Laplace-Beltrami Eigenfunctions for Deformation Invariant Shape Representation

dc.contributor.author	Rustamov, Raif M.	en_US
dc.contributor.editor	Alexander Belyaev and Michael Garland	en_US
dc.date.accessioned	2014-01-29T09:43:15Z
dc.date.available	2014-01-29T09:43:15Z
dc.date.issued	2007	en_US
dc.description.abstract	A deformation invariant representation of surfaces, the GPS embedding, is introduced using the eigenvalues and eigenfunctions of the Laplace-Beltrami differential operator. Notably, since the definition of the GPS embedding completely avoids the use of geodesic distances, and is based on objects of global character, the obtained representation is robust to local topology changes. The GPS embedding captures enough information to handle various shape processing tasks as shape classification, segmentation, and correspondence. To demonstrate the practical relevance of the GPS embedding, we introduce a deformation invariant shape descriptor called G2-distributions, and demonstrate their discriminative power, invariance under natural deformations, and robustness.	en_US
dc.description.seriesinformation	Geometry Processing	en_US
dc.identifier.isbn	978-3-905673-46-3	en_US
dc.identifier.issn	1727-8384	en_US
dc.identifier.uri	https://doi.org/10.2312/SGP/SGP07/225-233	en_US
dc.publisher	The Eurographics Association	en_US
dc.title	Laplace-Beltrami Eigenfunctions for Deformation Invariant Shape Representation	en_US

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