# American Institute of Mathematical Sciences

December  2018, 12(6): 1263-1291. doi: 10.3934/ipi.2018053

## A variational model with fractional-order regularization term arising in registration of diffusion tensor image

 School of Mathematics and Physics, China University of Geosciences, Wuhan 430076, China

* Corresponding author: Huan Han

Received  December 2016 Revised  August 2018 Published  October 2018

Fund Project: The first author is supported by NSFC under grant No.11471331 and partially supported by National Center for Mathematics and Interdisciplinary Sciences.

In this paper, a new variational model with fractional-order regularization term arising in registration of diffusion tensor image(DTI) is presented. Moreover, the existence of its solution is proved to ensure that there is a regular solution for this model. Furthermore, three numerical tests are also performed to show the effectiveness of this model.

Citation: Huan Han. A variational model with fractional-order regularization term arising in registration of diffusion tensor image. Inverse Problems & Imaging, 2018, 12 (6) : 1263-1291. doi: 10.3934/ipi.2018053
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##### References:
One slice of $T(\cdot)$ and $D(\cdot)$
$a$ and ${\rm Re-SSD}$ change with differential order $\alpha$
$a$ and ${\rm Re-SSD}$ change with time $s$ in iteration process
The 22th slice of $T\diamond h(\cdot)$
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