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Wavelets pp 305-312 | Cite as

An Algorithm for Fast Imaging of Wavelet Transforms

  • P. Hanusse
Conference paper
Part of the inverse problems and theoretical imaging book series (IPTI)

Abstract

We consider the use of wavelet transforms as a tool to analyze the structure of complex signals through a two dimensional representation of the transform rather than through its capabilities of coding, decomposition and reconstruction. Indeed, the remarkable properties of this transform can be used with great profit to obtain a very natural and visual access to some of the structural properties of a signal, which can be typically viewed as a time series [1].

Keywords

Discrete Wavelet Transformation Wavelet Transformation Digital Picture Renormalization Factor Discrete Convolution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    A. Grossmann and J. Morlet, “Mathematics and Physics, Lectures on recent results”, edited by L. Streit (World Scientific,Singapore,1987).Google Scholar
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    I. Daubechies, “Orthogonal bases of compactly supported wavelets”, (preprint ATT Bell Labs 1987).Google Scholar
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    S. Mallat, “Multiresolution approximation and wavelets”, (preprint GRASP Lab, University of Pennsylvania, 1987.Google Scholar
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    W.K. Pratt, Digital Image Processing, (Wiley, N.Y. 1978).Google Scholar
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    R. Kronland-Martinet, J. Morlet and A. Grossmann, in Int. J. Pattern Recognition and Artificial Intelligence, (special issue on “Expert systems and Pattern Analysis” 1987 ).Google Scholar
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    A. Grossmann, M. Holschneider, R. Kronland-Martinet ans J.Morlet, in “Advances in electronics en electron physics”, P.C. Sabatier ed., supplement 19, “Inverse Problem”, (Academic Press, 1987 ).Google Scholar
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    A. Arneodo, G Grasseau and M. Holschneider, “Wavelet transform of invariant measures of some dynamical systems”, (preprint CRPP, CNRS Bordeaux 1987 ).Google Scholar
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    A. Arneodo, G Grasseau and M. Holschneider, “On the wavelet transform of multifractals”(preprint CRPP, CNRS Bordeaux 1988 ).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • P. Hanusse
    • 1
  1. 1.Centre de Recherche Paul Pascal, CNRSDomaine UniversitaireTalence CedexFrance

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