2 citations · 3 across the 4 of their papers we have counts for
4 papers
Universal vector and matrix optimal transport
Boris Khesin, Klas Modin
In this paper we propose a gauge-theoretic approach to the problems of optimal mass transport for vector and matrix densities. This resolves both the issues of positivity and actio…
Geodesic interpretation of the global quasi-geostrophic equations
Klas Modin, Ali Suri
We give an interpretation of the global shallow water quasi-geostrophic equations on the sphere $\Sph^2$ as a geodesic equation on the central extension of the quantomorphism group…
Information geometry of diffeomorphism groups
Boris Khesin, Gerard Misiołek, Klas Modin
The study of diffeomorphism groups and their applications to problems in analysis and geometry has a long history. In geometric hydrodynamics, pioneered by V.~Arnold in the 1960s,…
A Riemanian Approach to Blob Detection in Manifold-Valued Images
Aleksei Shestov, Mikhail Kumskov
This paper is devoted to the problem of blob detection in manifold-valued images. Our solution is based on new definitions of blob response functions. We define the blob response f…