Continuous Wavelet Decompositions, Multiresolution, and Contrast Analysis
Duval-Destin, Marc ; Muschietti, Maria Amelia ; Torrésani, Bruno
HAL, hal-01279506 / Harvested from HAL
Text on HAL
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.
Publié le : 1993-07-04
Classification:  Multiresolution analysis,  Wavelets,  Contrast analysis,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-01279506,
     author = {Duval-Destin, Marc and Muschietti, Maria Amelia and Torr\'esani, Bruno},
     title = {Continuous Wavelet Decompositions, Multiresolution, and Contrast Analysis},
     journal = {HAL},
     volume = {1993},
     number = {0},
     year = {1993},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01279506}
}

Duval-Destin, Marc; Muschietti, Maria Amelia; Torrésani, Bruno. Continuous Wavelet Decompositions, Multiresolution, and Contrast Analysis. HAL, Tome 1993 (1993) no. 0, . http://gdmltest.u-ga.fr/item/hal-01279506/