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» Geodesic delaunay triangulations in bounded planar domains
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SGP
2007
14 years 12 months ago
Triangulations with locally optimal Steiner points
We present two new Delaunay refinement algorithms, second an extension of the first. For a given input domain (a set of points or a planar straight line graph), and a threshold an...
Hale Erten, Alper Üngör
WG
2010
Springer
14 years 8 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
DCG
2008
118views more  DCG 2008»
14 years 9 months ago
General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties
Two-dimensional constrained Delaunay triangulations are geometric structures that are popular for interpolation and mesh generation because they respect the shapes of planar domai...
Jonathan Richard Shewchuk
OPODIS
2004
14 years 11 months ago
Fast Localized Delaunay Triangulation
A localized Delaunay triangulation owns the following interesting properties in a wireless ad hoc setting: it can be built with localized information, the communication cost impos...
Filipe Araújo, Luís Rodrigues
COMGEO
2006
ACM
14 years 9 months ago
On the sizes of Delaunay meshes
Let P be a polyhedral domain occupying a convex volume. We prove that the size of a graded mesh of P with bounded vertex degree is within a factor O(H3 P ) of the size of any Dela...
Siu-Wing Cheng