Computing a segment center for a planar point set

Pankaj K. Agarwal; Alon Efrat; Micha Sharir; Sivan Toledo

doi:10.1006/jagm.1993.1043

Computing a segment center for a planar point set

Pankaj K. Agarwal
, Alon Efrat
, Micha Sharir
, Sivan Toledo

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

19 Scopus citations

Abstract

Given a set S of n points in the plane and a segment e, a center placement of e is a placement (allowing translation and rotation) that minimizes the maximum distance from e to the points of S. We present an algorithm for computing a center placement for S, whose running time is O(n²α(n)log³n), where α(n) is the inverse Ackermann function. The algorithm makes use of the parametric searching technique of Megiddo.

Original language	English (US)
Pages (from-to)	314-323
Number of pages	10
Journal	Journal of Algorithms
Volume	15
Issue number	2
DOIs	https://doi.org/10.1006/jagm.1993.1043
State	Published - Sep 1993
Externally published	Yes

ASJC Scopus subject areas

Control and Optimization
Computational Mathematics
Computational Theory and Mathematics

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10.1006/jagm.1993.1043

Cite this

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title = "Computing a segment center for a planar point set",

abstract = "Given a set S of n points in the plane and a segment e, a center placement of e is a placement (allowing translation and rotation) that minimizes the maximum distance from e to the points of S. We present an algorithm for computing a center placement for S, whose running time is O(n2α(n)log3n), where α(n) is the inverse Ackermann function. The algorithm makes use of the parametric searching technique of Megiddo.",

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T1 - Computing a segment center for a planar point set

AU - Agarwal, Pankaj K.

AU - Efrat, Alon

AU - Sharir, Micha

AU - Toledo, Sivan

PY - 1993/9

Y1 - 1993/9

N2 - Given a set S of n points in the plane and a segment e, a center placement of e is a placement (allowing translation and rotation) that minimizes the maximum distance from e to the points of S. We present an algorithm for computing a center placement for S, whose running time is O(n2α(n)log3n), where α(n) is the inverse Ackermann function. The algorithm makes use of the parametric searching technique of Megiddo.

AB - Given a set S of n points in the plane and a segment e, a center placement of e is a placement (allowing translation and rotation) that minimizes the maximum distance from e to the points of S. We present an algorithm for computing a center placement for S, whose running time is O(n2α(n)log3n), where α(n) is the inverse Ackermann function. The algorithm makes use of the parametric searching technique of Megiddo.

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Computing a segment center for a planar point set

Abstract

ASJC Scopus subject areas

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