Lower Bound for Convex Hull Area and Universal Cover Problems
Metric Geometry
2015-03-18 v1
Abstract
In this paper, we provide a lower bound for an area of the convex hull of points and a rectangle in a plane. We then apply this estimate to establish a lower bound for a universal cover problem. We showed that a convex universal cover for a unit length curve has area at least 0.232239. In addition, we show that a convex universal cover for a unit closed curve has area at least 0.0879873.
Cite
@article{arxiv.1101.5638,
title = {Lower Bound for Convex Hull Area and Universal Cover Problems},
author = {Tirasan Khandhawit and Dimitrios Pagonakis and Sira Sriswasdi},
journal= {arXiv preprint arXiv:1101.5638},
year = {2015}
}
Comments
12 pages, 9 figures