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Minimum-Width Double-Strip and Parallelogram Annulus

Author Sang Won Bae

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ACM Subject Classification
  • Theory of computation → Computational geometry
Keywords
  • geometric covering
  • parallelogram annulus
  • two-line center
  • double-strip

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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.

Cite As Get BibTex

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

Author Details

Sang Won Bae
  • Division of Computer Science and Engineering, Kyonggi University, Suwon, Korea

Funding

  • Bae, Sang Won: Supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2018R1D1A1B07042755).

References

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