A variational setting for volume constrained image registration

Christiane Pöschl; Jan Modersitzki; Otmar Scherzer

doi:10.3934/ipi.2010.4.505

A variational setting for volume constrained image registration

Christiane Pöschl^*, Jan Modersitzki, Otmar Scherzer

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematische Methoden der Bildverarbeitung

6 Zitate (Scopus)

Abstract

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.

Originalsprache	Englisch
Zeitschrift	Inverse Problems and Imaging
Jahrgang	4
Ausgabenummer	3
Seiten (von - bis)	505-522
Seitenumfang	18
ISSN	1930-8337
DOIs	https://doi.org/10.3934/ipi.2010.4.505
Publikationsstatus	Veröffentlicht - 01.08.2010

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abstract = "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.",

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AB - 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.

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A variational setting for volume constrained image registration

Abstract

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