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  An algorithm for searching a polygonal region with a flashlight (2000) [14 citations — 2 self]

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by Steven M. Lavalle, Borislav Simov, Giora Slutzki
International Journal of Computational Geometry and Applications
http://janowiec.cs.iastate.edu/~lavalle/papers/ijcga00.ps.gz
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Abstract:

We present an algorithm for a single pursuer with one ashlight that searches for an unpredictable, moving target with unbounded speed in a polygonal environment. The algorithm decides whether a simple polygon with n edges and m concave regions (m is typically much less than n, and always bounded by n) can be cleared by the pursuer, and if so, constructs a search schedule in time O(m 2 + m log n + n). The key ideas in this algorithm include a representation called the \visibility obstruction diagram " and its \skeleton, " which is a combinatorial decomposition based on a number of critical visibility events. An implementation is presented along with a computed example. 1

Citations

78 Ray shooting in polygons using geodesic triangulations – Chazelle, Edelsbrunner, et al. - 1994
77 A pedestrian approach to ray shooting: Shoot a ray, take a walk – Hershberger, Suri - 1995
74 Searching for mobile intruders in a polygonal region by a group of mobile searchers – Yamashita, Umemoto, et al. - 1997
42 Visibility-based pursuit-evasion in a polygonal environment – Guibas, Latombe, et al.
37 The two guards problem – Icking, Klein - 1992
37 Visibility-based pursuit-evasion: the case of curved environments – LaValle, Hinrichsen - 1999
26 Visibility-Based Pursuit-Evasion in a Polygonal Region by a Searcher – Park, Lee, et al. - 1999
24 Sweeping simple polygons with a chain of guards – Efrat, Guibas, et al. - 2000
19 Searching for a mobile intruder in a corridor -- the open edge variant of the polygon search problem – Crass, Suzuki, et al. - 1995
19 Twoguard walkability of simple polygons – Tseng, Heffernan, et al. - 1998
8 An optimal algorithm for the two-guard problem – Heernan - 1996
6 Searching a polygonal room with a door by a 1-searcher – Lee, Park, et al. - 2000