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» Stabbing Circles for Sets of Segments in the Plane
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COMGEO
2011
ACM
12 years 11 months ago
Stabbers of line segments in the plane
The problem of computing a representation of the stabbing lines of a set S of segments in the plane was solved by Edelsbrunner et al. We provide efficient algorithms for the follo...
Mercè Claverol, Delia Garijo, Clara I. Grim...
FSTTCS
2007
Springer
13 years 10 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 6 months ago
Smallest enclosing circle centered on a query line segment
Given a set of n points P = {p1, p2, . . . , pn} in the plane, we show how to preprocess P such that for any query line segment L we can report in O(log n) time the smallest enclo...
Prosenjit Bose, Stefan Langerman, Sasanka Roy
COMPGEOM
2001
ACM
13 years 8 months ago
Segment intersection searching problems in general settings
We consider segment intersection searching amidst (possibly intersecting) algebraic arcs in the plane. We show how to preprocess n arcs in time O(n2+ ) into a data structure of si...
Vladlen Koltun
SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
13 years 11 months ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...