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arXiv · 2510.09431

Quickhull is Usually Forward Stable

Thomas Koopman·Sven-Bodo Scholz
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Abstract

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.

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Thomas Koopman, Sven-Bodo Scholz. 2025-10-10. Quickhull is Usually Forward Stable. https://arxiv.org/abs/2510.09431

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