Multifractal formalism in image and time series analysis
Volume 109 / 2016
Banach Center Publications 109 (2016), 23-45
MSC: 28A80.
DOI: 10.4064/bc109-0-3
Abstract
Multifractal analysis explores patterns to discover within them characteristic sets of multiple fractal dimensions. Using computer software, patterns are resolved over decreasing scales and examined under various distorting lenses to make multifractal spectra that can sometimes tell much about the state of a system, including physiological systems. Here we review some key tenets of the multifractal formalism using box-counting as the basis for software-based multifractal analysis, and discuss some applications to cell morphology, retinal pathology, cancer, and heart rate variability.
