Fourier Transforms

  • Gösta H. Granlund
  • Hans Knutsson
Chapter

Abstract

This chapter presents an overview of definitions and theorems for Fourier transforms in the context of computer vision. The presentation is made without any claims on being either thorough or mathematically strict. Some results are stated without proofs and the transforms of various functions are assumed to exist without further ado. For a more rigorous treatment of these issues, see, for example, [23]. Furthermore, it is assumed that the reader is familiar with the one-dimensional Fourier transform, both the continuous version and the discrete Fourier transform, as well as some mathematical constructions such as generalized functions or distributions.

Keywords

Fourier Transform Spatial Domain Discrete Fourier Transform Uncertainty Principle Inverse Fourier Transform 
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.

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Gösta H. Granlund
    • 1
  • Hans Knutsson
    • 1
  1. 1.Linköping UniversitySweden

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