50 citations · 330 across the 31 of their papers we have counts for
6 papers · 1 filter
Stochastic Image Deformation in Frequency Domain and Parameter Estimation using Moment Evolutions
Line Kühnel, Alexis Arnaudon, Tom Fletcher +1
Modelling deformation of anatomical objects observed in medical images can help describe disease progression patterns and variations in anatomy across populations. We apply a stoch…
Engineering solitons and breathers in a deformed ferromagnet: Effect of localised inhomogeneities
Manickam Saravanan, Alexis Arnaudon
We investigate the soliton dynamics of the electromagnetic wave propagating in an inhomogeneous or deformed ferromagnet. The dynamics of magnetization and the propagation of electr…
String Methods for Stochastic Image and Shape Matching
Alexis Arnaudon, Darryl Holm, Stefan Sommer
Matching of images and analysis of shape differences is traditionally pursued by energy minimization of paths of deformations acting to match the shape objects. In the Large Deform…
Networks of Coadjoint Orbits: from Geometric to Statistical Mechanics
Alexis Arnaudon, So Takao
A class of network models with symmetry group that evolve as a Lie-Poisson system is derived from the framework of geometric mechanics, which generalises the classical Heisenbe…
Structure preserving noise and dissipation in the Toda lattice
Alexis Arnaudon
In this paper, we use Flaschka's change of variables of the open Toda lattice and its interpretation in term of the group structure of the LU factorisation as a coadjoint motion on…
Contractions of group representations via geometric quantisation
Rauan Akylzhanov, Alexis Arnaudon
We propose a general framework to contract unitary dual of Lie groups via holomorphic quantization of their co-adjoint orbits. The sufficient condition for the contractability of a…