Continuous Wavelet Decompositions, Multiresolution, and Contrast Analysis
M. Duval-Destin, M. A. Muschietti, Bruno Torrésani · SIAM Journal on Mathematical Analysis · 1993
A continuous version of multiresolution analysis is described, starting from usual continuous wavelet decompositions. Scale discretization leads to decomposition into functions of arbitrary bandwidth, satisfying QMF-like conditions. Finally, a nonlinear multiresolution scheme is described, providing multiplicative reconstruction formulas.