SHORTEST PATH TO A SEGMENT AND QUICKEST VISIBILITY QUERIES
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© Esther M. Arkin, Alon Efrat, Christian Knauer, Joseph S. B. Mitchell, Valentin Polishchuk, Günter Rote, Lena Schlipf, Topi Talvitie; licensed under Creative Commons License CC-BY.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.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.Description
31st International Symposium on Computational Geometry (SoCG 2015)Version
Final published versionAdditional Links
http://drops.dagstuhl.de/opus/volltexte/2015/5147/pdf/64.pdfCollections
Except where otherwise noted, this item's license is described as © Esther M. Arkin, Alon Efrat, Christian Knauer, Joseph S. B. Mitchell, Valentin Polishchuk, Günter Rote, Lena Schlipf, Topi Talvitie; licensed under Creative Commons License CC-BY.