MEASURING OF SPECTRAL FRACTAL DIMENSION

József Berke ()
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József Berke: Division of Applied Information Technology, University of Pannonia, Deák Ferenc street. 57, H-8360 Keszthely, Hungary

New Mathematics and Natural Computation (NMNC), 2007, vol. 03, issue 03, 409-418

Abstract: There were great expectations in the 1980s in connection with the practical applications of mathematical processes which were built mainly upon the fractal dimension, mathematical basis. Results were achieved in the first times in several fields: examination of material structure, simulation of chaotic phenomena (earthquake, tornado), modeling real processing with the help of the information technology and its equipments, the definition of the length of rivers or riverbanks. Significant results were also achieved later in practical applications in the fields of information technology, certain image processing areas, data compression, and computer classification. In this paper, the well known algorithms calculating fractal dimension in a much simplified manner will be presented. The novel mathematical concepts, named by the author as 'Spectral Fractal Dimension' are also described in this paper.

Keywords: Image processing; spectral fractal dimension; natural applications (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S1793005707000872

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