10 citations · 18 across the 11 of their papers we have counts for
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math.OC2014★ 10 cited
Sub-Riemannian structures on groups of diffeomorphisms
Sylvain Arguillere, Emmanuel Trélat
In this paper, we define and study strong right-invariant sub-Riemannian structures on the group of diffeomorphisms of a manifold with bounded geometry. We derive the Hamiltonian g…
math.OC2014
Shape deformation analysis from the optimal control viewpoint
Sylvain Arguillere, Emmanuel Trélat, Alain Trouvé +1
A crucial problem in shape deformation analysis is to determine a deformation of a given shape into another one, which is optimal for a certain cost. It has a number of application…