| Publication | Date of Publication | Type |
|---|
| Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric | 2024-03-27 | Paper |
| The \(L^p\)-Fisher-Rao metric and Amari-Čencov \(\alpha\)-connections | 2024-02-14 | Paper |
| Geometric Analysis of the Generalized Surface Quasi-Geostrophic Equations | 2023-12-07 | Paper |
| Basis restricted elastic shape analysis on the space of unregistered surfaces | 2023-11-07 | Paper |
| Correction to: ``A geometric view on the generalized Proudman-Johnson and \(r\)-Hunter-Saxton equations | 2023-08-09 | Paper |
| Liouville comparison theory for blowup of Euler-Arnold equations | 2023-06-16 | Paper |
| Regularity and completeness of half-Lie groups | 2023-02-03 | Paper |
| Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms | 2022-09-20 | Paper |
| The square root normal field distance and unbalanced optimal transport | 2022-05-16 | Paper |
| A New Variational Model for Shape Graph Registration with Partial Matching Constraints | 2022-04-07 | Paper |
| A geometric view on the generalized Proudman-Johnson and \(r\)-Hunter-Saxton equations | 2022-02-03 | Paper |
| Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics | 2022-01-31 | Paper |
| A numerical framework for elastic surface matching, comparison, and interpolation | 2021-12-02 | Paper |
| A diffeomorphism-invariant metric on the space of vector-valued one-forms | 2021-05-12 | Paper |
| Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics | 2021-02-19 | Paper |
| Shape analysis of surfaces using general elastic metrics | 2020-12-29 | Paper |
| Diffeomorphic density registration | 2020-11-12 | Paper |
| Geodesic completeness of the \(H^{3/2}\) metric on \(\text{Diff}(S^1)\) | 2020-09-01 | Paper |
| Metric registration of curves and surfaces using optimal control | 2020-07-10 | Paper |
| A relaxed approach for curve matching with elastic metrics | 2020-04-29 | Paper |
| Well-posedness of the EPDiff equation with a pseudo-differential inertia operator | 2020-04-08 | Paper |
| Fractional Sobolev metrics on spaces of immersions | 2020-04-07 | Paper |
| Semi-invariant Riemannian metrics in hydrodynamics | 2020-04-07 | Paper |
| Intrinsic Riemannian metrics on spaces of curves: theory and computation | 2020-03-11 | Paper |
| Inexact elastic shape matching in the square root normal field framework | 2020-03-10 | Paper |
| Vanishing distance phenomena and the geometric approach to SQG | 2020-02-20 | Paper |
| An inexact matching approach for the comparison of plane curves with general elastic metrics | 2020-01-09 | Paper |
| Isometric Immersions and the Waving of Flags | 2019-05-15 | Paper |
| Math in the Black Forest: Workshop on New Directions in Shape Analysis | 2018-11-04 | Paper |
| Soliton solutions for the elastic metric on spaces of curves | 2018-08-16 | Paper |
| Comparing curves in homogeneous spaces | 2018-08-07 | Paper |
| Fractional Sobolev metrics on spaces of immersed curves | 2018-03-01 | Paper |
| Diffeomorphic random sampling using optimal information transport | 2018-01-12 | Paper |
| On geodesic completeness for Riemannian metrics on smooth probability densities | 2017-09-26 | Paper |
| Landmark-guided elastic shape analysis of human character motions | 2017-07-12 | Paper |
| The Square Root Velocity Framework for Curves in a Homogeneous Space | 2017-06-09 | Paper |
| A Numerical Framework for Sobolev Metrics on the Space of Curves | 2017-06-02 | Paper |
| Uniqueness of the Fisher–Rao metric on the space of smooth densities | 2016-06-10 | Paper |
| Why Use Sobolev Metrics on the Space of Curves | 2016-05-19 | Paper |
| Why Use Sobolev Metrics on the Space of Curves | 2015-12-16 | Paper |
| Geometric investigations of a vorticity model equation | 2015-11-04 | Paper |
| Diffeomorphic Density Matching by Optimal Information Transport | 2015-10-13 | Paper |
| Metrics on spaces of immersions where horizontality equals normality | 2015-08-27 | Paper |
| Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration | 2015-08-11 | Paper |
| Second order elastic metrics on the shape space of curves | 2015-07-31 | Paper |
| Curve Matching with Applications in Medical Imaging | 2015-06-29 | Paper |
| Optical Flow on Moving Manifolds | 2015-05-15 | Paper |
| \(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves | 2015-04-09 | Paper |
| Local and global well-posedness of the fractional order EPDiff equation on \(\mathbb{R}^d\) | 2015-02-06 | Paper |
| Overview of the geometries of shape spaces and diffeomorphism groups | 2015-01-28 | Paper |
| Homogeneous Sobolev metric of order one on diffeomorphism groups on real line | 2015-01-07 | Paper |
| Constructing reparameterization invariant metrics on spaces of plane curves | 2014-06-10 | Paper |
| Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II | 2014-02-03 | Paper |
| Sobolev metrics on the manifold of all Riemannian metrics | 2013-07-11 | Paper |
| Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group | 2013-06-26 | Paper |
| Local uniqueness of the circular integral invariant | 2013-06-12 | Paper |
| Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics | 2013-05-28 | Paper |
| Almost Local Metrics on Shape Space of Hypersurfaces inn-Space | 2012-09-14 | Paper |
| Sobolev metrics on shape space of surfaces | 2012-05-21 | Paper |
| Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation | 2012-03-23 | Paper |
| Curvature weighted metrics on shape space of hypersurfaces in \(n\)-space | 2012-03-08 | Paper |
| A New Riemannian Setting for Surface Registration | 2011-06-03 | Paper |
