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CCCG
2007
13 years 6 months ago
Capturing Crossings: Convex Hulls of Segment and Plane Intersections
We give a simple O(n log n) algorithm to compute the convex hull of the (possibly Θ(n2 )) intersection points in an arrangement of n line segments in the plane. We also show an a...
Esther M. Arkin, Joseph S. B. Mitchell, Jack Snoey...
COMPGEOM
1991
ACM
13 years 8 months ago
Crossing Families
Given a set of points in the plane, a crossing family is a collection of line segments, each joining two of the points, such that any two line segments intersect internally. Two s...
Boris Aronov, Paul Erdös, Wayne Goddard, Dani...
COMPGEOM
2011
ACM
12 years 8 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan
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...
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 4 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou