LIPIcs.ISAAC.2019.25.pdf
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Minimum-Width Double-Strip and Parallelogram Annulus
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Sang Won Bae 
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30th International Symposium on Algorithms and Computation (ISAAC 2019)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Symposium on Algorithms and Computation (ISAAC) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2019-11-28
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Sang Won Bae. Minimum-Width Double-Strip and Parallelogram Annulus. In 30th International Symposium on Algorithms and Computation (ISAAC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 149, pp. 25:1-25:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
https://doi.org/10.4230/LIPIcs.ISAAC.2019.25
Abstract
In this paper, we study the problem of computing a minimum-width double-strip or parallelogram annulus that encloses a given set of n points in the plane. A double-strip is a closed region in the plane whose boundary consists of four parallel lines and a parallelogram annulus is a closed region between two edge-parallel parallelograms. We present several first algorithms for these problems. Among them are O(n^2) and O(n^3 log n)-time algorithms that compute a minimum-width double-strip and parallelogram annulus, respectively, when their orientations can be freely chosen.
Subject Classification
ACM Subject Classification
- Theory of computation → Computational geometry
Keywords
- geometric covering
- parallelogram annulus
- two-line center
- double-strip
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References
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