Title
Simple algorithms for searching a polygon with flashlights
Abstract
The k-searcher is a mobile guard whose visibility is limited to k rays emanating from her position, where the direction of each ray can be changed continuously with bounded angular rotation speed. Given a polygonal region P, is it possible for the k-searcher to eventually see a mobile intruder that is arbitrarily faster than the searcher within P? We present O(n2)-time algorithms for constructing a search schedule of the 1-searcher and the 2-searcher, respectively. Our framework for the 1-searcher can be viewed as a modification of that of LaValle et al. [Proc. 16th ACM Symp. on Computational Geometry, 2000, pp. 260–269] and is naturally extended for the 2-searcher.
Year
DOI
Venue
2002
10.1016/S0020-0190(01)00235-6
Inf. Process. Lett.
Keywords
Field
DocType
simple algorithm,path planning,visibility,computational geometry
Motion planning,Discrete mathematics,Graph,Combinatorics,Visibility,Polygon,Computational geometry,Guard (information security),SIMPLE algorithm,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
81
5
0020-0190
Citations 
PageRank 
References 
13
1.18
9
Authors
3
Name
Order
Citations
PageRank
Jae-Ha Lee114414.19
Sang-Min Park222321.45
Kyung-Yong Chwa391997.10