Naslov
Energy-Aware Stage Illumination

Autori
Eisenbrand, Friedrich ; Funke, Stefan ; Karrenbauer, Andreas ; Matijević, Domagoj

Izvornik
International Journal of Computational Geometry and Applications (0218-1959) 18 (2008), 2; 107-129

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
guarding; optimization

Sažetak
Consider the following illumination problem: given a stage represented by a line segment $\Stage$ and a set of lightsources represented by a set of points $S$ in the plane, assign powers to the lightsources such that every point on the stage receives a sufficient amount -- let's say one unit -- of light while minimizing the overall power consumption. By assuming that the amount of light arriving from a fixed lightsource decreases rapidly with the distance from the lightsource, this becomes an interesting optimization problem. We propose to reconsider the classical illumination problems as known from computational geometry literature under this light attenuation model. This paper examines the simple problem introduced above and presents different solutions, based on convex optimization, discretization and linear programming, as well as a purely combinatorial approximation algorithm. Some experimental results are also provided.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Računarstvo

POVEZANOST RADA