A variational setting for volume constrained image registration

Christiane Pöschl; Jan Modersitzki; Otmar Scherzer

doi:10.3934/ipi.2010.4.505

Article Contents

2010, Volume 4, Issue 3: 505-522. Doi: 10.3934/ipi.2010.4.505

This issue Previous Article Fortran linear inverse problem solver Next Article A two-level domain decomposition method for image restoration

A variational setting for volume constrained image registration

1.
Departament de Tecnologia, Universitat Pompeu Fabra, Edificio Tánger, Tánger 122-140, 08018 Barcelona
2.
Institute of Mathematics and Image Computing, Universität Lübeck, Wallstr. 40, 23560 Lübeck
3.
Computational Science Center, University of Vienna, Nordbergstrasse 15, 1090 Wien

Received: January 31, 2009

Revised: February 28, 2010

Published: July 2010

Abstract Related Papers Cited by

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.

Keywords:

image registration,
constrained regularization,
area and volume preserving registration.

Mathematics Subject Classification: Primary: 68U10; Secondary: 65N21.

Citation:

Article Metrics

HTML views() PDF downloads(68) Cited by(0)

A variational setting for volume constrained image registration

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A variational setting for volume constrained image registration

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content