Publikation: GPU-assisted Positive Mean Value Coordinates for Mesh Deformations
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2007
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BELYAEV, Alexander, ed. and others. SGP 2007: Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing. Aire-la-Ville: Eurographics Association, 2007. Available under: doi: 10.2312/SGP/SGP07/117-123
Zusammenfassung
In this paper we introduce positive mean value coordinates (PMVC) for mesh deformation. Following the observations of DeRose and Meyer [JMD07] 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 [JMD07], 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.
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Symposium on Geometry Processing, 4. Juli 2007 - 6. Juli 2007, Barcelona, Spain
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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. Juli 2007 - 6. Juli 2007. In: BELYAEV, Alexander, ed. and others. SGP 2007: Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing. Aire-la-Ville: Eurographics Association, 2007. Available under: doi: 10.2312/SGP/SGP07/117-123BibTex
@inproceedings{Lipman2007GPUas-5564,
year={2007},
doi={10.2312/SGP/SGP07/117-123},
title={GPU-assisted Positive Mean Value Coordinates for Mesh Deformations},
publisher={Eurographics Association},
address={Aire-la-Ville},
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}
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