6 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
Riemannian geometry for shape analysis and computational anatomy
Martins Bruveris
Shape analysis and compuational anatomy both make use of sophisticated tools from infinite-dimensional differential manifolds and Riemannian geometry on spaces of functions. While…
The -metric on
Martins Bruveris
Let , be finite-dimensional manifolds with compact. This paper looks at the Riemnannian geometry on the space of smooth maps equipped with the -Riem…
Riemannian geometry on spaces of submanifolds induced by the diffeomorphism group
Martins Bruveris
The space of embedded submanifolds plays an important role in applications such as computational anatomy and shape analysis. We can define two different classes on Riemannian metri…
Completeness of Length-Weighted Sobolev Metrics on the Space of Curves
Martins Bruveris, Jakob Møller-Andersen
In this article we prove completeness results for Sobolev metrics with nonconstant coefficients on the space of immersed curves and on the space of unparametrized curves. We provid…
Regularity of Maps between Sobolev Spaces
Martins Bruveris
Let be a -map between Sobolev spaces, either on or on a compact manifold. We show that equivariance of under the diffeomorphism group allow…