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This is clearly a very important equation with tonnes of properties that I see come up a lot in image processing literature, but I don't understand why this equation is important, and what it is saying.

What does it really mean and why is the Fourier Transform so prevalent in image processing?

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    What part are you having difficulty understanding? An image as a function? 2D Fourier transform? Something else?2012-01-29
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    The 2D Fourier Transform, yes. I am specifically interested in the application to images, though. :)2012-01-30
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    There are some interesting answers to this question on the DSP StackExchange site: http://dsp.stackexchange.com/q/16372017-03-31

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