Localized Manifold Harmonics for Spectral Shape Analysis

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dc.contributor.author Melzi, Simone en_US
dc.contributor.author Rodolà, Emanuele en_US
dc.contributor.author Castellani, Umberto en_US
dc.contributor.author Bronstein, Michael M. en_US
dc.contributor.editor Jakob Andreas Bærentzen and Klaus Hildebrandt en_US
dc.date.accessioned 2017-07-02T17:44:41Z
dc.date.available 2017-07-02T17:44:41Z
dc.date.issued 2017
dc.identifier.isbn 978-3-03868-047-5
dc.identifier.issn 1727-8384
dc.identifier.uri http://dx.doi.org/10.2312/sgp.20171203
dc.identifier.uri https://diglib.eg.org:443/handle/10.2312/sgp20171203
dc.description.abstract The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. A key drawback of such bases is their inherently global nature, as the Laplacian eigenfunctions carry geometric and topological structure of the entire manifold. In this paper, we introduce a new framework for local spectral shape analysis. We show how to efficiently construct localized orthogonal bases by solving an optimization problem that in turn can be posed as the eigendecomposition of a new operator obtained by a modification of the standard Laplacian. We study the theoretical and computational aspects of the proposed framework and showcase our new construction on the classical problems of shape approximation and correspondence. en_US
dc.publisher The Eurographics Association en_US
dc.subject Computing methodologies
dc.subject > Shape analysis
dc.title Localized Manifold Harmonics for Spectral Shape Analysis en_US
dc.description.seriesinformation Symposium on Geometry Processing 2017- Posters
dc.description.sectionheaders Posters
dc.identifier.doi 10.2312/sgp.20171203
dc.identifier.pages 5-6

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