Fourier

Intuition behind image derivative using Fourier Transform for edges detection

Intuition behind image derivative using Fourier Transform for edges detection
  1. What does the Fourier transform of an image tell us?
  2. What are the advantages of taking Fourier transform of images?

What does the Fourier transform of an image tell us?

The Fourier Transform is an important image processing tool which is used to decompose an image into its sine and cosine components. The output of the transformation represents the image in the Fourier or frequency domain, while the input image is the spatial domain equivalent.

What are the advantages of taking Fourier transform of images?

The main advantage of Fourier analysis is that very little information is lost from the signal during the transformation. The Fourier transform maintains information on amplitude, harmonics, and phase and uses all parts of the waveform to translate the signal into the frequency domain.

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