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» Stabbing Circles for Sets of Segments in the Plane
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COMGEO
2011
ACM
13 years 3 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
14 years 2 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 10 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
14 years 5 days 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»
14 years 3 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. ...