Sciweavers

30 search results - page 1 / 6
» Crossing edges and faces of line arrangements in the plane
Sort
View
FOCS
1999
IEEE
13 years 9 months ago
Taking a Walk in a Planar Arrangement
We present a randomized algorithm for computing portions of an arrangement of n arcs in the plane, each pair of which intersect in at most t points. We use this algorithm to perfo...
Sariel Har-Peled
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
1994
ACM
13 years 8 months ago
Computing Many Faces in Arrangements of Lines and Segments
We present randomized algorithms for computing many faces in an arrangement of lines or of segments in the plane, which are considerably simpler and slightly faster than the previo...
Pankaj K. Agarwal, Jirí Matousek, Otfried S...
WAE
2000
95views Algorithms» more  WAE 2000»
13 years 6 months ago
Two-Dimensional Arrangements in CGAL and Adaptive Point Location for Parametric Curves
Given a collection C of curves in the plane, the arrangement of C is the subdivision of the plane into vertices, edges and faces induced by the curves in C. Constructing arrangemen...
Iddo Hanniel, Dan Halperin
COMPGEOM
1996
ACM
13 years 8 months ago
On the Number of Arrangements of Pseudolines
Given a simple arrangementof n pseudolines in the Euclidean plane, associate with line i the list i of the lines crossing i in the order of the crossings on line i. i = ( i 1; i 2;...
Stefan Felsner