Title
Guarding Polygons With Holes For Robot Motion Planning Applications
Abstract
The Art Gallery Problem is aiming at nding the minimum number of guards to cover a gallery. In this paper we consider the problem of covering a gallery with holes. The guards are required to cover a gallery that is represented as a simple polygon with n vertices and h holes. We present a robust and fast algorithm to compute a small number of vertex guards in such polygons, which runs in O (n log n) time and uses O (n) storage. The proposed algorithm is not only offering a better performance in terms of computational cost but also ease in implementation. Simulation results demonstrate the ef ciency, robustness, and potential of the proposed algorithm in motion planning systems.
Year
DOI
Venue
2004
10.1109/ICSMC.2004.1398421
2004 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN & CYBERNETICS, VOLS 1-7
Keywords
Field
DocType
art gallery, polygons with holes, vertex guards, triangulation, 3-coloring principle, motion planning
Motion planning,Art gallery problem,Polygon,Mathematical optimization,Vertex (geometry),Control theory,Computer science,Computational geometry,Algorithm,Robustness (computer science),Simple polygon,Mobile robot
Conference
ISSN
Citations 
PageRank 
1062-922X
1
0.37
References 
Authors
5
2
Name
Order
Citations
PageRank
Ashraf Elnagar111521.22
Leena Lulu2174.11