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» Guarding galleries and terrains
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IPL
2006
116views more  IPL 2006»
13 years 4 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
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
SMA
2008
ACM
172views Solid Modeling» more  SMA 2008»
13 years 4 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
ISAAC
2004
Springer
112views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Guarding Art Galleries by Guarding Witnesses
Kyung-Yong Chwa, Byung-Cheol Jo, Christian Knauer,...
CORR
2008
Springer
120views Education» more  CORR 2008»
13 years 5 months ago
Guarding curvilinear art galleries with vertex or point guards
Menelaos I. Karavelas, Elias P. Tsigaridas