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» On the Number of Higher Order Delaunay Triangulations
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COMPGEOM
2010
ACM
13 years 10 months ago
Kinetic stable Delaunay graphs
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
WG
2010
Springer
13 years 3 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,...
VIS
2004
IEEE
139views Visualization» more  VIS 2004»
14 years 6 months ago
Compatible Triangulations of Spatial Decompositions
We describe a general algorithm to produce compatible 3D triangulations from spatial decompositions. Such triangulations match edges and faces across spatial cell boundaries, solv...
Berk Geveci, Mathieu Malaterre, William J. Schroed...
COMGEO
2011
ACM
13 years 14 days ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
CORR
2010
Springer
152views Education» more  CORR 2010»
13 years 3 months ago
Applications of Geometric Algorithms to Reduce Interference in Wireless Mesh Network
In wireless mesh networks such as WLAN (IEEE 802.11s) or WMAN (IEEE 802.11), each node should help to relay packets of neighboring nodes toward gateway using multi-hop routing mec...
Hung-Chin Jang