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SODA
1992
ACM
135views Algorithms» more  SODA 1992»
13 years 8 months ago
Applications of Parametric Searching in Geometric Optimization
We present several applications in computational geometry of Megiddo's parametric searching technique. These applications include: (1) Finding the minimum Hausdorff distance ...
Pankaj K. Agarwal, Micha Sharir, Sivan Toledo
COLOGNETWENTE
2008
13 years 8 months ago
A Simple 3-Approximation of Minimum Manhattan Networks
Given a set P of n points in the plane, a Manhattan network of P is a network that contains a rectilinear shortest path between every pair of points of P. A minimum Manhattan netw...
Bernhard Fuchs, Anna Schulze
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
13 years 11 months ago
Approximation Schemes for Euclidean k-Medians and Related Problems
In the k-median problem we are given a set S of n points in a metric space and a positive integer k. We desire to locate k medians in space, such that the sum of the distances fro...
Sanjeev Arora, Prabhakar Raghavan, Satish Rao
ESA
2003
Springer
96views Algorithms» more  ESA 2003»
14 years 19 days ago
Streaming Geometric Optimization Using Graphics Hardware
In this paper we propose algorithms for solving a variety of geometric optimization problems on a stream of points in R2 or R3 . These problems include various extent measures (e.g...
Pankaj K. Agarwal, Shankar Krishnan, Nabil H. Must...
CIE
2010
Springer
14 years 6 days ago
Approximate Self-assembly of the Sierpinski Triangle
The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex (typically aperiodic) DNA crystals. Winfree ex...
Jack H. Lutz, Brad Shutters