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CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 7 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 11 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 4 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 6 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 8 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