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arXiv · 1101.5638

Lower Bound for Convex Hull Area and Universal Cover Problems

Tirasan Khandhawit·Dimitrios Pagonakis·Sira Sriswasdi
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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.

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Tirasan Khandhawit, Dimitrios Pagonakis, Sira Sriswasdi. 2011-01-28. Lower Bound for Convex Hull Area and Universal Cover Problems. https://doi.org/10.1142/s0218195913500076

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