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Diffeomorphic density registration

Martin Bauera; Sarang Joshib; Klas Modinc    aFlorida State University, Department of Mathematics, Tallahassee, FL, United StatesbUniversity of Utah, Department of Bioengineering, Scientific Computing and Imaging Institute, Salt Lake City, UT, United StatescChalmers University of Technology and the University of Gothenburg, Department of Mathematical Sciences, Göteborg, Sweden

Abstract

In this book chapter we study the Riemannian geometry of the density registration problem: Given two densities (not necessarily probability densities) defined on a smooth finite-dimensional manifold find a diffeomorphism which transforms one to the other. This problem is motivated by the medical imaging application of tracking ...

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