Guarding curvilinear art galleries with vertex or point guards

@article{Karavelas2009GuardingCA,
  title={Guarding curvilinear art galleries with vertex or point guards},
  author={Menelaos I. Karavelas and Elias P. Tsigaridas},
  journal={Comput. Geom.},
  year={2009},
  volume={42},
  pages={522-535}
}
One of the earliest and most well known problems in computational geometry is the so-called art gallery problem. The goal is to compute the minimum possible number guards placed on the vertices of a simple polygon in such a way that they cover the interior of the polygon. In this paper we consider the problem of guarding an art gallery which is modeled as a polygon with curvilinear walls. Our main focus is on polygons the edges of which are convex arcs pointing towards the exterior or interior… CONTINUE READING
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