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Unconventional multifractal formalism and image analysis of natural fractals

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Czechoslovak Journal of Physics Aims and scope

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.

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Authors and Affiliations

  1. Department of Physics, Faculty of Civil Engineering, Technical University, Žižkova 17, CZ-602 00, Brno, Czech Republic

    T. Ficker

  2. Department of Mathematics, Faculty of Mechanical Engineering, Technická 2, CZ-616 00, Brno, Czech Republic

    M. Druckmüller & D. Martišek

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  1. T. Ficker
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  2. M. Druckmüller
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  3. D. Martišek
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Ficker, T., Druckmüller, M. & Martišek, D. Unconventional multifractal formalism and image analysis of natural fractals. Czechoslovak Journal of Physics 49, 1445–1459 (1999). https://doi.org/10.1023/A:1021157928415

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