GPU-assisted Positive Mean Value Coordinates for Mesh Deformations

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LIPMAN, Yaron, Johannes KOPF, Daniel COHEN-OR, David LEVIN, 2007. GPU-assisted Positive Mean Value Coordinates for Mesh Deformations. Symposium on Geometry Processing. Barcelona, Spain, 4. Jul 2007 - 6. Jul 2007. In: BELYAEV, Alexander, ed. and others. SGP 2007: Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing. Symposium on Geometry Processing. Barcelona, Spain, 4. Jul 2007 - 6. Jul 2007. Aire-la-Ville:Eurographics Association. Available under: doi: 10.2312/SGP/SGP07/117-123

@inproceedings{Lipman2007GPUas-5564, title={GPU-assisted Positive Mean Value Coordinates for Mesh Deformations}, year={2007}, doi={10.2312/SGP/SGP07/117-123}, address={Aire-la-Ville}, publisher={Eurographics Association}, booktitle={SGP 2007: Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing}, editor={Belyaev, Alexander}, author={Lipman, Yaron and Kopf, Johannes and Cohen-Or, Daniel and Levin, David} }

deposit-license GPU-assisted Positive Mean Value Coordinates for Mesh Deformations Cohen-Or, Daniel 2007 Kopf, Johannes In this paper we introduce positive mean value coordinates (PMVC) for mesh deformation. Following the observations of DeRose and Meyer [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.<br />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. 2011-03-24T15:56:28Z 2011-03-24T15:56:28Z Lipman, Yaron Levin, David Levin, David Cohen-Or, Daniel application/pdf Lipman, Yaron First publ. in: SGP 2007: Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing ; Barcelona, Spain, July 04-06, 2007 / Eds.: Alexander Belyaev ... Aire-la-Ville : Eurographics Assoc., 2007 Kopf, Johannes eng

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