Smoothness Characterization and Stability of Nonlinear and Non-Separable Multi-scale Representations - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2010

Smoothness Characterization and Stability of Nonlinear and Non-Separable Multi-scale Representations

Résumé

The aim of the paper is the construction and the analysis of nonlinear and non-separable multi-scale representations for multivariate functions. The described multi-scale representation is associated with an isotropic dilation matrix. We show that the smoothness of a function can be characterized by the rate of decay of its multi-scale coefficients. We also study the stability of these representations, a key issue in the designing of adaptive algorithms.
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Dates et versions

hal-00472176 , version 1 (09-04-2010)
hal-00472176 , version 2 (20-12-2010)

Identifiants

  • HAL Id : hal-00472176 , version 1

Citer

Sylvain Meignen, Basarab Matei, Anastasia Zakharova. Smoothness Characterization and Stability of Nonlinear and Non-Separable Multi-scale Representations. 2010. ⟨hal-00472176v1⟩
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