@inproceedings{d2ab3dae9bc44bf28822c53af48f284b,
title = "A correspondence-less approach to matching of deformable shapes",
abstract = "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.",
keywords = "Laplace-Beltrami operator, Mumford-Shah regularization, deformable shapes, diffusion geometry, heat kernel signature, partial correspondence, partial matching, partial similarity, shape descriptors",
author = "Jonathan Pokrass and Bronstein, \{Alexander M.\} and Bronstein, \{Michael M.\}",
note = "Funding Information: This research has been supported in part by NSF grant DMI0093142. Opinions expressed in this paper are those of authors and do not necessarily reflect opinion of the sponsors.; 3rd International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2011 ; Conference date: 29-05-2011 Through 02-06-2011",
year = "2012",
doi = "10.1007/978-3-642-24785-9\_50",
language = "الإنجليزيّة",
isbn = "9783642247842",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "592--603",
booktitle = "Scale Space and Variational Methods in Computer Vision - Third International Conference, SSVM 2011, Revised Selected Papers",
}