iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://unpaywall.org/10.1007/S10208-004-0122-5
Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing | Foundations of Computational Mathematics Skip to main content
Springer Nature Link
Log in

Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing

  • Published:
Foundations of Computational Mathematics Aims and scope Submit manuscript

Abstract

A nonlinear multiresolution scheme within Harten's framework is presented, based on a new nonlinear, centered piecewise polynomial interpolation technique. Analytical properties of the resulting subdivision scheme, such as convergence, smoothness, and stability, are studied. The stability and the compression properties of the associated multiresolution transform are demonstrated on several numerical experiments on images.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena, Spain

    Sergio Amat & J. Carlos Trillo

  2. Departament de Matematica Aplicada, Universitat de Valencia, Spain

    Rosa Donat

  3. Ecole Generaliste d'Ingenieurs de Marseille (EGIM), Laboratoire d'Analyse Topologie et Probabilites (LATP), France

    Jacques Liandrat

Authors
  1. Sergio Amat
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rosa Donat
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jacques Liandrat
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. Carlos Trillo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Sergio Amat, Rosa Donat, Jacques Liandrat or J. Carlos Trillo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Amat, S., Donat, R., Liandrat, J. et al. Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing. Found Comput Math 6, 193–225 (2006). https://doi.org/10.1007/s10208-004-0122-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10208-004-0122-5

Search

Navigation