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VigneronAntoine

Vigneron, Antoine
Geometric Algorithms Lab.
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Tight bounds for beacon-based coverage in simple rectilinear polygons

Author(s)
Bae, Sang WonShin, Chan-SuVigneron, Antoine
Issued Date
2019-07
DOI
10.1016/j.comgeo.2019.02.002
URI
https://scholarworks.unist.ac.kr/handle/201301/26576
Fulltext
https://www.sciencedirect.com/science/article/pii/S0925772119300264?via%3Dihub
Citation
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.80, pp.40 - 52
Abstract
We establish tight bounds for beacon-based coverage problems. In particular, we show that ⌊[Formula presented]⌋ beacons are always sufficient and sometimes necessary to cover a simple rectilinear polygon P with n vertices. When P is monotone and rectilinear, we prove that this bound becomes ⌊[Formula presented]⌋. We also present an optimal linear-time algorithm for computing the beacon kernel of P.
Publisher
Elsevier BV
ISSN
0925-7721
Keyword (Author)
Art galleryBeaconAlgorithm

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