Fourier transform of an image


Q1. Illustrate an ideal smoothing frequency domain filter H(u,v). If F(u,v) is the Fourier transform of an image which is subjected to the smoothing filter, work out the Fourier transform of the smoothed image.

Q2. A 128 ×128 image consists of 8 gray levels with the given distribution of pixels.

489_distribution of pixels.jpg

Draw a rough sketch of the histogram by taking 8 gray levels on the x-axis. On y-axis take probability in the range 0 to 0.3 in steps of 0.05. Apply discrete histogram equalization on this image and point out the new intensity values obtained for each of the indicated pixel sets. Draw a rough sketch of new histogram.

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Computer Engineering: Fourier transform of an image
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