127 citations · 779 across the 62 of their papers we have counts for
4 papers · 1 filter
Uniqueness of the Fisher-Rao metric on the space of smooth densities
Martin Bauer, Martins Bruveris, Peter W. Michor
On a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive probability densities, that is invariant under the action of…
Local and Global Well-posedness of the fractional order EPDiff equation on
Martin Bauer, Joachim Escher, Boris Kolev
Of concern is the study of fractional order Sobolev--type metrics on the group of -diffeomorphism of and on its Sobolev completions $\mathcal{D}^{q}(\m…
Optical Flow on Moving Manifolds
Martin Bauer, Markus Grasmair, Clemens Kirisits
Optical flow is a powerful tool for the study and analysis of motion in a sequence of images. In this article we study a Horn-Schunck type spatio-temporal regularization functional…
Metrics on Spaces of Immersions where Horizontality Equals Normality
Martin Bauer, Philipp Harms
We study metrics on shape space of immersions that have a particularly simple horizontal bundle. More specifically, we consider reparametrization invariant Sobolev metrics on t…