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A variational setting for volume constrained image registration

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

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