Title
Computing Vision Points in Polygons
Abstract
We consider a restricted version of the art gallery problem within simple polygons in whichthe guards are required to lie on a given one-dimensional object, a watchman route. We callthis problem the vision point problem. We prove the following.ffl The original art gallery problem is NP-hard for the very restricted class of street polygons.ffl The vision point problem can be solved eOEciently for the class of street polygons.ffl A linear time algorithm for the vision point problem exists ...
Year
DOI
Venue
1999
10.1007/PL00009271
Algorithmica
Keywords
Field
DocType
Key words. Computational geometry,Algorithms,Art gallery problems.
Discrete mathematics,Art gallery problem,Combinatorics,Polygon,Polygon (computer graphics),Computational geometry,Mathematics
Journal
Volume
Issue
ISSN
24
1
0178-4617
Citations 
PageRank 
References 
7
0.49
16
Authors
2
Name
Order
Citations
PageRank
Svante Carlsson176490.17
Bengt J. Nilsson221024.43