113 citations · 638 across the 37 of their papers we have counts for
4 papers · 1 filter
A geometric Laplace method
Flavien Léger, François-Xavier Vialard
A classical tool for approximating integrals is the Laplace method. The first-order, as well as the higher-order Laplace formula is most often written in coordinates without any ge…
The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view
Thomas Gallouët, François-Xavier Vialard
The group of diffeomorphisms of a compact manifold endowed with the L^2 metric acting on the space of probability densities gives a unifying framework for the incompressible Euler…
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 $…
Diffeomorphic image matching with left-invariant metrics
Tanya Schmah, Laurent Risser, François-Xavier Vialard
The geometric approach to diffeomorphic image registration known as "large deformation by diffeomorphic metric mapping" (LDDMM) is based on a left action of diffeomorphisms on imag…