Skip to main content
SpringerLink
Log in

Image Projection and Representation on Sn

  • Published:
Journal of Fourier Analysis and Applications Aims and scope Submit manuscript

Abstract

In signal processing, communications, and other branches of information technologies, it is often desirable to map the higher-dimensional signals on Sn. In this article we introduce a novel method of representing signals on Sn. This approach is based on geometric function theory, in particular on the theory of quasiregular mappings. The importance of sampling is underlined, and new geometric sampling theorems for general manifolds are presented.

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

Access this article

Log in via an institution

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. Electrical Engineering Department, Technion – Israel Institute of Technology, Technion City 32000 Haifa, Israel

    Emil Saucan, Eli Appleboim & Yehoshua Y. Zeevi

Authors
  1. Emil Saucan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Eli Appleboim
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yehoshua Y. Zeevi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Emil Saucan, Eli Appleboim or Yehoshua Y. Zeevi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saucan, E., Appleboim, E. & Zeevi, Y. Image Projection and Representation on Sn . J Fourier Anal Appl 13, 711–727 (2007). https://doi.org/10.1007/s00041-006-6906-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00041-006-6906-z

Keywords

Search

Navigation