In this talk we will explain the role of nonlinear heat equation methods in image processing, concentrating on the well-known and widely used Perona-Malik equation. We will try to show motivations which lead to this equation, explain its advantages and drawbacks and propose a time-regularized version of it which is well-posed in the analytic sense.

By showing results of numerical experiments we provide evidence for the superiority of this time regularization versus the standard space regularization technique. The talk will be directed towards a non-specialized audience.

All participants are welcome.