Two Dimensional Fourier Analysis

  • Robert M. Gray
  • Joseph W. Goodman
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 322)

Abstract

The basic definitions for two-dimensional (2D) Fourier transforms were introduced in Chapter 2 as Fourier transforms of signals with two arguments. As in the one-dimensional case, a variety of two-dimensional signal types are possible. In this chapter we focus on a particular signal type, and demonstrate the natural extensions of many of the one-dimensional results to two-dimensional Fourier transforms. We here consider briefly several extensions of previously described results to the two-dimensional case. More extensive treatments of two-dimensional Fourier analysis to images may be found in Goodman [18] and Bracewell [8].

Keywords

Attenuation Hexagonal Assure Convolution Sine 

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Robert M. Gray
    • 1
  • Joseph W. Goodman
    • 1
  1. 1.Information Systems Laboratory Department of Electrical EngineeringStanford UniversityUSA

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