Continuous Wavelet Decompositions, Multiresolution, and Contrast Analysis

Marc Duval-Destin , Maria Amelia Muschietti (1, 2) , Bruno Torrésani (1)

1 CPT - Centre de Physique Théorique - UMR 6207
2 Departamento de Matemática [La Plata]

A continuous version of multiresolution analysis is described, starting from usual continuous wavelet decompositions. Scale discretization leads to decompositions into functions of arbitrary bandwidth, satisfying QMF-like conditions. Finally, a nonlinear multiresolution scheme is described, providing multiplicative reconstruction formulas.

Mots clés: Contrast analysis; Wavelets; Multiresolution analysis

Domaines: Analyse classique [math.CA]; Physique mathématique [math-ph]

Marc Duval-Destin, Maria Amelia Muschietti, Bruno Torrésani. Continuous Wavelet Decompositions, Multiresolution, and Contrast Analysis. SIAM Journal on Mathematical Analysis, 1993, 24 (3), pp.739-755. ⟨10.1137/0524045⟩. ⟨hal-01279506⟩