IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v03y2007i03ns1793005707000872.html
   My bibliography  Save this article

Measuring Of Spectral Fractal Dimension

Author

Listed:
  • JÓZSEF BERKE

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

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.

Suggested Citation

  • József Berke, 2007. "Measuring Of Spectral Fractal Dimension," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 409-418.
    • Handle: RePEc:wsi:nmncxx:v:03:y:2007:i:03:n:s1793005707000872
    DOI: 10.1142/S1793005707000872
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005707000872
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005707000872?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chamorro-Posada, Pedro, 2016. "A simple method for estimating the fractal dimension from digital images: The compression dimension," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 562-572.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:nmncxx:v:03:y:2007:i:03:n:s1793005707000872. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/nmnc/nmnc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.