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CCCG
2006
15 years 1 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
COMBINATORICA
2004
69views more  COMBINATORICA 2004»
14 years 11 months ago
Structural Results For Planar Sets With Many Similar Subsets
Consider a k-element subset P of the plane. It is known that the maximum number of sets similar to P that can be found among n points in the plane is (n2 ) if and only if the cros...
Bernardo M. Ábrego, György Elekes, Sil...
IJCGA
2007
58views more  IJCGA 2007»
14 years 11 months ago
Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint
Given a set of n points in the plane, we consider the problem of computing the circular ordering of the points about a viewpoint q and efficiently maintaining this ordering inform...
Olivier Devillers, Vida Dujmovic, Hazel Everett, S...
COMGEO
2004
ACM
14 years 11 months ago
A lower bound on the number of triangulations of planar point sets
We show that the number of straight-edge triangulations exhibited by any set of n points in general position in the plane is bounded from below by (2.33n). 2004 Elsevier B.V. All ...
Oswin Aichholzer, Ferran Hurtado, Marc Noy
COMPGEOM
2004
ACM
15 years 5 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir