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DOI: 10.4230/LIPIcs.SoCG.2017.52
URN: urn:nbn:de:0030-drops-72184
URL: https://drops.dagstuhl.de/opus/volltexte/2017/7218/
Oh, Eunjin ; Ahn, Hee-Kap
Voronoi Diagrams for a Moderate-Sized Point-Set in a Simple Polygon
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Abstract
Given a set of sites in a simple polygon, a geodesic Voronoi diagram partitions the polygon into regions based on distances to sites under the geodesic metric. We present algorithms for computing the geodesic nearest-point, higher-order and farthest-point Voronoi diagrams of m point sites in a simple n-gon, which improve the best known ones for m < n/polylog n. Moreover, the algorithms for the nearest-point and farthest-point Voronoi diagrams are optimal for m < n/polylog n. This partially answers a question posed by Mitchell in the Handbook of Computational Geometry.
BibTeX - Entry
@InProceedings{oh_et_al:LIPIcs:2017:7218,
author = {Eunjin Oh and Hee-Kap Ahn},
title = {{Voronoi Diagrams for a Moderate-Sized Point-Set in a Simple Polygon}},
booktitle = {33rd International Symposium on Computational Geometry (SoCG 2017)},
pages = {52:1--52:15},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-038-5},
ISSN = {1868-8969},
year = {2017},
volume = {77},
editor = {Boris Aronov and Matthew J. Katz},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2017/7218},
URN = {urn:nbn:de:0030-drops-72184},
doi = {10.4230/LIPIcs.SoCG.2017.52},
annote = {Keywords: Simple polygons, Voronoi diagrams, geodesic distance}
}
| Keywords: | Simple polygons, Voronoi diagrams, geodesic distance | |
| Seminar: | 33rd International Symposium on Computational Geometry (SoCG 2017) | |
| Issue date: | 2017 | |
| Date of publication: | 20.06.2017 |
