44 search results - page 3 / 9 » On the number of rectangulations of a planar point set |
COMPGEOM
2006
ACM
14 years 1 months ago
2006
ACM
Let S be a finite set of n + 3 points in general position in the plane, with 3 extreme points and n interior points. We consider triangulations drawn uniformly at random from the...
IPCO
2007
13 years 9 months ago
2007
Erd˝os, Purdy, and Straus conjectured that the number of distinct (nonzero) areas of the triangles determined by n noncollinear points in the plane is at least n−1 2 , which is...
CORR
2002
Springer
13 years 7 months ago
2002
Springer
In this paper we give upper and lower bounds on the number of Steiner points required to construct a strictly convex quadrilateral mesh for a planar point set. In particular, we sh...
CCCG
2006
13 years 9 months ago
2006
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...
COMPGEOM
2004
ACM
14 years 27 days ago
2004
ACM
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...