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COMPGEOM
2010
ACM
15 years 11 months 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»
16 years 25 days 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
16 years 26 days 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
15 years 10 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
15 years 11 months 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...