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» On Convex Quadrangulations of Point Sets on the Plane
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GC
2007
Springer
15 years 6 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
ISVD
2007
IEEE
16 years 10 days ago
Time Convex Hull with a Highway
We consider the problem of computing the time convex hull of a set of points in the presence of a straight-line highway in the plane. The traveling speed in the plane is assumed t...
Teng-Kai Yu, D. T. Lee
COMPGEOM
2010
ACM
15 years 9 months 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
CCCG
2010
15 years 7 months ago
On polygons excluding point sets
By a polygonization of a finite point set S in the plane we understand a simple polygon having S as the set of its vertices. Let B and R be sets of blue and red points, respective...
Radoslav Fulek, Balázs Keszegh, Filip Moric...
DCG
2007
78views more  DCG 2007»
15 years 6 months ago
Convexity in Topological Affine Planes
We extend to topological affine planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon’s, Helly’s, Carath´eodory’s,...
Raghavan Dhandapani, Jacob E. Goodman, Andreas Hol...