2-Microlocal Analysis and Application in Signal Processing

Abstract : This paper introduces the use of 2-microlocal analysis in signal processing. 2-microlocal analysis is a powerful tool for studying the regularity of solutions of partial differential equations. It allows to track the evolution of the Hölder exponent under the action of pseudo-differential operators. We first prove theoretical results pertaining to the so-called 2-microlocal frontier, that allow to characterize and prescribe it at a given point. We then show how to combine 2-microlocal analysis with multifractal analysis in order to perform image denoising.
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Communication dans un congrès
International Wavelet Conference, Apr 1998, Tanger, Morocco. 1998
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https://hal.inria.fr/inria-00598752
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Dernière modification le : vendredi 25 mai 2018 - 12:02:05
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  • HAL Id : inria-00598752, version 1

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Bertrand Guiheneuf, Jacques Lévy Véhel. 2-Microlocal Analysis and Application in Signal Processing. International Wavelet Conference, Apr 1998, Tanger, Morocco. 1998. 〈inria-00598752〉

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