Placing observers to cover a polyhedral terrain in polynomial time

@article{Marengoni1996PlacingOT,
  title={Placing observers to cover a polyhedral terrain in polynomial time},
  author={Maur{\'i}cio Marengoni and Bruce A. Draper and Allen R. Hanson and R. Sitaraman},
  journal={Proceedings Third IEEE Workshop on Applications of Computer Vision. WACV'96},
  year={1996},
  pages={77-82}
}
The Art Gallery Problem is the problem of determining the number of observers necessary to cover an art gallery room such that every point is seen by at least one observer. This problem is well known and has a linear solution for the 2 dimensional case, but little is known in the 3-D case. In this paper we present a polynomial time solution for the 3-D version of the Art Gallery problem. Because the problem is NP-hard, the solution presented is an approximation, and we present the bounds to our… CONTINUE READING

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