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ESA
2011
Springer
252views Algorithms» more  ESA 2011»
12 years 6 months ago
Ray-Shooting Depth: Computing Statistical Data Depth of Point Sets in the Plane
Over the past several decades, many combinatorial measures have been devised for capturing the statistical data depth of a set of n points in R2 . These include Tukey depth [15], O...
Nabil H. Mustafa, Saurabh Ray, Mudassir Shabbir
COCOON
2005
Springer
13 years 12 months ago
A PTAS for a Disc Covering Problem Using Width-Bounded Separators
In this paper, we study the following disc covering problem: Given a set of discs of various radii on the plane, find a subset of discs to maximize the area covered by exactly on...
Zhixiang Chen, Bin Fu, Yong Tang, Binhai Zhu
IJCGA
2008
77views more  IJCGA 2008»
13 years 6 months ago
Bounded-Velocity Approximation of Mobile Euclidean 2-Centres
Given a set P of points (clients) in the plane, a Euclidean 2-centre of P is a set of two points (facilities) in the plane such that the maximum distance from any client to its ne...
Stephane Durocher, David G. Kirkpatrick
ISAAC
2004
Springer
135views Algorithms» more  ISAAC 2004»
13 years 11 months ago
Geometric Optimization Problems Over Sliding Windows
Abstract. We study the problem of maintaining a (1+ )-factor approximation of the diameter of a stream of points under the sliding window model. In one dimension, we give a simple ...
Timothy M. Chan, Bashir S. Sadjad
CORR
1999
Springer
222views Education» more  CORR 1999»
13 years 6 months ago
Analysis of approximate nearest neighbor searching with clustered point sets
Abstract. Nearest neighbor searching is a fundamental computational problem. A set of n data points is given in real d-dimensional space, and the problem is to preprocess these poi...
Songrit Maneewongvatana, David M. Mount