A VARIATIONAL MODEL WITH FRACTIONAL-ORDER REGULARIZATION TERM ARISING IN REGISTRATION OF DIFFUSION TENSOR IMAGE

被引：14
|
作者：
Han, Huan [1 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430076, Hubei, Peoples R China
来源：
INVERSE PROBLEMS AND IMAGING | 2018年 / 12卷 / 06期
关键词：
Variation; DTI registration; fractional-order derivatives; DIFFEOMORPHISMS; EQUATION; FLOWS;
D O I：
10.3934/ipi.2018053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1263 / 1291
页数：29
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