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» Triangulating and Guarding Realistic Polygons
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CCCG
2008
13 years 6 months ago
Triangulating and Guarding Realistic Polygons
We propose a new model of realistic input: k-guardable objects. An object is k-guardable if its boundary can be seen by k guards in the interior of the object. In this abstract, w...
Greg Aloupis, Prosenjit Bose, Vida Dujmovic, Chris...
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
CIAC
2003
Springer
110views Algorithms» more  CIAC 2003»
13 years 10 months ago
Maximizing the Guarded Boundary of an Art Gallery Is APX-Complete
In the Art Gallery problem, given is a polygonal gallery and the goal is to guard the gallery’s interior or walls with a number of guards that must be placed strategically in the...
Euripides Markou, Stathis Zachos, Christodoulos Fr...