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- Publications
- Influence
A wavelet tour of signal processing
- S. Mallat
- Mathematics
- 1998
Introduction to a Transient World. Fourier Kingdom. Discrete Revolution. Time Meets Frequency. Frames. Wavelet Zoom. Wavelet Bases. Wavelet Packet and Local Cosine Bases. An Approximation Tour.… Expand
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
- S. Mallat
- Mathematics, Computer Science
- IEEE Trans. Pattern Anal. Mach. Intell.
- 1 July 1989
Multiresolution representations are effective for analyzing the information content of images. The properties of the operator which approximates a signal at a given resolution were studied. It is… Expand
Matching pursuits with time-frequency dictionaries
The authors introduce an algorithm, called matching pursuit, that decomposes any signal into a linear expansion of waveforms that are selected from a redundant dictionary of functions. These… Expand
Characterization of Signals from Multiscale Edges
- S. Mallat, S. Zhong
- Computer Science, Mathematics
- IEEE Trans. Pattern Anal. Mach. Intell.
- 11 August 2011
A multiscale Canny edge detection is equivalent to finding the local maxima of a wavelet transform. The authors study the properties of multiscale edges through the wavelet theory. For pattern… Expand
Singularity detection and processing with wavelets
- S. Mallat, W. L. Hwang
- Mathematics, Computer Science
- IEEE Trans. Inf. Theory
- 1 March 1992
The mathematical characterization of singularities with Lipschitz exponents is reviewed. Theorems that estimate local Lipschitz exponents of functions from the evolution across scales of their… Expand
A Wavelet Tour of Signal Processing - The Sparse Way, 3rd Edition
- S. Mallat
- Computer Science
- 2008
Mallat's book is the undisputed reference in this field - it is the only one that covers the essential material in such breadth and depth. - Laurent Demanet, Stanford University The new edition of… Expand
Multiresolution approximations and wavelet orthonormal bases of L^2(R)
- S. Mallat
- Mathematics
- 1989
A multiresolution approximation is a sequence of embedded vector spaces V j jmember Z for approximating L 2 (R) functions. We study the properties of a multiresolution approximation and prove… Expand
Group Invariant Scattering
- S. Mallat
- Computer Science, Mathematics
- ArXiv
- 11 January 2011
This paper constructs translation-invariant operators on L 2 .R d /, which are Lipschitz-continuous to the action of diffeomorphisms. A scattering propagator is a path-ordered product of nonlinear… Expand
A Wavelet Tour of Signal Processing, 2nd Edition
- S. Mallat
- Computer Science
- 1999
Bargaining with reading habit is no need. Reading is not kind of something sold that you can take or not. It is a thing that will change your life to life better. It is the thing that will give you… Expand
Multifrequency channel decompositions of images and wavelet models
- S. Mallat
- Computer Science
- IEEE Trans. Acoust. Speech Signal Process.
- 1 December 1989
The author reviews recent multichannel models developed in psychophysiology, computer vision, and image processing. In psychophysiology, multichannel models have been particularly successful in… Expand