Weitere Informationen zum ausgewählten Kolloquiumsvortrag:

Discrete Geodesic Paths in the Space of Images

Prof. Martin Rumpf, Uni. Bonn

Donnerstag, 2017-06-29 17:00Uhr

The space of images will be considered as a Riemannian manifold, where the underlying Riemannian metric simultaneously measures the cost of image transport and intensity variation, introduced by Trouv{\’e} and Younes as the metamorphosis model. A robust and effective variational time discretization of geodesics paths will proposed and a variational scheme for a time discrete exponential map will investigated. The approach requires the definition of a discrete path energy consisting of a sum of consecutive image matching functionals over a set of image intensity maps and pairwise matching deformations. The talk will present existence and convergence results and discuss applications in image morphing and image animation.