English

A simple and efficient preprocessing step for convex hull problem

Data Structures and Algorithms 2024-03-19 v1

Abstract

The present paper is concerned with a recursive algorithm as a preprocessing step to find the convex hull of nn random points uniformly distributed in the plane. For such a set of points, it is shown that eliminating all but O(logn)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)

Keywords

Cite

@article{arxiv.2304.04196,
  title  = {A simple and efficient preprocessing step for convex hull problem},
  author = {Mohammad Heydari and Ashkan Khalifeh},
  journal= {arXiv preprint arXiv:2304.04196},
  year   = {2024}
}