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» Convexity in Discrete Space
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DIMACS
2001
13 years 9 months ago
Visibility Computations: From Discrete Algorithms to Real Algebraic Geometry
We investigate visibility computations with moving viewpoints. The initial problems are of discrete and algorithmic nature, but even for simple classes of objects (such as balls an...
Thorsten Theobald
COMPGEOM
2005
ACM
13 years 9 months ago
Star splaying: an algorithm for repairing delaunay triangulations and convex hulls
Star splaying is a general-dimensional algorithm that takes as input a triangulation or an approximation of a convex hull, and produces the Delaunay triangulation, weighted Delaun...
Jonathan Richard Shewchuk
COMPGEOM
2011
ACM
12 years 11 months ago
Integer representations of convex polygon intersection graphs
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...
DCG
2011
13 years 2 months ago
More Colourful Simplices
We show that any point in the convex hull of each of (d +1) sets of (d +1) points in general position in Rd is contained in at least (d + 1)2/2 simplices with one vertex from each ...
Antoine Deza, Tamon Stephen, Feng Xie
COMPGEOM
2009
ACM
14 years 2 months ago
Quadrilateral meshes with bounded minimum angle
In this paper, we present an algorithm that utilizes a quadtree data structure to construct a strictly convex quadrilateral mesh for a simple polygonal region in which no newly cr...
Scott Hine, F. Betul Atalay, Dianna Xu, Suneeta Ra...