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» Terrain Guarding is NP-Hard
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ICCS
2003
Springer
13 years 10 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...
GIS
2007
ACM
14 years 5 months ago
Smugglers and border guards: the GeoStar project at RPI
We present the GeoStar project at RPI, which researches various terrain (i.e., elevation) representations and operations thereon. This work is motivated by the large amounts of hi...
W. Randolph Franklin, Metin Inanc, Zhongyi Xie, Da...
APPROX
2009
Springer
131views Algorithms» more  APPROX 2009»
13 years 11 months ago
An Approximation Scheme for Terrain Guarding
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....
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
SODA
2010
ACM
151views Algorithms» more  SODA 2010»
14 years 2 months ago
The Complexity of Guarding Terrains
James King, Erik Krohn