IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v147y2018icp237-249.html
   My bibliography  Save this article

On directional scaling matrices in dimension d=2

Author

Listed:
  • Rossini, Milvia
  • Volontè, Elena

Abstract

Scaling matrices are the key ingredient in subdivision schemes and multiresolution analysis, because they fix the way to refine the given data and to manipulate them. It is known that the absolute value of the scaling matrix determinant gives the number of disjoint cosets which is strictly connected with the number of filters needed to analyse a signal and then to computational complexity. Among the classical scaling matrices, we find the family of shearlet matrices that have many interesting properties that make them attractive when dealing with anisotropic problems. Their drawback is the relatively large determinant. The aim of this paper is to find a system of scaling matrices with the same good properties of shearlet matrices but with lower determinant.

Suggested Citation

  • Rossini, Milvia & Volontè, Elena, 2018. "On directional scaling matrices in dimension d=2," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 147(C), pages 237-249.
  • Handle: RePEc:eee:matcom:v:147:y:2018:i:c:p:237-249
    DOI: 10.1016/j.matcom.2017.05.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475417301878
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2017.05.001?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.

    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:matcom:v:147:y:2018:i:c:p:237-249. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.