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

^*Corresponding author for this work

Institute of Mathematics and Image Computing

11 Citations (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.

Original language	English
Journal	Inverse Problems and Imaging
Volume	4
Issue number	3
Pages (from-to)	505-522
Number of pages	18
ISSN	1930-8337
DOIs	https://doi.org/10.3934/ipi.2010.4.505
Publication status	Published - 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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AU - Scherzer, Otmar

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N2 - 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.

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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DO - 10.3934/ipi.2010.4.505

M3 - Journal articles

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VL - 4

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EP - 522

JO - Inverse Problems and Imaging

JF - Inverse Problems and Imaging

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A variational setting for volume constrained image registration

Abstract

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