Page History: Fourier Transform Properties
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Page Revision: 2010/11/11 15:01
Fourier Transform Properties - SeparabilityFourier Transform Properties - Translation
Translation property results in a phase shift of the spectrum. (a) Original
image. (b) The magnitude of the Fourier spectrum from (a) represented as an
image. (c) The phase of the Fourier spectrum from (a) represented by an image.
(d) and (g) are original image shifted by 128 rows and 128 columns, and 64 rows
and 64 columns, respectively. (e), (h) The magnitude spectrum. (f), (i) Phase
spectrum. These images illustrate that when an image is translated, the phase
changes, even though magnitude remains the same.
Fourier Transform Properties - Rotation 
Translation property results in corresponding rotations with image and
spectrum. (a) Original image. (b) Fourier spectrum image of original image. (c)
Original image rotated by 90 degrees. (d) Fourier spectrum image of rotated