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

  • * Corresponding author: Huan Han

    * Corresponding author: Huan Han
The first author is supported by NSFC under grant No.11471331 and partially supported by National Center for Mathematics and Interdisciplinary Sciences.
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  • 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.

    Mathematics Subject Classification: Primary: 68U10, 62H35, 74G65, 94A08, 97M10, 58E05; Secondary: 49J45, 49J35.


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  • Figure 1.  One slice of $T(\cdot)$ and $D(\cdot)$

    Figure 2.  $a$ and ${\rm Re-SSD}$ change with differential order $\alpha$

    Figure 3.  $a$ and ${\rm Re-SSD}$ change with time $s$ in iteration process

    Figure 4.  The 22th slice of $T\diamond h(\cdot)$

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