Multifractal formalisms for multivariate analysis

• Published in: Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 475; no. 2229; p. 20190150
• Main Authors: Jaffard, Stéphane, Seuret, Stéphane, Wendt, Herwig, Leonarduzzi, Roberto, Abry, Patrice
• Format: Journal Article
• Language: English
• Published: Royal Society, The 01.09.2019; The Royal Society Publishing
• Subjects: Computer Science; Functional Analysis; Mathematics; Signal and Image Processing; multiplicative cascades; Subject Areas: applied mathematics; wavelet leaders; fractals Keywords: multifractal multivariate formalism; spatial regularity correlations

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 large variety of applicative contexts. Yet, successes are confined to the analysis of one signal or image at a ti...