20091ee114_1_CA6

20091ee114_1_CA6 - UCLA, Electrical Engineering Department...

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UCLA, Electrical Engineering Department Winter Quarter, 2009 EE 114, Part 2: Image Processing Assigned: Feb. 18, 2009 Computer Assignment #6 Due: Feb. 25, 2009 1. Introduction In this assignment, you will experiment with the two-dimensional Fourier Transform of digital images. 2. Preliminary The following tools in Matlab will be useful in this assignment: Fast Fourier Transform of a 2-D array ( fft2 ) The Fourier Transform of a 2-D array can be performed by fft2 . a_ft = fft2(array); Inverse Fast Fourier Transform of a 2-D array ( ifft2 ) The Inverse Fourier Transform of a 2-D array can be performed by ifft2 . iarray = ifft2(a_ft); Shift ( fftshift and ifftshift ) The coefficient array produced by the Fourier Transform has the lower frequency components at the corners of the 2D array and the higher frequency components at the center as shown in Figure 1. Lower
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Figure1. FT coefficients before fftshift fftshift performs a 2D circular shift that moves the zero-frequency component of fast Fourier
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20091ee114_1_CA6 - UCLA, Electrical Engineering Department...

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