# Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

__Mittagsseminar Talk Information__ | |

**Date and Time**: Tuesday, August 07, 2007, 12:15 pm

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

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

**Speaker**: Trung Nguyễn (INRIA Sophia Antipolis Research Unit, France)

## A disk-covering problem with application in optical interferometry

Given a disk O in the plane called the objective, we want to find n
small disks P_1,...,P_n called the pupils such that $\bigcup_{i,j=1}^n
P_i \ominus P_j \supseteq O$, where $\ominus$ denotes the Minkowski
difference operator, while minimizing the number of pupils, the sum of
the radii or the total area of the pupils. This problem is motivated by
the construction of very large telescopes from several smaller ones by
so-called Optical Aperture Synthesis. I will present exact, approximate
and heuristic solutions to several variations of the problem.

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