Global Intrinsic Symmetries of Shapes

Simple item page
dc.contributor.authorOvsjanikov, Maksen_US
dc.contributor.authorSun, Jianen_US
dc.contributor.authorGuibas, Leonidasen_US
dc.date.accessioned2015-02-21T17:32:27Z
dc.date.available2015-02-21T17:32:27Z
dc.date.issued2008en_US
dc.description.abstractAlthough considerable attention in recent years has been given to the problem of symmetry detection in general shapes, few methods have been developed that aim to detect and quantify the intrinsic symmetry of a shape rather than its extrinsic, or pose-dependent symmetry. In this paper, we present a novel approach for efficiently computing symmetries of a shape which are invariant up to isometry preserving transformations. We show that the intrinsic symmetries of a shape are transformed into the Euclidean symmetries in the signature space defined by the eigenfunctions of the Laplace-Beltrami operator. Based on this observation, we devise an algorithm which detects and computes the isometric mappings from the shape onto itself. We show that our approach is both computationally efficient and robust with respect to small non-isometric deformations, even if they include topological changes.en_US
dc.description.number5en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume27en_US
dc.identifier.doi10.1111/j.1467-8659.2008.01273.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1341-1348en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2008.01273.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleGlobal Intrinsic Symmetries of Shapesen_US
Files
Collections
27-Issue 5
SGP08: Eurographics Symposium on Geometry Processing