A variational setting for volume constrained image registration | Zendy

Christiane Pöschl | Zendy; Jan Modersitzki | Zendy; Otmar Scherzer | Zendy

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A variational setting for volume constrained image registration

Author(s) -

Christiane Pöschl,

Jan Modersitzki,

Otmar Scherzer

Publication year - 2010

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2010.4.505

Subject(s) - image registration , computer science , volume (thermodynamics) , image (mathematics) , computer vision , artificial intelligence , mathematical optimization , mathematics , physics , quantum mechanics

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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