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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
|