5
$\begingroup$

I am following http://homepages.inf.ed.ac.uk/rbf/HIPR2/fourier.htm . I understand the application of Fourier Transform behind Image Processing, but right now, I am curious about the mathematics behind it, and it is giving me a bit of a hard time.

For example:

ft

In this formula, where do all these equations come from? Could somebody please elaborate the mathematics behind the scene in layman's term?

  • 2
    Did you check http://en.wikipedia.org/wiki/Discrete_Fourier_transform ?2012-08-28
  • 0
    Yes, I did, but my head spins even further.2012-08-28
  • 0
    [Explain the Fourier transform in layman's terms you say?](http://www.altdevblogaday.com/2011/05/17/understanding-the-fourier-transform/)2012-08-28
  • 2
    An interesting explanation, to be sure... but I think I prefer to think about it in terms of orthogonal bases in inner product spaces.2012-08-28

5 Answers 5