Partial Differential Equations for Zooming, Deinterlacing and Dejittering
We establish a semi-group solution concept for morphological differential equations, such as the mean curvature flow equation. The proposed method consists in generating flows from generalized minimizers of nonconvex energy functionals. We use relaxation and convexification to define generalized minimizers. The main part of this work consists in verification of the solution concept by comparing analytical, rotationally invariant solutions of the mean curvature flow equation and iterative minimizer of a non-convex energy functional.