GPU-assisted Positive Mean Value Coordinates for Mesh Deformations

Lipman, Yaron; Kopf, Johannes; Cohen-Or, Daniel; Levin, David

GPU-assisted Positive Mean Value Coordinates for Mesh Deformations

Files

117-123.pdf (471.92 KB)

Date

2007

Authors

Lipman, Yaron
Kopf, Johannes
Cohen-Or, Daniel
Levin, David

Publisher

The Eurographics Association

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.

        @inproceedings{:10.2312/SGP/SGP07/117-123
,
booktitle = {Geometry Processing
},
editor = {Alexander Belyaev and Michael Garland
},
title = {{GPU-assisted Positive Mean Value Coordinates for Mesh Deformations
}},
author = {Lipman, Yaron and 
Kopf, Johannes and 
Cohen-Or, Daniel and 
Levin, David
},
year = {2007
},
publisher = {The Eurographics Association
},
ISSN = {1727-8384
},
ISBN = {978-3-905673-46-3
},
DOI = {/10.2312/SGP/SGP07/117-123
}
}