Title
Visibility-Based Pursuit-Evasion in a Polygonal Region by a Searcher
Abstract
We consider the most basic visibility-based pursuit-evasion problem defined as follows: Given a polygonal region, a searcher with 360° vision, and an unpredictable intruder that is arbitrarily faster than the searcher, plan the motion of the searcher so as to see the intruder. In this paper, we present simple necessary and sufficient conditions for a polygon to be searchable, which settles a decade-old open problem raised in [13]. We also show that every searchable polygon is also searchable by a searcher with two flashlights (that is, two ray visions). This implies, combined with the previous work [7], that there is an O(n2)-time algorithm for constructing a search path for an n-sided polygon.
Year
DOI
Venue
2001
10.1007/3-540-48224-5_38
international colloquium on automata, languages and programming
Keywords
Field
DocType
sufficient condition,n-sided polygon,search path,ray vision,polygonal region,unpredictable intruder,visibility-based pursuit-evasion,previous work,basic visibility-based pursuit-evasion problem,decade-old open problem,searchable polygon
Computer vision,Visibility,Polygon,Pursuit-evasion,Artificial intelligence,Geography,Cartography
Conference
Volume
ISSN
ISBN
2076
0302-9743
3-540-42287-0
Citations 
PageRank 
References 
20
1.30
9
Authors
3
Name
Order
Citations
PageRank
Sang-Min Park122321.45
Jae-Ha Lee214414.19
Kyung-Yong Chwa391997.10