Multifractal analysis aims to characterize signals, functions, images or fields, via the
fluctuations of their local regularity along time or space, hence capturing crucial features of …

Multifractal analysis studies signals, functions, images or fields via the fluctuations of their
local regularity along time or space, which capture crucial features of their temporal/spatial …

Scale invariance is a widely used concept to analyze real-world data from many different
applications and multifractal analysis has become the standard corresponding signal …

Multifractal analysis has become a standard signal processing tool, for which a promising
new formulation, the pleader multifractal formalism, has recently been proposed. It relies on …

B. Mandelbrot gave a new birth to the notions of scale invariance, self-similarity and non-
integer dimensions, gathering them as the founding corner-stones used to build up fractal …

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 …

Scale invariance constitutes a paradigm that is frequently used for the analysis and
modeling of empirical data in various applications of very different natures. Multifractal …

Despite its solid foundations, multifractal analysis is still a challenging task. The
'inversed'singularity spectrum is a major pitfall in standard multifractal analyses especially …

Multifractal analysis, that quantifies the fluctuations of regularities in time series or textures,
has become a standard signal/image processing tool. It has been successfully used in a …

Multifractal analysis is a reference tool for the analysis of data based on local regularity,
which has been proven useful in an increasing number of applications. However, in its …