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

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SUMMARY

The discussion focuses on the differences between 2D Fast Fourier Transform (FFT) and 2D Discrete Fourier Transform (DFT) in the context of image processing. A user expresses confusion regarding the distortion observed in the 2D DFT output, attributing it to discontinuous lines resulting from grid copying of the image. The conversation references a resource that discusses "rotation and edge effects," which are critical in understanding the discrepancies between the two transforms.

PREREQUISITES
  • Understanding of 2D Fast Fourier Transform (FFT)
  • Knowledge of 2D Discrete Fourier Transform (DFT)
  • Familiarity with image processing concepts
  • Basic grasp of edge effects in signal processing
NEXT STEPS
  • Research the mathematical foundations of 2D FFT and DFT
  • Explore the impact of edge effects on image transforms
  • Learn about techniques to mitigate distortion in image processing
  • Investigate software tools for implementing FFT and DFT, such as MATLAB or Python's NumPy library
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Image processing professionals, computer vision researchers, and anyone interested in understanding the nuances of Fourier transforms in digital images.

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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Could it just be a bug in your code?
 

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