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» Approximation Algorithms for Art Gallery Problems in Polygon...
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SMA
2008
ACM
172views Solid Modeling» more  SMA 2008»
13 years 6 months ago
Guarding curvilinear art galleries with edge or mobile guards
In this paper we consider the problem of monitoring an art gallery modeled as a polygon, the edges of which are arcs of curves. We consider two types of guards: edge guards (these...
Menelaos I. Karavelas
IVC
2000
179views more  IVC 2000»
13 years 6 months ago
A system to place observers on a polyhedral terrain in polynomial time
The Art Gallery Problem deals with determining the number of observers necessary to cover an art gallery room such that every point is seen by at least one observer. This problem ...
Maurício Marengoni, Bruce A. Draper, Allen ...
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 6 months ago
Improved Approximation for Guarding Simple Galleries from the Perimeter
We provide an O(log log OPT)-approximation algorithm for the problem of guarding a simple polygon with guards on the perimeter. We first design a polynomial-time algorithm for bui...
James King, David G. Kirkpatrick
ICCS
2003
Springer
13 years 11 months ago
Approximation Algorithms to Minimum Vertex Cover Problems on Polygons and Terrains
We propose an anytime algorithm to compute successively better approximations of the optimum of Minimum Vertex Guard. Though the presentation is focused on polygons, the work may b...
Ana Paula Tomás, António Leslie Baju...
ALENEX
2007
130views Algorithms» more  ALENEX 2007»
13 years 7 months ago
Locating Guards for Visibility Coverage of Polygons
We propose heuristics for visibility coverage of a polygon with the fewest point guards. This optimal coverage problem, often called the “art gallery problem”, is known to be ...
Yoav Amit, Joseph S. B. Mitchell, Eli Packer