A Practical Approach for Computing the Diameter of a Point Set

Fuente: arXiv
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Main Author: Har-Peled, Sariel
Format: Preprint
Published: 2025
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author Har-Peled, Sariel
author_facet Har-Peled, Sariel
contents We present an approximation algorithm for computing the diameter of a point-set in $\Re^d$. The new algorithm is sensitive to the ``hardness'' of computing the diameter of the given input, and for most inputs it is able to compute the exact diameter extremely fast. The new algorithm is simple, robust, has good empirical performance, and can be implemented quickly. As such, it seems to be the algorithm of choice in practice for computing/approximating the diameter.
format Preprint
id arxiv_https___arxiv_org_abs_2505_11317
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Practical Approach for Computing the Diameter of a Point Set
Har-Peled, Sariel
Computational Geometry
We present an approximation algorithm for computing the diameter of a point-set in $\Re^d$. The new algorithm is sensitive to the ``hardness'' of computing the diameter of the given input, and for most inputs it is able to compute the exact diameter extremely fast. The new algorithm is simple, robust, has good empirical performance, and can be implemented quickly. As such, it seems to be the algorithm of choice in practice for computing/approximating the diameter.
title A Practical Approach for Computing the Diameter of a Point Set
topic Computational Geometry
url https://arxiv.org/abs/2505.11317