IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i20p4305-4314.html
   My bibliography  Save this article

A suggested generalization for the lacunarity index

Author

Listed:
  • Vernon-Carter, J.
  • Lobato-Calleros, C.
  • Escarela-Perez, R.
  • Rodriguez, E.
  • Alvarez-Ramirez, J.

Abstract

Nowadays, lacunarity is a well-accepted concept to complement fractality studies of complex sets. Lacunarity features are used to assess the largeness of gaps or holes of complex signals and images. As it stands, the lacunarity analysis used is an index averaging the behavior of small- and large-size structures in a given set. The aim of this work is to propose a generalized lacunarity concept on the basis of generalized moments. In this form, the lacunarity index, depending on a discrimination parameter, is oriented to quantify lacunarity associated with objects of different size. Textbook and real images are used to illustrate the ability of the generalized lacunarity index for displaying interesting features of real complex sets.

Suggested Citation

  • Vernon-Carter, J. & Lobato-Calleros, C. & Escarela-Perez, R. & Rodriguez, E. & Alvarez-Ramirez, J., 2009. "A suggested generalization for the lacunarity index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4305-4314.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:20:p:4305-4314
    DOI: 10.1016/j.physa.2009.07.032
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437109005913
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2009.07.032?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.

    References listed on IDEAS

    as
    1. Feagin, R.A., 2003. "Relationship of second-order lacunarity, Hurst exponent, Brownian motion, and pattern organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 315-321.
    2. Feagin, R.A. & Wu, X.B. & Feagin, T., 2007. "Edge effects in lacunarity analysis," Ecological Modelling, Elsevier, vol. 201(3), pages 262-268.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Feagin, R.A. & Wu, X.B. & Feagin, T., 2007. "Edge effects in lacunarity analysis," Ecological Modelling, Elsevier, vol. 201(3), pages 262-268.
    2. Kassel Hingee & Adrian Baddeley & Peter Caccetta & Gopalan Nair, 2019. "Computation of Lacunarity from Covariance of Spatial Binary Maps," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 24(2), pages 264-288, June.

    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:eee:phsmap:v:388:y:2009:i:20:p:4305-4314. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.