Voronoi-Delaunay duality and Delaunay meshes
Abstract
We define a Delaunay mesh to be a manifold triangle mesh whose edges form an intrinsic Delaunay triangulation or iDT of its vertices, where the triangulated domain is the piecewise flat mesh surface. We show that meshes constructed from a smooth surface by taking an iDT or a restricted Delaunay triangulation, do not in general yield a Delaunay mesh. We establish a precise dual relationship between the iDT and the Voronoi tessellation of the vertices of a piecewise flat (pwf) surface and exploit this duality to demonstrate criteria which ensure the existence of a proper Delaunay triangulation.
Top- Dyer, Ramsay
- Zhang, Hao
- Möller, Torsten
Supplemental Material
Shortfacts
Category |
Paper in Conference Proceedings or in Workshop Proceedings (Full Paper in Proceedings) |
Event Title |
ACM symposium on Solid and physical modeling 2007 |
Divisions |
Visualization and Data Analysis |
Subjects |
Computergraphik |
Event Location |
Beijing |
Event Type |
Conference |
Event Dates |
June 4-6 |
Date |
June 2007 |
Export |