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COMPGEOM
2000
ACM
15 years 1 months ago
Delaunay triangulations and Voronoi diagrams for Riemannian manifolds
For a sufficiently dense set of points in any closed Riemannian manifold, we prove that a unique Delannay triangulation exists. This triangulation has the same properties as in Eu...
Greg Leibon, David Letscher
SODA
2003
ACM
112views Algorithms» more  SODA 2003»
14 years 11 months ago
Perturbations and vertex removal in a 3D delaunay triangulation
Though Delaunay triangulations are very well known geometric data structures, the problem of the robust removal of a vertex in a three-dimensional Delaunay triangulation is still ...
Olivier Devillers, Monique Teillaud
CCCG
2009
14 years 10 months ago
On the Dilation of Delaunay Triangulations of Points in Convex Position
Let S be a finite set of points in the Euclidean plane, and let E be the complete graph whose point-set is S. Chew, in 1986, proved a lower bound of /2 on the stretch factor of th...
Shiliang Cui, Iyad A. Kanj, Ge Xia
89
Voted
ISAAC
1999
Springer
110views Algorithms» more  ISAAC 1999»
15 years 1 months ago
Online Routing in Triangulations
We consider online routing algorithms for routing between the vertices of embedded planar straight line graphs. Our results include (1) two deterministic memoryless routing algorit...
Prosenjit Bose, Pat Morin
COMPGEOM
1995
ACM
15 years 1 months ago
Triangulations Intersect Nicely
Abstract. We show that there is a matching between the edges of any two triangulations of a planar point set such that an edge of one triangulation is matched either to the identic...
Oswin Aichholzer, Franz Aurenhammer, Michael Tasch...