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math.NA2012★ 1 cited
Discrete geodesic calculus in the space of viscous fluidic objects
Martin Rumpf, Benedikt Wirth
Based on a local approximation of the Riemannian distance on a manifold by a computationally cheap dissimilarity measure, a time discrete geodesic calculus is developed, and applic…
math.NA2012★ 3 cited
Variational time discretization of geodesic calculus
Martin Rumpf, Benedikt Wirth
We analyze a variational time discretization of geodesic calculus on finite- and certain classes of infinite-dimensional Riemannian manifolds. We investigate the fundamental proper…