Digital Image Processing ECE.09.452/ECE.09.552 Fall 2009. Lecture 4 October 5, 2009. Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/fall09/dip/. Plan. Image Spectrum 2-D Fourier Transform (DFT & FFT) Spectral Filtering
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Lecture 4October 5, 2009
Degradation Model: g = f + nNoise Models
Inverse Fourier Transform (IFT)Recall: 1-D CFT
Equal frequency intervals
n = 0, 1, 2,….., N-1
k = 0, 1, 2,….., N-1
f=0 f = fsHow to get the frequency axis in the DFT
f=0 fs/2 f = fsDFT Properties
X[n] = X[n+N] = X[n+2N] = ………
x[k] = x[k+N] = x[k+2N] = ……….
y2-D Continuous Fourier Transform
v=N v=N/2 v=02-D Discrete Fourier Transform
u=-N/2 u=0 u=N/2
v=N/2 v=0 v=-N/2