113 citations · 638 across the 37 of their papers we have counts for
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math.OC2011★ 41 cited
Invariant higher-order variational problems II
François Gay-Balmaz, Darryl D. Holm, David M. Meier +2
Motivated by applications in computational anatomy, we consider a second-order problem in the calculus of variations on object manifolds that are acted upon by Lie groups of smooth…
math.NA2011★ 26 cited
Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups
Martins Bruveris, Laurent Risser, François-Xavier Vialard
In the framework of large deformation diffeomorphic metric mapping (LDDMM), we develop a multi-scale theory for the diffeomorphism group based on previous works. The purpose of the…