## Shot-noise random fields: some geometric properties and some applications for images

Agnès Desolneux

École normale supérieure de Cachan; Member, School of Mathematics

November 10, 2014

Shot-noise random fields can model a lot of different phenomena that can be described as the additive contributions of randomly distributed points. In the first part of the talk, I will give some properties of these random fields. And in a second part, I will discuss an application to images with the texture synthesis problem. The talk is intended for a wide mathematical audience: I will recall the needed notions of probability and show a lot of illustrations.