Geodesic Matching with Free Extremities

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.

• Type: Journal
• Year: 2006
• Where: JMIV
• Authors: Laurent Garcin, Laurent Younes
• Keywords: Geodesic Distance, Geodesic Energies, JMIV 2006, Unlabeled Landmark Matching