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COMPGEOM
2001
ACM
13 years 9 months ago
Balanced lines, halving triangles, and the generalized lower bound theorem
A recent result by Pach and Pinchasi on so-called balanced lines of a finite two-colored point set in the plane is related to other facts on halving triangles in 3-space and to a ...
Micha Sharir, Emo Welzl
SODA
2008
ACM
123views Algorithms» more  SODA 2008»
13 years 7 months ago
Delaunay graphs of point sets in the plane with respect to axis-parallel rectangles
Given a point set P in the plane, the Delaunay graph with respect to axis-parallel rectangles is a graph defined on the vertex set P, whose two points p, q P are connected by an ...
Xiaomin Chen, János Pach, Mario Szegedy, G&...
CCCG
2008
13 years 7 months ago
On distinct distances among points in general position and other related problems
A set of points in the plane is said to be in general position if no three of them are collinear and no four of them are cocircular. If a point set determines only distinct vector...
Adrian Dumitrescu
WADS
2005
Springer
149views Algorithms» more  WADS 2005»
13 years 11 months ago
Balanced Aspect Ratio Trees Revisited
Spatial databases support a variety of geometric queries on point data such as range searches, nearest neighbor searches, etc. Balanced Aspect Ratio (BAR) trees are hierarchical sp...
Amitabh Chaudhary, Michael T. Goodrich
CCCG
2010
13 years 7 months ago
Compatible pointed pseudo-triangulations
For a given point set S (in general position), two pointed pseudo-triangulations are compatible if their union is plane. We show that for any set S there exist two maximally disjo...
Thomas Hackl, Oswin Aichholzer, Birgit Vogtenhuber