License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SOCG.2015.658
URN: urn:nbn:de:0030-drops-51474
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5147/
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Arkin, Esther M. ; Efrat, Alon ; Knauer, Christian ; Mitchell, Joseph S. B. ; Polishchuk, Valentin ; Rote, Günter ; Schlipf, Lena ; Talvitie, Topi

Shortest Path to a Segment and Quickest Visibility Queries

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Abstract

We show how to preprocess a polygonal domain with a fixed starting point s in order to answer efficiently the following queries: Given a point q, how should one move from s in order to see q as soon as possible? This query resembles the well-known shortest-path-to-a-point query, except that the latter asks for the fastest way to reach q, instead of seeing it. Our solution methods include a data structure for a different generalization of shortest-path-to-a-point queries, which may be of independent interest: to report efficiently a shortest path from s to a query segment in the domain.

BibTeX - Entry

@InProceedings{arkin_et_al:LIPIcs:2015:5147,
  author =	{Esther M. Arkin and Alon Efrat and Christian Knauer and Joseph S. B. Mitchell and Valentin Polishchuk and G{\"u}nter Rote and Lena Schlipf and Topi Talvitie},
  title =	{{Shortest Path to a Segment and Quickest Visibility Queries}},
  booktitle =	{31st International Symposium on Computational Geometry (SoCG 2015)},
  pages =	{658--673},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-83-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{34},
  editor =	{Lars Arge and J{\'a}nos Pach},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5147},
  URN =		{urn:nbn:de:0030-drops-51474},
  doi =		{10.4230/LIPIcs.SOCG.2015.658},
  annote =	{Keywords: path planning, visibility, query structures and complexity, persistent data structures, continuous Dijkstra}
}

Keywords: path planning, visibility, query structures and complexity, persistent data structures, continuous Dijkstra
Collection: 31st International Symposium on Computational Geometry (SoCG 2015)
Issue Date: 2015
Date of publication: 12.06.2015

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