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» Shooting permanent rays among disjoint polygons in the plane
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COMPGEOM
2009
ACM
14 years 2 months ago
Shooting permanent rays among disjoint polygons in the plane
We present a data structure for ray shooting-and-insertion in the free space among disjoint polygonal obstacles with a total of n vertices in the plane, where each ray starts at t...
Mashhood Ishaque, Bettina Speckmann, Csaba D. T&oa...
COMPGEOM
2001
ACM
13 years 11 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
COMPGEOM
1994
ACM
13 years 11 months ago
Computing Envelopes in Four Dimensions with Applications
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
Pankaj K. Agarwal, Boris Aronov, Micha Sharir