COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.80, pp.40 - 52
Abstract
We establish tight bounds for beacon-based coverage problems. In particular, we show that ⌊[Formula presented]⌋ beacons are always sufficient and sometimes necessary to cover a simple rectilinear polygon P with n vertices. When P is monotone and rectilinear, we prove that this bound becomes ⌊[Formula presented]⌋. We also present an optimal linear-time algorithm for computing the beacon kernel of P.