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» Aspect-ratio Voronoi diagram and its complexity bounds
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ESA
2008
Springer
97views Algorithms» more  ESA 2008»
13 years 6 months ago
The Complexity of Bisectors and Voronoi Diagrams on Realistic Terrains
We prove tight bounds on the complexity of bisectors and Voronoi diagrams on so-called realistic terrains, under the geodesic distance. In particular, if n denotes the number of tr...
Boris Aronov, Mark de Berg, Shripad Thite
DCG
2010
132views more  DCG 2010»
13 years 5 months ago
Delaunay Refinement for Piecewise Smooth Complexes
We present a Delaunay refinement algorithm for meshing a piecewise smooth complex in three dimensions. The algorithm protects edges with weighted points to avoid the difficulty po...
Siu-Wing Cheng, Tamal K. Dey, Edgar A. Ramos
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 4 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou
ISVD
2010
IEEE
13 years 3 months ago
Fast Dynamic Voronoi Treemaps
—The Voronoi Treemap is a space-filling treemap technique that relaxes the constraints of rectangular nodes. Its organic shapes maintain a one-to-one aspect ratio, are flexible...
Avneesh Sud, Danyel Fisher, Huai-Ping Lee