Nonlinear Cell-Average Multiscale Signal Representations: Application to Signal Denoising

Basarab Matei (1) , Sylvain Meignen (2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

In this paper, we present a new class of nonlinear cell-average multiscale signal representations. After having introduced the general multiscale framework, we recall convergence and stability results for such multiscale representations and then build a particular example which appears to be relevant for piecewise smooth functions denoising.

Mots clés: Nonlinear multiscale representations; Convergence; Stability; Denoising

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Basarab Matei, Sylvain Meignen. Nonlinear Cell-Average Multiscale Signal Representations: Application to Signal Denoising. Signal Processing, 2012, 92 (11), pp.2738-2746. ⟨10.1016/j.sigpro.2012.05.005⟩. ⟨hal-00864349⟩