IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v103y1999i1d10.1023_a1021717215386.html
   My bibliography  Save this article

Generalized Solution of Linear Systems and Image Restoration

Author

Listed:
  • F. Aluffi-Pentini

    (Università di Roma-La Sapienza)

  • T. Castrignanò

    (Università di Roma-Tor Vergata)

  • P. Maponi

    (Università di Camerino)

  • V. Parisi

    (Università di Roma-Tor Vergata)

  • F. Zirilli

    (Università di Roma-La Sapienza)

Abstract

Let n, m be positive integers; we consider m×n real linear systems. We define regularized solutions of a linear system as the minimizers of an optimization problem. The objective function of this optimization problem can be seen as the Tikhonov functional when the p-norm is considered instead of the Euclidean norm. The cases p=1 and p=∞ are studied. This analysis is used to restore defocused synthetic images and real images with encouraging results.

Suggested Citation

  • F. Aluffi-Pentini & T. Castrignanò & P. Maponi & V. Parisi & F. Zirilli, 1999. "Generalized Solution of Linear Systems and Image Restoration," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 45-64, October.
    • Handle: RePEc:spr:joptap:v:103:y:1999:i:1:d:10.1023_a:1021717215386
    DOI: 10.1023/A:1021717215386
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1021717215386
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1021717215386?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. Henryk Gzyl & Noam Zeev, 2002. "Probabilistic Approach to an Image Reconstruction Problem," Methodology and Computing in Applied Probability, Springer, vol. 4(3), pages 279-290, September.

    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:joptap:v:103:y:1999:i:1:d:10.1023_a:1021717215386. 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.