Stéphane Mallat

Stéphane Mallat

Stéphane G. Mallat made some fundamental contributions to the development of wavelet theory in the late 1980s and early 1990s. He has also done work in applied mathematics, signal processing, music synthesis and image segmentation.

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. He also developed (with Sifen Zhong) the Wavelet Transform Modulus Maxima Method for image characterization, a method that uses the local maxima of the wavelet coefficients at various scales to reconstruct images.

Mallat is the author of "A Wavelet Tour of Signal Processing" (ISBN 012466606X), a common text in some applied mathematics and engineering courses.

He has taught at New York University, École polytechnique and Tel Aviv University.

References


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Stéphane Mallat — Stéphane Georges Mallat ist ein französischer Elektrotechniker und Mathematiker, der wichtige Beiträge zur Wavelet Transformation leistete. Mallat studierte an der École Polytechnique (Abschluss 1984) und an der École nationale supérieure de… …   Deutsch Wikipedia

  • Stéphane Mallat — Stéphane G. Mallat (né à Paris, France) a contribué d une manière fondamentale au développement de la théorie des ondelettes entre les années 1986 et 1993. Il a travaillé aussi dans les domaines des mathématiques appliquées, du traitement du… …   Wikipédia en Français

  • Mallat — ist der Familienname von: Annukka Mallat (* 1974), finnische Biathletin Stéphane Mallat, französischer Elektrotechniker und Mathematiker Siehe auch: Malat Diese Seite ist eine Begriffsklärung …   Deutsch Wikipedia

  • Stéphane et prénoms voisins — Cette page donne par ordre alphabétique de noms les 700 et quelques pages commençant par Stéphane, ou un prénom similaire, car on dénombre une dizaine d orthographes différentes, pour un prénom qui est essentiellement le même, et avec des noms… …   Wikipédia en Français

  • Mallat — This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. Chibli Mallat, the Lebanese human rights lawyer …   Wikipedia

  • Wavelet — A wavelet is a mathematical function used to divide a given function or continuous time signal into different frequency components and study each component with a resolution that matches its scale. A wavelet transform is the representation of a… …   Wikipedia

  • Multiresolution analysis — A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT). It was… …   Wikipedia

  • Bandelet (computer science) — Bandelets are an orthonormal basis that is adapted to geometric boundaries. Bandelets can be interpreted as a warped wavelet basis. The motivation behind bandelets is to perform a transform on functions defined as smooth functions on smoothly… …   Wikipedia

  • Discrete wavelet transform — An example of the 2D discrete wavelet transform that is used in JPEG2000. The original image is high pass filtered, yielding the three large images, each describing local changes in brightness (details) in the original image. It is then low pass… …   Wikipedia

  • Yves Meyer — (* 19. Juli 1939) ist ein französischer Mathematiker, der sich mit harmonischer Analyse beschäftigt. Meyer studierte an der Ecole Normale Superieure (Abschluss 1960) und war danach zunächst Gymnasiallehrer. Er promovierte 1966 in Straßburg (wobei …   Deutsch Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”