Skip to main content
SpringerLink
Log in

The U(2) Fourier group for rectangular pixellated images

  • Conference paper
  • First Online:
Physical and Mathematical Aspects of Symmetries

  • 714 Accesses

Abstract

We study the model of optics in which images are two-dimensional pixellated arrays of values on a screen, and in particular the unitary transformations that have direct correspondence with those in the paraxial geometric and wave optical models. This correspondence is established for the U(2) Fourier group that consists of rotations, gyrations, and two-dimensional Fourier transformations.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

  1. Posgrado en Ciencias Físicas, Universidad Nacional Autónoma de México, Mexico City, Mexico

    Alejandro R. Urzúa

  2. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, Cuernavaca, Morelos, 62210, México

    Kurt Bernardo Wolf

Authors
  1. Alejandro R. Urzúa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kurt Bernardo Wolf
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alejandro R. Urzúa .

Editor information

Editors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Sergio Duarte

  2. Laboratoire APC, Paris Diderot University, Paris, France

    Jean-Pierre Gazeau

  3. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Sofiane Faci

  4. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Tobias Micklitz

  5. Universidade Federal Rural do Rio de Janeiro, Seropédica, Rio de Janeiro, Brazil

    Ricardo Scherer

  6. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Francesco Toppan

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Urzúa, A.R., Wolf, K.B. (2017). The U(2) Fourier group for rectangular pixellated images. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_55

Download citation

Publish with us

Policies and ethics

Search

Navigation