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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
COCOON
2003
Springer
14 years 22 days ago
On Constrained Minimum Pseudotriangulations
In this paper, we show some properties of a pseudotriangle and present three combinatorial bounds: the ratio of the size of minimum pseudotriangulation of a point set S and the siz...
Günter Rote, Cao An Wang, Lusheng Wang, Yin-F...
SODA
2008
ACM
118views Algorithms» more  SODA 2008»
13 years 9 months ago
Geodesic Delaunay triangulation and witness complex in the plane
We introduce a new feature size for bounded domains in the plane endowed with an intrinsic metric. Given a point x in a domain X, the homotopy feature size of X at x measures half...
Jie Gao, Leonidas J. Guibas, Steve Oudot, Yue Wang
CCCG
2006
13 years 9 months ago
Tight Bounds for Point Recolouring
In their paper on delineating boundaries from geographic data, Reinbacher et al. [9] use a recolouring method to reclassify points so that the boundaries that separate points of d...
Yurai Núñez Rodríguez, David ...
FOCS
2000
IEEE
13 years 12 months ago
Nearly Optimal Expected-Case Planar Point Location
We consider the planar point location problem from the perspective of expected search time. We are given a planar polygonal subdivision S and for each polygon of the subdivision t...
Sunil Arya, Theocharis Malamatos, David M. Mount