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» Guarding galleries and terrains
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IPL
2006
116views more  IPL 2006»
14 years 10 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
71
Voted
CORR
2010
Springer
103views Education» more  CORR 2010»
14 years 10 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»
14 years 10 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»
15 years 3 months ago
Guarding Art Galleries by Guarding Witnesses
Kyung-Yong Chwa, Byung-Cheol Jo, Christian Knauer,...
CORR
2008
Springer
120views Education» more  CORR 2008»
14 years 10 months ago
Guarding curvilinear art galleries with vertex or point guards
Menelaos I. Karavelas, Elias P. Tsigaridas