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» On lines avoiding unit balls in three dimensions
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COMPGEOM
2004
ACM
13 years 10 months ago
On lines avoiding unit balls in three dimensions
Let B be a set of n unit balls in R3 . We show that the combinatorial complexity of the space of lines in R3 that avoid all the balls of B is O(n3+ε ), for any ε > 0. This re...
Pankaj K. Agarwal, Boris Aronov, Vladlen Koltun, M...
COMPGEOM
2010
ACM
13 years 9 months ago
Lines avoiding balls in three dimensions revisited
Let B be a collection of n arbitrary balls in R3 . We establish an almost-tight upper bound of O(n3+ε ), for any ε > 0, on the complexity of the space F(B) of all the lines t...
Natan Rubin
COMPGEOM
2010
ACM
13 years 9 months ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard
SC
2003
ACM
13 years 10 months ago
SCALLOP: A Highly Scalable Parallel Poisson Solver in Three Dimensions
SCALLOP is a highly scalable solver and library for elliptic partial differential equations on regular block-structured domains. SCALLOP avoids high communication overheads algor...
Gregory T. Balls, Scott B. Baden, Phillip Colella
APVIS
2007
13 years 6 months ago
Adaptive sampling in three dimensions for volume rendering on GPUs
Direct volume rendering of large volumetric data sets on programmable graphics hardware is often limited by the amount of available graphics memory and the bandwidth from main mem...
Martin Kraus, Magnus Strengert, Thomas Klein, Thom...