Understanding the Differences between 2D FFT and 2D DFT for Image Transforms

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nylonman
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Confusion with 2D DFT

Hello everyone,

I'm trying to figure out why the third transform in the picture I attach here is different to the other ones, why it's 'distorted'. I know that it's related with the fact that if you copy the image in a grid the resulting image has discontinuous lines, unlike the other two transforms where the resulting lines are continuous, but I can't see the relation with the distortion.

Thank you for any help!
 

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