87 citations · 877 across the 97 of their papers we have counts for
6 papers · 1 filter
Invariant higher-order variational problems
F. Gay-Balmaz, D. D. Holm, D. M. Meier +2
We investigate higher-order geometric -splines for template matching on Lie groups. This is motivated by the need to apply diffeomorphic template matching to a series of images,…
Exact geometric theory of dendronized polymer dynamics
François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze +1
Dendronized polymers consist of an elastic backbone with a set of iterated branch structures (dendrimers)attached at every base point of the backbone. The conformations of such mol…
The momentum map representation of images
M. Bruveris, F. Gay-Balmaz, D. D. Holm +1
This paper discusses the mathematical framework for designing methods of large deformation matching (LDM) for image registration in computational anatomy. After reviewing the geome…
Geometric dynamics of optimization
F. Gay-Balmaz, D. D. Holm, T. S. Ratiu
This paper investigates a family of dynamical systems arising from an evolutionary re-interpretation of certain optimal control and optimization problems. We focus particularly on…
Lagrange-Poincare field equations
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +1
The Lagrange-Poincare equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/re…
Variational principles for spin systems and the Kirchhoff rod
F. Gay-Balmaz, D. D. Holm, T. S. Ratiu
We obtain the affine Euler-Poincaré equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These results are illustrated in…