Nonlinear and non-separable multiscale representations based on Lipschitz perturbation

Cédric Gérot (1) , Basarab Matei (2) , Sylvain Meignen (3)

1 GIPSA-AGPIG - GIPSA - Architecture, Géométrie, Perception, Images, Gestes
2 LAGA - Laboratoire Analyse, Géométrie et Applications
3 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

In this Note, we present a new formalism for nonlinear and non-separable multiscale representations. The new formalism we propose brings about similarities between existing nonlinear multiscale representations and also allows us to alleviate the classical hypotheses made to prove the convergence of the multiscale representations.

Domaines: Analyse numérique [math.NA]

Cédric Gérot, Basarab Matei, Sylvain Meignen. Nonlinear and non-separable multiscale representations based on Lipschitz perturbation. Comptes Rendus. Mathématique, 2011, 349 (13-14), pp.741-744. ⟨10.1016/j.crma.2011.06.015⟩. ⟨hal-00647298⟩