— This paper studies the coordinated motion of a group of agents evolving on a Lie group. Left- or rightinvariance with respect to the absolute position on the group lead to two ...
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equations. ...
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equation. ...
We present a method to analyse the variability of the spine shape using rigid transforms. The spine was expressed as a set of rigid transforms that superpose local coordinates sys...
Jonathan Boisvert, Xavier Pennec, Nicholas Ayache,...
The continuous general linear group in n dimensions can be decomposed into two Lie groups: (1) an n(n-1) dimensional ‘Markov type’ Lie group that is defined by preserving the ...