Continuous Wavelet Decompositions, Multiresolution, and Contrast Analysis
- 1 May 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 24 (3), 739-755
- https://doi.org/10.1137/0524045
Abstract
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.Keywords
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