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I have a somewhat qualitative understanding of image fourier transforms and what they represent which for the most part is sufficient for me. However i am interested to know how when i use an image analysis program to produce the fourier transform of a real image, what is actually going on? Would it be possible by hand to calculate the fourier transform of an image and if i wanted to do this what would be the process? Ultimately all you have in the real image is pixels which represent changes in intensity over 2 dimensional space? What values from the real image are used in the fourier transform equation?

Thanks for the help!