We propose an algorithm achieving the matching of two point sets with unknown correspondence via the joint clustering of the two sets and estimation of a diffeomorphism linking the cluster centers via geodesic splines.
In this paper, we first detail the geodesic matching of images which consists in minimizing an energy resulting from a Riemannian metric on a man-ifold of images, which itself comes from the projection of a Riemannian metric on a deformation group onto the image manifold. We will then present an energy minimization technique based on a wavelet analysis of… (More)
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… (More)