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ICIP
2002
IEEE
15 years 11 months ago
Fitting smooth surfaces to scattered 3D data using piecewise quadratic approximation
The approximation of surfaces to scattered data is an important problem encountered in a variety of scientific applications, such as reverse engineering, computer vision, computer...
Hélio Pedrini, Murilo Vicente Gonçal...
WADS
2009
Springer
243views Algorithms» more  WADS 2009»
15 years 4 months ago
Approximation Algorithms for Buy-at-Bulk Geometric Network Design
Abstract. The buy-at-bulk network design problem has been extensively studied in the general graph model. In this paper we consider the geometric version of the problem, where all ...
Artur Czumaj, Jurek Czyzowicz, Leszek Gasieniec, J...
FOCS
2008
IEEE
15 years 4 months ago
Sketching and Streaming Entropy via Approximation Theory
We give near-optimal sketching and streaming algorithms for estimating Shannon entropy in the most general streaming model, with arbitrary insertions and deletions. This improves ...
Nicholas J. A. Harvey, Jelani Nelson, Krzysztof On...
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 4 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
ISAAC
2005
Springer
122views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Fast k-Means Algorithms with Constant Approximation
In this paper we study the k-means clustering problem. It is well-known that the general version of this problem is NP-hard. Numerous approximation algorithms have been proposed fo...
Mingjun Song, Sanguthevar Rajasekaran