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CCCG
2007
13 years 7 months ago
Optimal Point Set Partitioning using Rigid Motion Star Placement
We consider the problem of determining the placement of a star R on a set P of n points in the plane such that a given objective function is maximized. A star R is a set of m rays...
Prosenjit Bose, Jason Morrison
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&...
FSTTCS
2007
Springer
13 years 11 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...
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