Quickhull is Usually Forward Stable

Fuente: arXiv
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Auteurs principaux: Koopman, Thomas, Scholz, Sven-Bodo
Format: Preprint
Publié: 2025
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_version_ 1866917003235688448
author Koopman, Thomas
Scholz, Sven-Bodo
author_facet Koopman, Thomas
Scholz, Sven-Bodo
contents Quickhull is an algorithm for computing the convex hull of points in a plane that performs well in practice, but has poor complexity on adversarial input. In this paper we show the same holds for the numerical stability of Quickhull.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09431
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quickhull is Usually Forward Stable
Koopman, Thomas
Scholz, Sven-Bodo
Computational Geometry
51-08, 65D18
Quickhull is an algorithm for computing the convex hull of points in a plane that performs well in practice, but has poor complexity on adversarial input. In this paper we show the same holds for the numerical stability of Quickhull.
title Quickhull is Usually Forward Stable
topic Computational Geometry
51-08, 65D18
url https://arxiv.org/abs/2510.09431