This video [1] from a visual effects channel (Captain Disillusion) has an excellent visual illustration of how the Fourier tranform works and how its used in visual effects in his video about blurring and unblurring ("ENHANCE!") images.
replies(3):
https://youtu.be/spUNpyF58BY?feature=shared
Edit: In fact it was already mentioned in the comments, but I haven't noticed