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arXiv · 1509.02627

Rectilinear Convex Hull with minimum area

Carlos Alegría-Galicia·Tzolkin Garduño·Carlos Seara·Areli Rosas-Navarrete·Jorge Urrutia
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Abstract

Let $P$ be a planar set of $n$ points in general position. We consider the problem of computing an orientation of the plane for which the Rectilinear Convex Hull of $P$ has minimum area. Bae et al. (Computational Geometry: Theory and Applications, Vol. 42, 2009) solved the problem in quadratic time and linear space. We describe an algorithm that reduces this time complexity to $Θ(n \log n)$.

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Carlos Alegría-Galicia, Tzolkin Garduño, Carlos Seara, Areli Rosas-Navarrete, Jorge Urrutia. 2017-12-26. Rectilinear Convex Hull with minimum area. https://doi.org/10.1007/978-3-642-34191-5_22

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