Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms

被引：0
|
作者：
M. Faisal Beg
Michael I. Miller
Alain Trouvé
Laurent Younes
机构：
[1] The Johns Hopkins University,Center for Imaging Science & Department of Biomedical Engineering
[2] The Johns Hopkins University,Center for Imaging Science, department of Biomedical Engineering, Department of Electrical and Computer Engineering and The Department of Computer Science, Whiting School of Engineering
[3] Université Paris,LAGA
[4] Ecole Normale Supérieure de Cachan,CMLA
来源：
International Journal of Computer Vision | 2005年 / 61卷
关键词：
Computational Anatomy; Euler-Lagrange Equation; Variational Optimization; Deformable Template; Metrics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper examine the Euler-Lagrange equations for the solution of the large deformation diffeomorphic metric mapping problem studied in Dupuis et al. (1998) and Trouvé (1995) in which two images I0, I1 are given and connected via the diffeomorphic change of coordinates I0○ϕ−1=I1 where ϕ=Φ1 is the end point at t= 1 of curve Φt, t∈[0, 1] satisfying .Φt=vt (Φt), t∈ [0,1] with Φ0=id. The variational problem takes the form
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页码：139 / 157
页数：18
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