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IPL
2008
105views more  IPL 2008»
14 years 11 months ago
Hausdorff approximation of 3D convex polytopes
Let P be a convex polytope in Rd , d = 3 or 2, with n vertices. We present linear time algorithms for approximating P by simpler polytopes. For instance, one such algorithm select...
Mario A. Lopez, Shlomo Reisner
DC
2010
14 years 11 months ago
Distributed algorithms for ultrasparse spanners and linear size skeletons
We present efficient algorithms for computing very sparse low distortion spanners in distributed networks and prove some non-trivial lower bounds on the tradeoff between time, spar...
Seth Pettie
TALG
2010
158views more  TALG 2010»
14 years 6 months ago
Clustering for metric and nonmetric distance measures
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure D. Given a finite set P of size n, our goal is to find a set C of size k such t...
Marcel R. Ackermann, Johannes Blömer, Christi...
SODA
2010
ACM
171views Algorithms» more  SODA 2010»
15 years 9 months ago
Coresets and Sketches for High Dimensional Subspace Approximation Problems
We consider the problem of approximating a set P of n points in Rd by a j-dimensional subspace under the p measure, in which we wish to minimize the sum of p distances from each p...
Dan Feldman, Morteza Monemizadeh, Christian Sohler...
111
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SI3D
2010
ACM
15 years 6 months ago
Parallel Banding Algorithm to compute exact distance transform with the GPU
We propose a Parallel Banding Algorithm (PBA) on the GPU to compute the exact Euclidean Distance Transform (EDT) for a binary image in 2D and higher dimensions. Partitioning the i...
Thanh-Tung Cao, Ke Tang, Anis Mohamed, Tiow Seng T...