A VARIATIONAL SETTING FOR VOLUME CONSTRAINED IMAGE REGISTRATION

被引：7

作者：

Poeschl, Christiane ^{[1
]}

Modersitzki, Jan ^{[2
]}

Scherzer, Otmar ^{[3
,4
]}

机构：

[1] Univ Pompeu Fabra, Dept Tecnol, Barcelona 08018, Spain

[2] Univ Lubeck, Inst Math & Image Comp, D-23560 Lubeck, Germany

[3] Univ Vienna, Computat Sci Ctr, A-1090 Vienna, Austria

[4] Austrian Acad Sci, RICAM, A-4040 Linz, Austria

来源：

INVERSE PROBLEMS AND IMAGING | 2010年 / 4卷 / 03期

基金：

奥地利科学基金会;

关键词：

image registration; constrained regularization; area and volume preserving registration; DIFFEOMORPHISMS; DEFORMATION;

D O I：

10.3934/ipi.2010.4.505

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider image registration, which is the determination of a geometrical transformation between two data sets. In this paper we propose constrained variational methods which aim for controlling the change of area or volume under registration transformation. We prove an existence result, convergence of a finite element method, and present a simple numerical example for volume-preserving registration.

引用

页码：505 / 522

页数：18

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