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» On Convex Quadrangulations of Point Sets on the Plane
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GC
2007
Springer
14 years 9 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
15 years 4 months 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 1 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
14 years 11 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»
14 years 9 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...