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» Aspect-ratio Voronoi diagram and its complexity bounds
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ESA
2008
Springer
97views Algorithms» more  ESA 2008»
14 years 18 days 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 11 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 10 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 9 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