GPU-assisted Positive Mean Value Coordinates for Mesh Deformations
| dc.contributor.author | Lipman, Yaron | en_US |
| dc.contributor.author | Kopf, Johannes | en_US |
| dc.contributor.author | Cohen-Or, Daniel | en_US |
| dc.contributor.author | Levin, David | en_US |
| dc.contributor.editor | Alexander Belyaev and Michael Garland | en_US |
| dc.date.accessioned | 2014-01-29T09:43:11Z | |
| dc.date.available | 2014-01-29T09:43:11Z | |
| dc.date.issued | 2007 | en_US |
| dc.description.abstract | In 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.description.seriesinformation | Geometry Processing | en_US |
| dc.identifier.isbn | 978-3-905673-46-3 | en_US |
| dc.identifier.issn | 1727-8384 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/SGP/SGP07/117-123 | en_US |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | Categories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Line and Curve Generation | en_US |
| dc.title | GPU-assisted Positive Mean Value Coordinates for Mesh Deformations | en_US |
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