S. Mallat

Publications187
h-index56
Citations72,908
Highly Influential Citations5,330
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A wavelet tour of signal processing
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
  • 17,255
  • 1682
  • PDF
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
  • S. Mallat
  • Computer Science, Mathematics
  • IEEE Trans. Pattern Anal. Mach. Intell.
  • 1 July 1989
TLDR
We show that the difference of information between the approximation of a signal at the resolutions 2/sup j+1/ and 2/Sup j/ can be extracted by decomposing this signal on a wavelet orthonormal basis of L/sup 2/(R/sup n/). Expand
  • 19,933
  • 1107
  • PDF
Matching pursuits with time-frequency dictionaries
  • S. Mallat, Z. Zhang
  • Mathematics, Computer Science
  • IEEE Trans. Signal Process.
  • 1 August 1993
TLDR
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. Expand
  • 8,515
  • 627
  • PDF
Characterization of Signals from Multiscale Edges
  • S. Mallat, S. Zhong
  • Mathematics, Computer Science
  • IEEE Trans. Pattern Anal. Mach. Intell.
  • 11 August 2011
TLDR
A multiscale Canny edge detection is equivalent to finding the local maxima of a wavelet transform. Expand
  • 3,217
  • 270
  • PDF
Singularity detection and processing with wavelets
TLDR
The mathematical characterization of singularities with Lipschitz exponents of functions from the evolution across scales of their wavelet transform is reviewed. Expand
  • 3,991
  • 264
  • PDF
A Wavelet Tour of Signal Processing - The Sparse Way, 3rd Edition
TLDR
A Wavelet Tour of Signal Processing: The Sparse Way, third edition, is an invaluable resource for researchers and R&D engineers wishing to apply the theory in fields such as image processing, video processing and compression, bio-sensing, medical imaging, machine vision and communications engineering. Expand
  • 2,217
  • 205
A Wavelet Tour of Signal Processing, 2nd Edition
TLDR
Reading habit is not kind of something sold that you can take or not. Expand
  • 874
  • 149
Multiresolution approximations and wavelet orthonormal bases of L^2(R)
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
  • 2,492
  • 135
  • PDF
Group Invariant Scattering
  • S. Mallat
  • Mathematics, Computer Science
  • ArXiv
  • 11 January 2011
TLDR
This paper constructs translation-invariant operators on L 2 .R d /, which are Lipschitz-continuous to the action of diffeomorphisms. Expand
  • 582
  • 104
  • PDF
Multifrequency channel decompositions of images and wavelet models
  • S. Mallat
  • Computer Science
  • IEEE Trans. Acoust. Speech Signal Process.
  • 1 December 1989
TLDR
The author reviews recent multichannel models developed in psychophysiology, computer vision, and image processing. Expand
  • 2,060
  • 77
  • PDF
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