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» Ray Shooting in Polygons Using Geodesic Triangulations
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ICALP
1991
Springer
13 years 9 months ago
Ray Shooting in Polygons Using Geodesic Triangulations
Bernard Chazelle, Herbert Edelsbrunner, Michelange...
COMGEO
2002
ACM
13 years 6 months ago
Quadtree, ray shooting and approximate minimum weight Steiner triangulation
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...
Siu-Wing Cheng, Kam-Hing Lee
COMPGEOM
2009
ACM
14 years 23 days 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...
LATIN
2004
Springer
13 years 11 months ago
Cost-Optimal Trees for Ray Shooting
Predicting and optimizing the performance of ray shooting is a very important problem in computer graphics due to the severe computational demands of ray tracing and other applicat...
Hervé Brönnimann, Marc Glisse
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 6 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen