Publication detail

Unconventional Multifractal Formalism and Image Analysis of Natural Fractals

DRUCKMÜLLER, M.

Czech title

Unconventional Multifractal Formalism and Image Analysis of Natural Fractals

English title

Unconventional Multifractal Formalism and Image Analysis of Natural Fractals

Type

journal article - other

Language

en

Original abstract

The unconventional multifractal formalism is compared with the conventional one frequently used to characterize nonlinear phenomena and complex systems. The algorithm for the unconventional formalism has been implemented on a computer. Numerical artifacts of the method are discussed. Empirical criteria for distinguishing the monofractality/multifractality of the spectra affected by statistical fluctuations are presented. The multifractal image analysis of the Lichenberg figures has confirmed a self-similar arrangement of surface streamers belonging to the special case of electrostatic separation discharges propagating along a surface of polymeric dislectrics.

Czech abstract

The unconventional multifractal formalism is compared with the conventional one frequently used to characterize nonlinear phenomena and complex systems. The algorithm for the unconventional formalism has been implemented on a computer. Numerical artifacts of the method are discussed. Empirical criteria for distinguishing the monofractality/multifractality of the spectra affected by statistical fluctuations are presented. The multifractal image analysis of the Lichenberg figures has confirmed a self-similar arrangement of surface streamers belonging to the special case of electrostatic separation discharges propagating along a surface of polymeric dislectrics.

English abstract

The unconventional multifractal formalism is compared with the conventional one frequently used to characterize nonlinear phenomena and complex systems. The algorithm for the unconventional formalism has been implemented on a computer. Numerical artifacts of the method are discussed. Empirical criteria for distinguishing the monofractality/multifractality of the spectra affected by statistical fluctuations are presented. The multifractal image analysis of the Lichenberg figures has confirmed a self-similar arrangement of surface streamers belonging to the special case of electrostatic separation discharges propagating along a surface of polymeric dislectrics.

Keywords in Czech

fraktál

Keywords in English

fractal

Released

01.01.1999

Publisher

Springer Netherlands

ISSN

0011-4626

Journal

Czechoslovak Journal of Physics

Volume

1999

Number

10

Pages count

14

BIBTEX


@article{BUT39994,
  author="Miloslav {Druckmüller},
  title="Unconventional Multifractal Formalism and Image Analysis of Natural Fractals",
  journal="Czechoslovak Journal of Physics",
  year="1999",
  volume="1999",
  number="10",
  month="January",
  publisher="Springer Netherlands",
  issn="0011-4626"
}