MU Information Technology (Semester 7)
Image Processing
May 2015
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) Prove that Highpass: Original - Lowpass.
5 M
1 (b) Extreme contrast straching is thresholding.
5 M
1 (c) Explain discrete time systems with example.
5 M
1 (d) Differentiate between spatial resolution & tonal resolution.
5 M

2 (a) x(t) = sin (480 πt) + 3sin(720 πt) is sampled with Fs=600 times per second.
i) What are the frequencies in radians in the resulting DT signal x[n]?
ii) If x[n] is passed through an ideal interpolator, what is the reconstructed signal.
10 M
2 (b) Perform following operations on given signal.
x(n)={1, 2, 3, 5}
i) x(-n -1)
ii) x(n-2)
iii) x(n+1)
iv) x(-n +2)
v) 2x(n).
10 M

3 (a) Obtain four directional chain code & shape representation of following image.

5 M
3 (b) "Classify the signal as energy or power signal \[ x(n) = \left\{\begin{matrix} \left ( \frac {1}{2} \right )^n & n \ge 0 \\ (2) ^n & n \le 0 \end{matrix}\right. \]"
5 M
3 (c) "Consider the image given below. Calculate direction of edge at the centre point of image. \[ I = \begin{bmatrix} 50 &80 &70 \\5 &50 &90 \\7 &9 &50 \end{bmatrix} \]"
10 M

4 (a) "For the following binary image perform morphological operation opening followed by closing. \[ A= \begin{matrix} 1 &0 &1 &0 &1 &0 &1 \\1 &1 &0 &1 &1 &0 &1 \\1 &1 &1 &1 & 1 &1 &1 \\1 &1 &1 &1 & 1&0 &0 \\1 &1 &0 &1 &1 &1 &1 \end{matrix} \ \ B = [(1) \ 1\]"
10 M
4 (b) Derive Fast Walsh Transform Flowgraph for N=4.
10 M

5 (a) If x[n]={1, 2, 3, 4} & h{n} = {1, 7}
Find linear convolution using circular convolution.
10 M
5 (b) Compare lossless and lossy comparison techniques.
5 M
5 (c) Object detecting using correlation principle.
5 M

Write short notes on any two:
6 (a) Digital watermarking with application.
5 M
6 (b) Sampling & quantizations.
5 M
6 (c) Explain various frequency domain law pass filters in detail.
5 M

7 (a) Perform histogram stretching 50 that the new image has a dynamic range of [0, 7].
Gray level 0 1 2 3 4 5 6 7
No. of pixel  80 90 75 100 0 0 0 0
10 M
7 (b) State & prove any four properties of DFT.
10 M



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