Advertisement

Rotational Symmetry

  • Ronald Bracewell

Abstract

A television image is rectangular and uses two independent variables in its representation of a three-dimensional scene. However, the television camera has an optical system with component parts, such as the aperture containing the objective lens, which, while distinctly multidimensional, possess circular symmetry. Only one independent variable, namely radius, may be needed to specify the instrumental properties across such an aperture, because the properties may be independent of the second variable, in this case angle. Circular symmetry also occurs in objects that are under study (some astronomical objects, for example) or in objects that influence imaging (rain drops), and is a property of many artifacts. Because of the prevalence of circular symmetry, particularly in instruments, special attention to circularly symmetrical transforms is warranted. This chapter also deals briefly with objects having rotational symmetry, which are of less frequent occurrence, but related.

Keywords

Bessel Function Rotational Symmetry Chebyshev Polynomial Spin Average Circular Symmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Ronald Bracewell
    • 1
  1. 1.Stanford UniversityStanfordUSA

Personalised recommendations