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» Separators in Two and Three Dimensions
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COMPGEOM
2004
ACM
15 years 2 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
65
Voted
COMPGEOM
2010
ACM
15 years 2 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
APVIS
2007
14 years 11 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...
ICRA
1999
IEEE
110views Robotics» more  ICRA 1999»
15 years 1 months ago
Range-Sensor Based Navigation in Three Dimensions
This paper presents a new globally convergent rangesensor based navigation algorithm in three-dimensions, called 3DBug. The 3DBug algorithm navigates a point robot in a three-dime...
Ishay Kamon, Ehud Rivlin, Elon Rimon
93
Voted
COMPGEOM
1998
ACM
15 years 1 months ago
Constructing Approximate Shortest Path Maps in Three Dimensions
We present a new technique for constructing a data-structure that approximates shortest path maps in IRd . By applying this technique, we get the following two results on approxim...
Sariel Har-Peled