2 citations · 2 across the 5 of their papers we have counts for
5 papers
A Framework for Joint Affine and Diffeomorphic Image Registration
Anton François, Rayane Mouhli, Thomas Pierron
Anatomical image registration commonly relies on a sequential pipeline where an affine alignment is estimated first and then held fixed while a non-rigid diffeomorphic deformation…
Decoupling actions of finite-dimensional Lie groups and of groups of diffeomorphisms in the large deformation framework
Rayane Mouhli, Thomas Pierron
In computational anatomy, the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework has become a central tool for modeling smooth, invertible transformations between sha…
The graded group action framework for sub-riemannian orbit models in shape spaces
Thomas Pierron, Alain Trouvé
In the standard orbit model on shape analysis, a group of diffeomorphism on the ambient space equipped with a right invariant sub-riemannian metric acts on a space of shapes and in…
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms
Martin Bauer, Nicolas Charon, Eric Klassen +3
A main goal in the field of statistical shape analysis is to define computable and informative metrics on spaces of immersed manifolds, such as the space of curves in a Euclidean s…
On length measures of planar closed curves and the comparison of convex shapes
Nicolas Charon, Thomas Pierron
In this paper, we revisit the notion of length measures associated to planar closed curves. These are a special case of area measures of hypersurfaces which were introduced early o…