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URN: urn:nbn:de:0030-drops-115211
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Minimum-Width Double-Strip and Parallelogram Annulus

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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.

BibTeX - Entry

@InProceedings{bae:LIPIcs:2019:11521,
  author =	{Sang Won Bae},
  title =	{{Minimum-Width Double-Strip and Parallelogram Annulus}},
  booktitle =	{30th International Symposium on Algorithms and Computation (ISAAC 2019)},
  pages =	{25:1--25:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-130-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{149},
  editor =	{Pinyan Lu and Guochuan Zhang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2019/11521},
  URN =		{urn:nbn:de:0030-drops-115211},
  doi =		{10.4230/LIPIcs.ISAAC.2019.25},
  annote =	{Keywords: geometric covering, parallelogram annulus, two-line center, double-strip}
}

Keywords: geometric covering, parallelogram annulus, two-line center, double-strip
Seminar: 30th International Symposium on Algorithms and Computation (ISAAC 2019)
Issue date: 2019
Date of publication: 28.11.2019


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