A variational setting for volume constrained image registration
Christiane Pöschl Jan Modersitzki Otmar Scherzer
Inverse Problems & Imaging 2010, 4(3): 505-522 doi: 10.3934/ipi.2010.4.505
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 area and volume preserving registration. constrained regularization

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