Stéphane Mallat, "A wavelet tour of signal processing" 2nd Edition, Academic Press, 1999, ISBN 0-12-466606-X
Orthogonal wavelets -- the Haar wavelets and related Daubechies wavelets, Coiflets, and some developed by Mallat, are generated by scaling functions which, with the wavelet, satisfy a quadrature mirror filter relationship.
Specifically, he collaborated with Yves Meyer to develop the Multiresolution Analysis (MRA) construction for compactly supported wavelets, which made the implementation of wavelets practical for engineering applications by demonstrating the equivalence of wavelet bases and conjugate mirror filters used in discrete, multirate filter banks in signal processing.
In 2000, a paper about the texture gradient equation, wavelets, and shape from texture was released by Maureen Clerc and Stéphane Mallat.
Stéphane Grappelli | Stéphane Dion | Stéphane Mallarmé | Stephane Grappelli | Stéphane Lambiel | Stéphane Sednaoui | Stéphane Rousseau | Stéphane Mallat | Stéphane Denève | Stéphane Van Der Heyden | Stéphane Rotenberg | Stephane Rolland | Stéphane Lannoy | Stéphane Houdet | Stéphane Courtois | Stéphane Boudin | John Creamer & Stephane K | Stéphane Yelle | Stéphane Venne | Stéphane Rolland | Stéphane Pompougnac | Stéphane Plaza | Stéphane Peterhansel | Stephane Mallat | Stéphane Le Foll | Stéphane Henchoz | Stéphane Gillet | Stéphane Demets | Stéphane Da Costa | Stéphane Bern |
It was introduced in this context in 1988/89 by Stephane Mallat and Yves Meyer and has predecessors in the microlocal analysis in the theory of differential equations (the ironing method) and the pyramid methods of image processing as introduced in 1981/83 by Peter J. Burt, Edward H. Adelson and James Crowley.