Stéphane Mallat

Stéphane Mallat Georges is a French electrical engineer and mathematician who made ​​important contributions to wavelet transform.

Mallat studied at the École Polytechnique ( completion 1984) and the École nationale supérieure de Telecommunications ( completion 1985) in Paris. In 1988 he received his doctorate in electrical engineering at the University of Pennsylvania Ruzena Bajcsy at ( Multiresoluton representations and wavelets ). In 1988 he was Assistant Professor at the Courant Institute of Mathematical Sciences of New York University, where he is a professor today. He is also a professor at the École Polytechnique.

Mallat developed with Yves Meyer in the late 1980s, the multi-scale approximation ( MSA) or multi- resolution analysis (MRA ) of wavelets this for engineering applications, for example in signal processing available made ​​of and behind the Fast Wavelet Transform ( FWT ) is. With Sifen Zhong he developed a wavelet method in image processing ( wavelet transform modulus maxima method), and he also developed wavelet applications in computer graphics. He also wrote a popular textbook on wavelets.

In 1998 he gave a plenary lecture at the International Congress of Mathematicians (ICM ) in Berlin (Applied Mathematics Meets Signal Processing).

Writings

• A wavelet tour of signal processing: the sparse way, Academic Press, 1998, 3rd edition 2009
• A theory of multiresolution signal decomposition: the wavelet representation, IEEE transactions pattern recognition and machine intelligence, Bd.11, 1989, S.674
• Multiresolution approximations and wavelet orthonormal basis of, Transactions AMS, Bd.315, 1989, p.69 -87
• Wavelets for a vision, Proc. IEEE, Bd.84, 1996, S.604