IDEAS home Printed from https://ideas.repec.org/a/spr/coopap/v54y2013i2p215-237.html
   My bibliography  Save this article

A full second order variational model for multiscale texture analysis

Author

Listed:
  • Maïtine Bergounioux
  • Loïc Piffet

Abstract

We present a second order image decomposition model to perform denoising and texture extraction. We look for the decomposition f=u+v+w where u is a first order term, v a second order term and w the (0 order) remainder term. For highly textured images the model gives a two-scale texture decomposition: u can be viewed as a macro-texture (larger scale) whose oscillations are not too large and w is the micro-texture (very oscillating) that may contain noise. We perform mathematical analysis of the model and give numerical examples. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Maïtine Bergounioux & Loïc Piffet, 2013. "A full second order variational model for multiscale texture analysis," Computational Optimization and Applications, Springer, vol. 54(2), pages 215-237, March.
    • Handle: RePEc:spr:coopap:v:54:y:2013:i:2:p:215-237
    DOI: 10.1007/s10589-012-9484-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10589-012-9484-9
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10589-012-9484-9?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. M. Bergounioux, 2016. "Mathematical Analysis of a Inf-Convolution Model for Image Processing," Journal of Optimization Theory and Applications, Springer, vol. 168(1), pages 1-21, January.

    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:spr:coopap:v:54:y:2013:i:2:p:215-237. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.