Mixture of Kernels and Iterated Semi-Direct Product of Diffeomorphism Groups

Vialard, François-Xavier; Risser, Laurent; Bruveris, Martins

Vialard, François-Xavier; Risser, Laurent; Bruveris, Martins (2012), Mixture of Kernels and Iterated Semi-Direct Product of Diffeomorphism Groups, Multiscale Modeling & Simulation, 10, 4, p. 1344-1368. http://dx.doi.org/10.1137/110846324

Type

Article accepté pour publication ou publié

External document link

http://arxiv.org/abs/1108.2472v1

Date

2012

Journal name

Multiscale Modeling & Simulation

Volume

Number

Publisher

SIAM

Pages

1344-1368

Abstract (EN)

We develop a multi-scale theory for group of diffeomorphisms based on previous works. The purpose of the paper is (1) to prove in details a variational approach for multiscale on diffeomorphisms, (2) to generalize to several scales the semidirect product of group representation and (3) to illustrate the resulting diffeomorphic decomposition on synthetic and real images.

Subjects / Keywords

group of diffeomorphisms; multiscale; mixture of kernels; semidirect product of groups