Compressed Manifold Modes for Mesh Processing

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dc.contributor.authorNeumann, Thomasen_US
dc.contributor.authorVaranasi, Kiranen_US
dc.contributor.authorTheobalt, Christianen_US
dc.contributor.authorMagnor, Marcusen_US
dc.contributor.authorWacker, Markusen_US
dc.contributor.editorThomas Funkhouser and Shi-Min Huen_US
dc.date.accessioned2015-03-03T12:41:42Z
dc.date.available2015-03-03T12:41:42Z
dc.date.issued2014en_US
dc.description.abstractThis paper introduces compressed eigenfunctions of the Laplace-Beltrami operator on 3D manifold surfaces. They constitute a novel functional basis, called the compressed manifold basis, where each function has local support. We derive an algorithm, based on the alternating direction method of multipliers (ADMM), to compute this basis on a given triangulated mesh. We show that compressed manifold modes identify key shape features, yielding an intuitive understanding of the basis for a human observer, where a shape can be processed as a collection of parts. We evaluate compressed manifold modes for potential applications in shape matching and mesh abstraction. Our results show that this basis has distinct advantages over existing alternatives, indicating high potential for a wide range of use-cases in mesh processing.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12429en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titleCompressed Manifold Modes for Mesh Processingen_US
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33-Issue 5
SGP14: Eurographics Symposium on Geometry Processing (CGF 33-5)