Spectral fractal dimension

  • Authors:

  • József Berke

  • Affiliations:

  • Department of Statistics and Information Technology, University of Veszprém, Georgikon Faculty of Agronomy, Hungary

  • Venue:
  • TELE-INFO'05 Proceedings of the 4th WSEAS International Conference on Telecommunications and Informatics
  • Year:
  • 2005

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Abstract

There were great expectations in the 1980s in connection with the practical applications of mathematical processes which were built mainly upon fractal dimension mathematical basis. Results were achieved in the first times in several fields: examination of material structure, simulation of chaotic phenomena (earthquake, tornado), modelling real processes with the help of information technology equipment, the definition of length of rivers or riverbanks. Significant results were achieved in practical applications later in the fields of information technology, certain image processing areas, data compression, and computer classification. In the present publication the so far well known algorithms calculating fractal dimension in a simple way will be introduced as well as the new mathematical concept named by the author 'spectral fractal dimension', the algorithm derived from this concept and the possibilities of their practical usage.