Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Fast Computation of Delaunay Triangulation using Graphics Hardware
Osami Yamamoto
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2004 Volume 14 Issue 4 Pages 235-266

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Abstract
This paper shows an algorithm to compute Delaunay diagrams approximately using graphics hardware. We introduce some algorithms to compute 2-and 3-dimensional convex hulls. These algorithms compute the edges and the facets of convex hulls analyzing bitmap images generated by graphics hardware. Graphics hardware can generate bitmap images of 3-dimensional objects very fast. The image generated by graphics hardware is an approximation of the continuous image because it consists of discrete pixels. So there are some accuracy and stability problems about the algorithm. But the algorithm can compute the Delaunay triangulation of given generators when the resolution of the image is sufficiently large.
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© 2004 The Japan Society for Industrial and Applied Mathematics
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