News for hackers. Stuff that matters.
Re:FFTs and Optical Lenses by skierscott on Tuesday May 27, 2014 @10:39PM (#7808109)
You are correct; the FFT or DFT is not the same thing as the continuous-time Fourier transform (CFT).

This technical report[1] examining the relation between the DFT and CFT shows in eq. 20 that the DFT is just the CFT evaluated at w=k2pi/(N*T). As N becomes large (number of pixels is large), this approaches the CFT.

I left this detail out; I wanted to put this in terms the reader knew.

[1]:http://bsp.pdx.edu/Reports/BSP-TR0201.pdf

Re:FFTs and Optical Lenses by panic on Tuesday May 27, 2014 @11:42PM (#7808293)
If you just left out one "F" from "FFT" it would be more precise and less confusing. Is there any reason to bring the Fast Fourier Transform algorithm up at all?
Re:FFTs and Optical Lenses by science404 on Wednesday May 28, 2014 @08:00AM (#7809460)
Not to the mention the fact that the FFT is an algorithm to compute the DFT. So calling the Fourier transform an FFT is even more of a misnomer.