@article{thesis,title={Right-invariant sub-Riemannian geometry in the Banach setting and applications to large deformations models in shape
analysis},author={Pierron, Thomas},year={2025},}
preprint
Decoupling actions of finite-dimensional Lie groups and of groups of diffeomorphisms in the large deformation framework
@article{Decoupling,title={Decoupling actions of finite-dimensional Lie groups and of groups of diffeomorphisms in the large deformation framework},author={Mouhli, Rayane and Pierron, Thomas},year={2025},journal={Under review},}
2024
preprint
A right-invariant sub-Riemannian setting for Large deformation models
@article{subHalfLie,title={A right-invariant sub-Riemannian setting for Large deformation models},author={Pierron, Thomas},year={2024},journal={Under review},}
preprint
The graded group action framework for sub-riemannian orbit models in shape spaces
@article{GGAmodels,title={The graded group action framework for sub-riemannian orbit models in shape spaces},author={Pierron, Thomas and Trouv{\'e}, Alain},year={2024},journal={Under review},}
JNS
Elastic metrics on spaces of euclidean curves: Theory and algorithms
Bauer Martin, Nicolas Charon, Eric Klassen, and 3 more authors
@article{Elastic_metrics,title={Elastic metrics on spaces of euclidean curves: Theory and algorithms},author={Martin, Bauer and Charon, Nicolas and Klassen, Eric and Kurtek, Sebastian and Needham, Tom and Pierron, Thomas},year={2024},journal={Journal of Nonlinear Science},}
AGAG
On length measures of planar closed curves and the comparison of convex shapes
@article{planar_closed_shapes,title={On length measures of planar closed curves and the comparison of convex shapes},author={Charon, Nicolas and Pierron, Thomas},year={2024},journal={Annals of Global Analysis and Geometry},}