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Event Entry

What and Who

Energy-Aware Stage Illumination

Domagoj Matijevic
Max-Planck-Institut für Informatik - AG 1
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Wednesday, 25 May 2005
13:30
30 Minutes
46.1 - MPII
024
Saarbrücken

Abstract

Consider the following illumination problem: given a stage represented by a line segment and a set of lightsources represented by a set of points 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 examine 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.

Contact

Domagoj Matijevic
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Tags, Category, Keywords and additional notes

illumination problem; art gallery; optimization

Domagoj Matijevic, 04/28/2005 11:37
Domagoj Matijevic, 04/27/2005 16:45 -- Created document.