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COMPGEOM
2010
ACM
14 years 24 days ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir
WADS
2007
Springer
106views Algorithms» more  WADS 2007»
14 years 1 months ago
Maximizing Maximal Angles for Plane Straight-Line Graphs
Let G = (S, E) be a plane straight-line graph on a finite point set S ⊂ R2 in general position. The incident angles of a point p ∈ S in G are the angles between any two edges ...
Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, ...
FSTTCS
2007
Springer
14 years 1 months ago
Triangulations of Line Segment Sets in the Plane
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...
Mathieu Brévilliers, Nicolas Chevallier, Do...
COMPGEOM
1990
ACM
13 years 11 months ago
Minimum-Link Paths Among Obstacles in the Plane
Given a set of nonintersecting polygonal obstacles in the plane, the link distance between two points s and t is the minimum number of edges required to form a polygonal path conn...
Joseph S. B. Mitchell, Günter Rote, Gerhard J...
GM
1999
Springer
14 years 21 min ago
Data-Dependent Triangulation in the Plane with Adaptive Knot Placement
In many applications one is concerned with the approximation of functions from a finite set of scattered data sites with associated function values. We describe a scheme for cons...
René Schätzl, Hans Hagen, James C. Bar...