81 citations · 344 across the 24 of their papers we have counts for
3 papers · 1 filter
Fractional Sobolev metrics on spaces of immersions
Martin Bauer, Philipp Harms, Peter W. Michor
We prove that the geodesic equations of all Sobolev metrics of fractional order one and higher on spaces of diffeomorphisms and, more generally, immersions are locally well posed.…
Approximation of Riemannian Distances and Applications to Distance-Based Learning on Manifolds
Philipp Harms, Elodie Maignant, Stefan Schlager
Several important algorithms for machine learning and data analysis use pairwise distances as input. On Riemannian manifolds these distances may be prohibitively costly to compute,…
Inexact elastic shape matching in the square root normal field framework
Martin Bauer, Nicolas Charon, Philipp Harms
This paper puts forth a new formulation and algorithm for the elastic matching problem on unparametrized curves and surfaces. Our approach combines the frameworks of square root no…