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» On Convex Quadrangulations of Point Sets on the Plane
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COMPGEOM
1991
ACM
15 years 1 months ago
Crossing Families
Given a set of points in the plane, a crossing family is a collection of line segments, each joining two of the points, such that any two line segments intersect internally. Two s...
Boris Aronov, Paul Erdös, Wayne Goddard, Dani...
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
15 years 4 months ago
Piercing Translates and Homothets of a Convex Body
According to a classical result of Gr¨unbaum, the transversal number τ(F) of any family F of pairwise-intersecting translates or homothets of a convex body C in Rd is bounded by...
Adrian Dumitrescu, Minghui Jiang
71
Voted
CVPR
2001
IEEE
15 years 11 months ago
Convex and Non-convex Illuminant Constraints for Dichromatic Colour Constancy
The dichromatic reflectance model introduced by Shafer [16] predicts that the colour signals of most materials fall on a plane spanned by a vector due to the material and a vector...
Graham D. Finlayson, Gerald Schaefer
COMPGEOM
2004
ACM
15 years 3 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu
ORDER
2010
89views more  ORDER 2010»
14 years 8 months ago
On Order Types of Systems of Segments in the Plane
Let r(n) denote the largest integer such that every family C of n pairwise disjoint segments in the plane in general position has r(n) members whose order type can be represented ...
Andrew Suk