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» Shooting permanent rays among disjoint polygons in the plane
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COMPGEOM
2009
ACM
13 years 11 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 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
COMPGEOM
1994
ACM
13 years 8 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