Multifractal formalism in image and time series analysis

Audrey Karperien, Herbert Jelinek, Helmut Ahammer

Research output: Book chapter/Published conference paperConference paper

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.
Original languageEnglish
Title of host publicationBanach Center Publications
Place of PublicationPoland
PublisherInstitute of Mathematics, Polish Academy of Sciences
Pages23-45
Number of pages23
Volume109
DOIs
Publication statusPublished - 2016
EventArithmetic methods in mathematical physics and biology - Banach Centre, Bedlewo, Poland
Duration: 03 Aug 201408 Aug 2014
https://ammpb.wmi.amu.edu.pl/abstract.htm

Publication series

Name
ISSN (Print)0137-6934

Conference

ConferenceArithmetic methods in mathematical physics and biology
CountryPoland
CityBedlewo
Period03/08/1408/08/14
Internet address

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  • Cite this

    Karperien, A., Jelinek, H., & Ahammer, H. (2016). Multifractal formalism in image and time series analysis. In Banach Center Publications (Vol. 109, pp. 23-45). Institute of Mathematics, Polish Academy of Sciences. https://doi.org/10.4064/bc109-0-3