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. © 2009 Springer Netherlands.
CITATION STYLE
Abry, P., Jaffard, S., Roux, S., Vedel, B., & Wendt, H. (2009). Wavelet decomposition of measures: Application to multifractal analysis of images. NATO Science for Peace and Security Series B: Physics and Biophysics, 1–20. https://doi.org/10.1007/978-1-4020-9253-4_1
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