License: 
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2021.11
URN: urn:nbn:de:0030-drops-154444
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/15444/
Nilsson, Bengt J. ;
Orden, David ;
Palios, Leonidas ;
Seara, Carlos ;
Żyliński, Paweł
Illuminating the x-Axis by α-Floodlights
Abstract
Given a set S of regions with piece-wise linear boundary and a positive angle α < 90°, we consider the problem of computing the locations and orientations of the minimum number of α-floodlights positioned at points in S which suffice to illuminate the entire x-axis. We show that the problem can be solved in O(n log n) time and O(n) space, where n is the number of vertices of the set S.
BibTeX - Entry
@InProceedings{nilsson_et_al:LIPIcs.ISAAC.2021.11,
author = {Nilsson, Bengt J. and Orden, David and Palios, Leonidas and Seara, Carlos and \.{Z}yli\'{n}ski, Pawe{\l}},
title = {{Illuminating the x-Axis by \alpha-Floodlights}},
booktitle = {32nd International Symposium on Algorithms and Computation (ISAAC 2021)},
pages = {11:1--11:12},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-214-3},
ISSN = {1868-8969},
year = {2021},
volume = {212},
editor = {Ahn, Hee-Kap and Sadakane, Kunihiko},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/15444},
URN = {urn:nbn:de:0030-drops-154444},
doi = {10.4230/LIPIcs.ISAAC.2021.11},
annote = {Keywords: Computational Geometry, Visibility, Art Gallery Problems, Floodlights}
}
|
Keywords: |
|
Computational Geometry, Visibility, Art Gallery Problems, Floodlights |
|
Collection: |
|
32nd International Symposium on Algorithms and Computation (ISAAC 2021) |
|
Issue Date: |
|
2021 |
|
Date of publication: |
|
30.11.2021 |
