Searching for a mobile intruder in a polygonal region
SIAM Journal on Computing
Computational Geometry: Theory and Applications - Special issue: computational geometry, theory and applications
Characterizing LR-visibility polygons and related problems
Computational Geometry: Theory and Applications
A characterization of polygonal regions searchable from the boundary
IJCCGGT'03 Proceedings of the 2003 Indonesia-Japan joint conference on Combinatorial Geometry and Graph Theory
Online polygon search by a seven-state boundary 1-searcher
IEEE Transactions on Robotics
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We study the surveillance of a polygonal area by a robot, which is equipped with a flashlight and moves along the polygon boundary. Its aim is to illuminate any intruder who can move faster than the moving flashlight beam, trying to avoid detection. We propose an O(n)-time algorithm for testing if it is possible for such a robot to always detect any intruder in a given polygon, where n is the number of vertices of the given polygon. This improves upon the best previous time complexity of O(n log n).