Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, October 09, 2007, 12:15 pm

**Duration**: This information is not available in the database

**Location**: OAT S15/S16/S17

**Speaker**: Yves Brise

We consider a collection of $n$ disjoint disks in $\mathbb{R}^1$ or $\mathbb{R}^2$. We are interested in the so called autocorrelation of this collection, which is the intersection area of the disks with a copy of themselves, if we translate the copy by a vector $t$. Obviously, the autocorrelation is a function in $t$. The concept of autocorrelation has applications mainly in interferometry and signal processing.

The general optimization problem that we are investigating, consists of resizing the disks in such a way that the autocorrelation function is always greater than a given threshold $\mu$, for a given range of $t$. The measure of optimality is just the sum of the radii of the disks, which we want to minimize.

In this talk, I present polynomial time algorithms for some simplified variants of the above problem, and I will discuss some (partial) results about the hardness of the general problem.

Joint work with Bernd Gärtner, Trung Nguyen.

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