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» Complexity of O'Hara's Algorithm
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76
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SWAT
1998
Springer
84views Algorithms» more  SWAT 1998»
15 years 4 months ago
Models and Motion Planning
We study the complexity of the motion planning problem for a bounded-reach robot in the situation where the n obstacles in its workspace satisfy two of the realistic models propos...
Mark de Berg, Matthew J. Katz, Mark H. Overmars, A...
STOC
1994
ACM
93views Algorithms» more  STOC 1994»
15 years 4 months ago
Scalable expanders: exploiting hierarchical random wiring
Recent work has shown many advantages to randomly wired expander-based networks. Unfortunately, the wiring complexity of such networks becomes physically problematic as they becom...
Eric A. Brewer, Frederic T. Chong, Tom Leighton
107
Voted
SODA
2003
ACM
127views Algorithms» more  SODA 2003»
15 years 1 months ago
Binary space partitions for 3D subdivisions
We consider the following question: Given a subdivision of space into n convex polyhedral cells, what is the worst-case complexity of a binary space partition (BSP) for the subdiv...
John Hershberger, Subhash Suri
99
Voted
FOCM
2008
76views more  FOCM 2008»
15 years 20 days ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
111
Voted
CGI
1998
IEEE
15 years 4 months ago
Hierarchical Visibility Culling with Occlusion Trees
In the scope of rendering complex models with high depth complexity, it is of great importance to design outputsensitive algorithms, i.e., algorithms with the time complexity prop...
Jirí Bittner, Vlastimil Havran, Pavel Slav&...