44 citations · 50 across the 5 of their papers we have counts for
4 papers · 1 filter
Sinkhorn Divergences for Unbalanced Optimal Transport
Thibault Séjourné, Jean Feydy, François-Xavier Vialard +2
Optimal transport induces the Earth Mover's (Wasserstein) distance between probability distributions, a geometric divergence that is relevant to a wide range of problems. Over the…
Multiple Shape Registration using Constrained Optimal Control
Sylvain Arguillère, Emmanuel Trélat, Alain Trouvé +1
Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and…
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…
Shape Splines and Stochastic Shape Evolutions: A Second Order Point of View
Alain Trouvé, François-Xavier Vialard
This article presents a new mathematical framework to perform statistical analysis on time-indexed sequences of 2D or 3D shapes. At the core of this statistical analysis is the tas…