7 citations · 17 across the 5 of their papers we have counts for
7 papers
Isometric Immersions and the Waving of Flags
Martin Bauer, Jakob Møller-Andersen, Stephen C. Preston
In this article we propose a novel geometric model to study the motion of a physical flag. In our approach a flag is viewed as an isometric immersion from the square with values in…
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…
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…
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…
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…
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…