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dc.contributor.authorLipman, Yaronen_US
dc.contributor.authorKopf, Johannesen_US
dc.contributor.authorCohen-Or, Danielen_US
dc.contributor.authorLevin, Daviden_US
dc.contributor.editorAlexander Belyaev and Michael Garlanden_US
dc.date.accessioned2014-01-29T09:43:11Z
dc.date.available2014-01-29T09:43:11Z
dc.date.issued2007en_US
dc.identifier.isbn978-3-905673-46-3en_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttp://dx.doi.org/10.2312/SGP/SGP07/117-123en_US
dc.description.abstractIn this paper we introduce positive mean value coordinates (PMVC) for mesh deformation. Following the observations of Joshi et al. [JMD*07] we show the advantage of having positive coordinates. The control points of the deformation are the vertices of a "cage" enclosing the deformed mesh. To define positive mean value coordinates for a given vertex, the visible portion of the cage is integrated over a sphere. Unlike MVC [JSW05], PMVC are computed numerically. We show how the PMVC integral can be efficiently computed with graphics hardware. While the properties of PMVC are similar to those of Harmonic coordinates [JMD*07], the setup time of the PMVC is only of a few seconds for typical meshes with 30K vertices. This speed-up renders the new coordinates practical and easy to use.en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Line and Curve Generationen_US
dc.titleGPU-assisted Positive Mean Value Coordinates for Mesh Deformationsen_US
dc.description.seriesinformationGeometry Processingen_US


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