We investigate the interpolation of image time series using the metamorphosis model of a manifold of images. Based on a variational time discretization, discrete geodesic paths in this space of images are computed. The space discretization is based on finite elements spanned by tensor product cubic B-splines. An efficient implementation is obtained by utilizing a proper combination of GPU and CPU computation. Numerical results of the approach on optical coherence tomography image series are shown.

This presentation is part of Minisymposium “MS28 - Diffeomorphic Image Registration: Numerics, Applications, and Theory (2 parts)”
organized by: Andreas Mang (Department of Mathematics, University of Houston) , George Biros (Institute for Computational Engineering and Sciences, University of Texas at Austin) .

Authors:

Benjamin Berkels (RWTH Aachen University)

Michael Buchner (Institute for Numerical Simulation, University of Bonn)

Alexander Effland (Universität Bonn)

Martin Rumpf (University of Bonn)

Keywords:

computer vision, image registration, inverse problems, nonlinear optimization