113 citations · 638 across the 37 of their papers we have counts for
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math.DG2014
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 $…
math.OC2014★ 4 cited
Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics
G. Nardi, G. Peyré, F. -X. Vialard
This paper studies the space of planar curves endowed with the Finsler metric over its tangent space of displacement vector fields. Such a space is of interest for ap…
math.DG2014
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…