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CCCG
2006
13 years 9 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
SODA
2004
ACM
111views Algorithms» more  SODA 2004»
13 years 9 months ago
Almost-Delaunay simplices: nearest neighbor relations for imprecise points
Delaunay tessellations and Voronoi diagrams capture proximity relationships among sets of points in any dimension. When point coordinates are not known exactly, as in the case of ...
Deepak Bandyopadhyay, Jack Snoeyink
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 7 months ago
On the Stretch Factor of Convex Delaunay Graphs
Let C be a compact and convex set in the plane that contains the origin in its interior, and let S be a finite set of points in the plane. The Delaunay graph DGC (S) of S is define...
Prosenjit Bose, Paz Carmi, Sébastien Collet...
DCG
2010
132views more  DCG 2010»
13 years 7 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
COMPGEOM
2007
ACM
13 years 11 months ago
Medial axis approximation from inner Voronoi balls: a demo of the Mesecina tool
We illustrate a simple algorithm for approximating the medial axis of a 2D shape with smooth boundary from a sample of this boundary. The algorithm is compared to a more general a...
Balint Miklos, Joachim Giesen, Mark Pauly