A simple and efficient preprocessing step for convex hull problem

04/09/2023

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by   Mohammad Heydari, et al.

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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)