Geodesic Matching with Free Extremities

Authors:
Laurent Garcin;Laurent Younes
Affiliations:
Laboratoire MATIS, Institut Géographique National, Saint Mande Cedex;Center for Imaging Science, Department of Appplied Mathematics and Statistics, Johns Hopkins University, Baltimore
Venue:
Journal of Mathematical Imaging and Vision
Year:
2006

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Abstract

In this paper, we describe how to use geodesic energies defined on various sets of objects to solve several distance related problems. We first present the theory of metamorphoses and the geodesic distances it induces on a Riemannian manifold, followed by classical applications in landmark and image matching. We then explain how to use the geodesic distance for new issues, which can be embedded in a general framework of matching with free extremities. This is illustrated by results on image and shape averaging and unlabeled landmark matching.