Name
Abstract | ||
|---|---|---|
Consider the following illumination problem: given a stage represented by a line segment L 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 (e.g. [12]) 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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1145/1064092.1064144 | Symposium on Computational Geometry |
Keywords | Field | DocType |
energy-aware stage illumination,interesting optimization problem,illumination problem,sufficient amount,light attenuation model,following illumination problem,optimization,fixed lightsource,computational geometry literature,simple problem,convex optimization,classical illumination problem,combinatorial approximation algorithm,art gallery problems,optimization problem,computational geometry,art gallery problem,linear program | Approximation algorithm,Line segment,Discretization,Combinatorics,Computer science,Computational geometry,Illumination problem,Algorithm,Linear programming,Optimization problem,Convex optimization | Journal |
Volume | Issue | ISSN |
18 | 1/2 | 0218-1959 |
ISBN | Citations | PageRank |
1-58113-991-8 | 0 | 0.34 |
References | Authors | |
8 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Friedrich Eisenbrand | 1 | 726 | 53.74 |
| stefan funke | 2 | 706 | 57.45 |
| Andreas Karrenbauer | 3 | 133 | 20.21 |
| Domagoj Matijevic | 4 | 66 | 8.09 |