registration of diffusion tensor images.

Key words: Variational problem, image matching, registration, diffusion tensor image

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