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If I take a two dimensional image and conduct a fourier transform on it, I would get a two dimensional matrix of complex values. If I want to find the amplitude of each value, is that the same as calculating the magnitude of each component, ie Mag(re,im) = sqrt(re^2+im^2)?

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I don't see the question here.

But you're right.
On the DFT map of the image, the magnitude / amplitude, etc. are powers of the length of the vector of the complex number.

On more useful visualization to help working with large Dynamic Range is using the log(1 + abs()) on the DFT.

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  • $\begingroup$ I was just confused because when searching online I see articles using amplitude and magnitude interchangeable and I was not sure if they were the same $\endgroup$ – DSP_Student Jul 25 '15 at 19:38
  • $\begingroup$ Indeed, many uses the terms "amplitude spectrum" and "phase spectrum", the first corresponding the magnitude of the complex values $\endgroup$ – Laurent Duval Dec 29 '15 at 12:53

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