The internet is full of information...but its not always comprehensible.
For example: wikipedia brings up as nearly a technical explanation (in a
concise form ;P ) as the fftw.org

FFT is used with periodic waveform interaction to tease out values
--decompose into sine components. (I hope that I'm not mangling the meaning
by trying to cram it down into one sentence) This link does a better job at
explaining it:
http://www.earlevel.com/main/2002/08/31/a-gentle-introduction-to-the-fft/

There are so many uses for FFT. It is a valuable (arguably critical) tool
for all sorts of signal processing ranging from noise filtering to 3D
tracking. But perhaps a  more immediate and practical application of it in
the 3D world is its facilitation of the deformation calculation of Amaan's
aaocean polygonal surface http://www.amaanakram.com/?page_id=131

I hope this helps :)

Cheers,
-=Eric

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