127 citations · 779 across the 62 of their papers we have counts for
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math.DG2013★ 11 cited
-transforms for Sobolev -metrics on spaces of plane curves
Martin Bauer, Martins Bruveris, Peter W. Michor
We consider spaces of smooth immersed plane curves (modulo translations and/or rotations), equipped with reparameterization invariant weak Riemannian metrics involving second deriv…
math.DG2013★ 127 cited
Overview of the Geometries of Shape Spaces and Diffeomorphism Groups
Martin Bauer, Martins Bruveris, Peter W. Michor
This article provides an overview of various notions of shape spaces, including the space of parametrized and unparametrized curves, the space of immersions, the diffeomorphism gro…