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Rectilinear convex hull with minimum area. (English) Zbl 1374.68632
Márquez, Alberto (ed.) et al., Computational geometry. XIV Spanish meeting on computational geometry, EGC 2011, dedicated to Ferran Hurtado on the occasion of his 60th birthday, Alcalá de Henares, Spain, June 27–30, 2011. Revised selected papers. Berlin: Springer (ISBN 978-3-642-34190-8/pbk). Lecture Notes in Computer Science 7579, 226-235 (2012).
Summary: Let \(P\) be a set of \(n\) points in the plane. We solve the problem of computing an orientation of the plane for which the rectilinear convex hull of \(P\) has minimum area in optimal \(\Theta (n\log n)\) time and \(O(n)\) space.
For the entire collection see [Zbl 1253.68016].

68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
68Q25 Analysis of algorithms and problem complexity
Full Text: DOI
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