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» On distinct distances among points in general position and o...
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STOC
1998
ACM
139views Algorithms» more  STOC 1998»
13 years 9 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

Publication
101views
11 years 10 months ago
On the degree and half-degree principle for symmetric polynomials
In this note we aim to give a new, elementary proof of a statement that was first proved by Timofte (2003) [15]. It says that a symmetric real polynomial F of degree d in n variabl...
Cordian Riener
CGF
2005
138views more  CGF 2005»
13 years 4 months ago
Approximation of a Variable Density Cloud of Points by Shrinking a Discrete Membrane
This paper describes a method to obtain a closed surface that approximates a general 3D data point set with non-uniform density. Aside from the positions of the initial data point...
Jordi Esteve, Pere Brunet, Alvar Vinacua
DM
1998
91views more  DM 1998»
13 years 4 months ago
On some relations between 2-trees and tree metrics
A tree function (TF) t on a ÿnite set X is a real function on the set of the pairs of elements of X satisfying the four-point condition: for all distinct x; y; z; w ∈ X; t(xy)+...
Bruno Leclerc, Vladimir Makarenkov
IPPS
1996
IEEE
13 years 9 months ago
The Chessboard Distance Transform and the Medial Axis Transform are Interchangeable
The distance transform (DT) and the medial axis transform (MAT) are two image computation tools used to extract the information about the shape and the position of the foreground ...
Yu-Hua Lee, Shi-Jinn Horng