IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v32y2024i05ns0218348x2450097x.html
   My bibliography  Save this article

Fractal Dimension Preservation By Gabor Filters In Image Processing

Author

Listed:
  • JUAN FELIPE MONTESINOS-IBAÑEZ

    (División de Estudios de Posgrado, Universidad Tecnológica de la Mixteca, Huajuapan de León, Oaxaca, Mexico)

  • TOMà S PÉREZ-BECERRA

    (��Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Huajuapan de León, Oaxaca, Mexico)

  • SALVADOR SÃ NCHEZ-PERALES

    (��Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Huajuapan de León, Oaxaca, Mexico)

Abstract

Gabor filters are parametric functions that are located in both the spatial and frequency domains, they are used in digital signal processing and have been combined with the fractal dimension in the biometric recognition of the iris of the eye and oil exploration to identify the layers that form a soil structure. In this work, we present an example of a Gabor filter that does not preserve fractal dimension, which affects the efficiency of the methods of recognition. In this sense, S. Albeverio, M. Pratsiovytyi, and G. Torbin provide a study on the functions that preserve the fractal dimension and show that those that have a decomposable domain such that they have the property of being bi-Lipschitz on each element of the decomposition, then they will preserve the dimension, however, in this investigation, it is proven that the Gabor filter is not a function of this kind. Therefore, as a main result, the conditions on the parameters are provided for the Gabor filters to preserve it.

Suggested Citation

  • Juan Felipe Montesinos-Ibaã‘Ez & Tomã S Pã‰Rez-Becerra & Salvador Sã Nchez-Perales, 2024. "Fractal Dimension Preservation By Gabor Filters In Image Processing," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:05:n:s0218348x2450097x
    DOI: 10.1142/S0218348X2450097X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X2450097X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X2450097X?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:fracta:v:32:y:2024:i:05:n:s0218348x2450097x. 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: https://www.worldscientific.com/worldscinet/fractals .

    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.