Martins Bruveris

activity

20092024

most citedOverview of the Geometries of Shape Spaces and Diffeomorphism Groups

127 citations · 595 across the 29 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.DG2018★ 7 cited

Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics

Martin Bauer, Martins Bruveris, Philipp Harms +1

We show for a certain class of operators $A$ and holomorphic functions $f$ that the functional calculus $A \mapsto f (A)$ is holomorphic. Using this result we are able to prove that…

math.DG2018

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…

math.DG2018★ 1 cited

The $L^{2}$ -metric on $C^{\infty} (M, N)$

Martins Bruveris

Let $M$ , $N$ be finite-dimensional manifolds with $M$ compact. This paper looks at the Riemnannian geometry on the space $C^{\infty} (M, N)$ of smooth maps equipped with the $L^{2}$ -Riem…

math.DG2018

A relaxed approach for curve matching with elastic metrics

Martin Bauer, Martins Bruveris, Nicolas Charon +1

In this paper we study a class of Riemannian metrics on the space of unparametrized curves and develop a method to compute geodesics with given boundary conditions. It extends prev…

Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics

Riemannian geometry for shape analysis and computational anatomy

The L2-metric on C∞(M,N)

A relaxed approach for curve matching with elastic metrics

The $L^{2}$ -metric on $C^{\infty} (M, N)$