Abstract: Solutions of scalar elliptic or parabolic boundary value problems satisfy under certain conditions maximum principles. These principles reflect important properties of the solution of the physical process that is modeled with the boundary value problem. In many applications, it is essential that also numerical approximations to this solution possess these properties. The mathematical formulation of this feature […]
Abstract: In this overview talk, we address certain concepts of motion and deformation between image frames. In particular, we are interested in optical flow, optimal transport, metamorphosis and large diffeomorphic metric mappings. While optical flow aims to find a motion field between images based on a gray-value constancy assumption by minimizing a cost function which is often convex […]
