## Dynamics and geometry from high dimensional data

### A convex representation for curvature-dependent contour energies

Antonin Chambolle

Ecole Polytechnique, CNRS

Abstract:

We introduce (in collaboration with T. Pock, TU Graz, Austria) a convex representation for curvature-dependent energies typically used in image inpainting problems or contour completion, such as the elastica. We show that this representation is computationally tractable and "tight" for simple curves.