Finding a match between partially available deformable shapes is a challenging problem with numerous applications. The problem is usually approached by computing local descriptors on a pair of shapes and then establishing a point-wise correspondence between the two. In this paper, we introduce an alternative correspondence-less approach to matching fragments to an entire shape undergoing a non-rigid deformation. We use diffusion geometric descriptors and optimize over the integration domains on which the integral descriptors of the two parts match. The problem is regularized using the Mumford-Shah functional. We show an efficient discretization based on the Ambrosio-Tortorelli approximation generalized to triangular meshes. Experiments demonstrating the success of the proposed method are presented.
@article{arxiv.1101.5687,
title = {A correspondence-less approach to matching of deformable shapes},
author = {Jonathan Pokrass and Alexander M. Bronstein and Michael M. Bronstein},
journal= {arXiv preprint arXiv:1101.5687},
year = {2011}
}
Comments
Preprint submitted to Intl. Conference on Scale Space and Variational Methods (SSVM'11)