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SPAA
2005
ACM
14 years 2 months ago
Oblivious routing on geometric networks
We study oblivious routing in which the packet paths are constructed independently of each other. We give a simple oblivious routing algorithm for geometric networks in which the ...
Costas Busch, Malik Magdon-Ismail, Jing Xi
STOC
2001
ACM
132views Algorithms» more  STOC 2001»
14 years 9 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son
ICCV
2007
IEEE
14 years 10 months ago
Geometric Integrability and Consistency of 3D Point Clouds
Numerous applications processing 3D point data will gain from the ability to estimate reliably normals and differential geometric properties. Normal estimates are notoriously nois...
George Kamberov, Gerda Kamberova
FOCS
2007
IEEE
14 years 3 months ago
On the Optimality of Planar and Geometric Approximation Schemes
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
Dániel Marx
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert