Wavelet decomposition of measures: Application to multifractal analysis of images

Abstract : We show the relevance of multifractal analysis for some problems in image processing. We relate it to the standard question of the determination of correct function space settings. We show why a scale-invariant analysis, such as the one provided by wavelets, is pertinent for this purpose. Since a good setting for images is provided by spaces of measures, we give some insight into the problem of multifractal analysis of measures using wavelet techniques.
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Patrice Abry, Stéphane Jaffard, Stéphane Roux, Béatrice Vedel, Herwig Wendt. Wavelet decomposition of measures: Application to multifractal analysis of images. NATO-ASI Conf. on Unexploded Ordnance Detection and Mitigation NATO, Jul 2008, Italy. ⟨ensl-00359516⟩

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