Shortest path to a segment and quickest visibility queries

• We show how to preprocess a polygonal domain with a xed starting point s in order to answer eciently 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 shortestpath- 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 di erent generalization of shortest-path-to-a-point queries, which may be of independent interest: to report eciently a shortest path from s to a query segment in the domain.

Ämnesord

NATURVETENSKAP  -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences -- Computer Sciences (hsv//eng)

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