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CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 5 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
WADS
2009
Springer
274views Algorithms» more  WADS 2009»
13 years 9 months ago
New Results on Visibility in Simple Polygons
We show that (A), 14 points on the boundary of a Jordan curve, and (B), 16 points in convex position encircled by a Jordan curve, cannot be shattered by interior visibility domains...
Alexander Gilbers, Rolf Klein
CCCG
2009
13 years 3 months ago
Wireless Localization with Vertex Guards is NP-hard
We consider a special class of art gallery problems inspired by wireless localization. Given a simple polygon P, place and orient guards each of which broadcasts a unique key with...
Tobias Christ, Michael Hoffmann
IPL
2006
116views more  IPL 2006»
13 years 5 months ago
Guarding galleries and terrains
Let P be a polygon with n vertices. We say that two points of P see each other if the line segment connecting them lies inside (the closure of) P. In this paper we present efficie...
Alon Efrat, Sariel Har-Peled
ALENEX
2007
130views Algorithms» more  ALENEX 2007»
13 years 6 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