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 Trouvé and Younes as the metamorphosis model. A robust and effective variational time discretization of geodesics paths will be proposed and a variational scheme for a time discrete exponential map will be 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.

Referent: Prof. Dr. Martin Rumpf, Universität Bonn

Zuvor gibt es ab 16.45 Uhr die Gelegenheit, die Sprecherin oder den Sprecher beim Kolloquiumstee in Raum 580 zu treffen.