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dc.contributor.authorCarrière, Mathieuen_US
dc.contributor.authorOudot, Steve Y.en_US
dc.contributor.authorOvsjanikov, Maksen_US
dc.contributor.editorMirela Ben-Chen and Ligang Liuen_US
dc.date.accessioned2015-07-06T05:00:04Z
dc.date.available2015-07-06T05:00:04Z
dc.date.issued2015en_US
dc.identifier.urihttp://dx.doi.org/10.1111/cgf.12692en_US
dc.description.abstractComparing points on 3D shapes is among the fundamental operations in shape analysis. To facilitate this task, a great number of local point signatures or descriptors have been proposed in the past decades. However, the vast majority of these descriptors concentrate on the local geometry of the shape around the point, and thus are insensitive to its connectivity structure. By contrast, several global signatures have been proposed that successfully capture the overall topology of the shape and thus characterize the shape as a whole. In this paper, we propose the first point descriptor that captures the topology structure of the shape as 'seen' from a single point, in a multiscale and provably stable way. We also demonstrate how a large class of topological signatures, including ours, can be mapped to vectors, opening the door to many classical analysis and learning methods. We illustrate the performance of this approach on the problems of supervised shape labeling and shape matching. We show that our signatures provide complementary information to existing ones and allow to achieve better performance with less training data in both applications.en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectGeometric algorithmsen_US
dc.subjectlanguagesen_US
dc.subjectand systemsen_US
dc.titleStable Topological Signatures for Points on 3D Shapesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.sectionheadersDescriptors and Shape Synthesisen_US
dc.description.volume34en_US
dc.description.number5en_US
dc.identifier.doi10.1111/cgf.12692en_US
dc.identifier.pages001-012en_US


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