A simple and efficient preprocessing step for convex hull problem

Mohammad Heydari; Ashkan Khalifeh

doi:10.1142/s179383092350091x

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arXiv · 2304.04196

A simple and efficient preprocessing step for convex hull problem

Mohammad Heydari·Ashkan Khalifeh

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Abstract

The present paper is concerned with a recursive algorithm as a preprocessing step to find the convex hull of $n$ random points uniformly distributed in the plane. For such a set of points, it is shown that eliminating all but $O(\log n)$ of points can derive the same convex hull as the input set. Finally it will be shown that the running time of the algorithm is $O(n)

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BibTeX RIS

Mohammad Heydari, Ashkan Khalifeh. 2023-04-09. A simple and efficient preprocessing step for convex hull problem. https://doi.org/10.1142/s179383092350091x

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