Computing a double-ray center for a planar point set

Alex Glozman; Klara Kedem; Gregory Shpitalnik

doi:10.1142/S0218195999000091

Computing a double-ray center for a planar point set

Alex Glozman
, Klara Kedem
, Gregory Shpitalnik

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

A double-ray configuration is a configuration in the plane consisting of two rays emanating from one point. Given a set 5 of n points in the plane, we want to find a double-ray configuration that minimizes the Hausdorff distance from S to this configuration. We call this problem the double-ray center problem. We present an efficient algorithm for computing the double-ray center for set S of n points in the plane which runs in time O(n³α(n) log²n).

Original language	English
Pages (from-to)	109-123
Number of pages	15
Journal	International Journal of Computational Geometry and Applications
Volume	9
Issue number	2
DOIs	https://doi.org/10.1142/S0218195999000091
State	Published - 1 Jan 1999

Keywords

Algorithm
Center
Hausdorff distance
Optimization
Planar point set

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

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10.1142/S0218195999000091

Cite this

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abstract = "A double-ray configuration is a configuration in the plane consisting of two rays emanating from one point. Given a set 5 of n points in the plane, we want to find a double-ray configuration that minimizes the Hausdorff distance from S to this configuration. We call this problem the double-ray center problem. We present an efficient algorithm for computing the double-ray center for set S of n points in the plane which runs in time O(n3α(n) log2n).",

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N2 - A double-ray configuration is a configuration in the plane consisting of two rays emanating from one point. Given a set 5 of n points in the plane, we want to find a double-ray configuration that minimizes the Hausdorff distance from S to this configuration. We call this problem the double-ray center problem. We present an efficient algorithm for computing the double-ray center for set S of n points in the plane which runs in time O(n3α(n) log2n).

AB - A double-ray configuration is a configuration in the plane consisting of two rays emanating from one point. Given a set 5 of n points in the plane, we want to find a double-ray configuration that minimizes the Hausdorff distance from S to this configuration. We call this problem the double-ray center problem. We present an efficient algorithm for computing the double-ray center for set S of n points in the plane which runs in time O(n3α(n) log2n).

KW - Algorithm

KW - Center

KW - Hausdorff distance

KW - Optimization

KW - Planar point set

UR - https://www.scopus.com/pages/publications/0033409991

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DO - 10.1142/S0218195999000091

M3 - Article

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ER -

Computing a double-ray center for a planar point set

Abstract

Keywords

ASJC Scopus subject areas

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