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COMPGEOM
1992
ACM
14 years 1 months ago
Piercing Convex Sets
A family of sets has the (p, q) property if among any p members of the family some q have a nonempty intersection. It is shown that for every p q d + 1 there is a c = c(p, q, d)...
Noga Alon, Daniel J. Kleitman
IV
2009
IEEE
191views Visualization» more  IV 2009»
14 years 4 months ago
Some Results for Drawing Area Proportional Venn3 With Convex Curves
Many data sets are visualized effectively with area proportional Venn diagrams, where the area of the regions is in proportion to a defined specification. In particular, Venn diag...
Peter Rodgers, Jean Flower, Gem Stapleton, John Ho...
COMPGEOM
1994
ACM
14 years 1 months ago
Query-Sensitive Ray Shooting
Ray (segment) shooting is the problem of determining the first intersection between a ray (directed line segment) and a collection of polygonal or polyhedral obstacles. In order t...
Joseph S. B. Mitchell, David M. Mount, Subhash Sur...
DAGSTUHL
2003
13 years 11 months ago
Reliable Distance and Intersection Computation Using Finite Precision Geometry
In this paper we discuss reliable methods in the field of finite precision geometry. We begin with a brief survey of geometric computing and approaches generally used in dealing ...
Katja Bühler, Eva Dyllong, Wolfram Luther
COMPGEOM
2010
ACM
14 years 29 days ago
Tangencies between families of disjoint regions in the plane
Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the memb...
János Pach, Andrew Suk, Miroslav Treml