127 citations · 595 across the 29 of their papers we have counts for
35 papers
FADE: Few-shot/zero-shot Anomaly Detection Engine using Large Vision-Language Model
Yuanwei Li, Elizaveta Ivanova, Martins Bruveris
Automatic image anomaly detection is important for quality inspection in the manufacturing industry. The usual unsupervised anomaly detection approach is to train a model for each…
Reducing Geographic Performance Differential for Face Recognition
Martins Bruveris, Jochem Gietema, Pouria Mortazavian +1
As face recognition algorithms become more accurate and get deployed more widely, it becomes increasingly important to ensure that the algorithms work equally well for everyone. We…
Well-posedness of the EPDiff equation with a pseudo-differential inertia operator
Martin Bauer, Martins Bruveris, Emanuel Cismas +2
In this article we study the class of right-invariant, fractional order Sobolev-type metrics on groups of diffeomorphisms of a compact manifold M. Our main result concerns well-pos…
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 and holomorphic functions that the functional calculus is holomorphic. Using this result we are able to prove that…
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…
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…
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…
Varifold-based matching of curves via Sobolev-type Riemannian metrics
Martins Bauer, Martins Bruveris, Nicolas Charon +1
Second order Sobolev metrics are a useful tool in the shape analysis of curves. In this paper we combine these metrics with varifold-based inexact matching to explore a new strateg…
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…
Fractional Sobolev metrics on spaces of immersed curves
Martin Bauer, Martins Bruveris, Boris Kolev
Motivated by applications in the field of shape analysis, we study reparametrization invariant, fractional order Sobolev-type metrics on the space of smooth regular curves $\operat…
Soliton solutions for the elastic metric on spaces of curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
In this article we investigate a first order reparametrization-invariant Sobolev metric on the space of immersed curves. Motivated by applications in shape analysis where discretiz…
Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold
Martins Bruveris, Peter W. Michor
It is known that on a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive densities that is invariant under the actio…
Moser's theorem on manifolds with corners
Martins Bruveris, Peter W. Michor, Adam Parusinski +1
Moser's theorem (1965) states that the diffeomorphism group of a compact manifold acts transitively on the space of all smooth positive densities with fixed volume. Here we describ…
A Numerical Framework for Sobolev Metrics on the Space of Curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
Statistical shape analysis can be done in a Riemannian framework by endowing the set of shapes with a Riemannian metric. Sobolev metrics of order two and higher on shape spaces of…
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…
Second order elastic metrics on the shape space of curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
Second order Sobolev metrics on the space of regular unparametrized planar curves have several desirable completeness properties not present in lower order metrics, but numerics ar…
Optimal reparametrizations in the square root velocity framework
Martins Bruveris
The square root velocity framework is a method in shape analysis to define a distance between curves and functional data. Identifying two curves if they differ by a reparametrisati…
Curve Matching with Applications in Medical Imaging
Martin Bauer, Martins Bruveris, Philipp Harms +1
In the recent years, Riemannian shape analysis of curves and surfaces has found several applications in medical image analysis. In this paper we present a numerical discretization…
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…
Completeness Properties of Sobolev Metrics on the Space of Curves
Martins Bruveris
We study completeness properties of Sobolev metrics on the space of immersed curves and on the shape space of unparametrized curves. We show that Sobolev metrics of order …
On Completeness of Groups of Diffeomorphisms
Martins Bruveris, François-Xavier Vialard
We study completeness properties of the Sobolev diffeomorphism groups endowed with strong right-invariant Riemannian metrics when the underlying manifold is $…
Geodesic Completeness for Sobolev Metrics on the Space of Immersed Plane Curves
Martins Bruveris, Peter W. Michor, David Mumford
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2…
-transforms for Sobolev -metrics on spaces of plane curves
Martin Bauer, Martins Bruveris, Peter W. Michor
We consider spaces of smooth immersed plane curves (modulo translations and/or rotations), equipped with reparameterization invariant weak Riemannian metrics involving second deriv…