Elliptic and Parabolic Equations - Abstract

Kawohl, Bernd

Some equations in mathematical image processing

In my lecture I will present several different approaches to mathematical image processing, all of which lead eventually to degenerate elliptic and parabolic equations. In particular, I will discuss variants of the variational approach of Mumford--Shah, a diffusion approach of Perona and Malik, and a related new type of parabolic equation that shows up in the modeling of stochastic games.