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Image Processing : Question Paper Dec 2013 - Information Technology (Semester 7) | Mumbai University (MU)

## Image Processing - Dec 2013

### Information Technology (Semester 7)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.

### Attempt the following

1 (a) Explain the fundamental of Digital Image Processing.(5 marks) 1 (b) What are different point processing techniques used for image enhancement?(5 marks) 1 (c) What is segmentation? Explain why it is required?(5 marks) 1 (d) What is Image compression?(5 marks) 2 (a) Classify the signal as energy or power signal :-
$$x(n)=\left\{\begin{array}{l}{\left(\frac{1}{2}\right)}^n\ \ \&n\geq{}0 \\{\left(2\right)}^n\ \ \&n<0\end{array}\right.$$
(5 marks)
2 (b) State whether system is linear/ Non-linear, Time-Variant/ Time-Invariant, Casual/Anticausal, Stable/Unstable :-
y(n)=nx(n).
(5 marks)
2 (c) Let x(n)={1,2,3,4}
(i) Find x[k]
(ii) Find DFT of xe(n) and xo(n) using x[k].
(10 marks)
3 (a) Let x(n)={1,2,3,4,5,6,7} and h(n)={1,0,2} :-

• Find convolution using overlap add method
• Find convolution using overlap save method
• (10 marks) 3 (b) Given :-
$$F=\left[\begin{array}{cccc}1 & 1 & 2 & 1 \\2 & 1 & 1 & 2 \\1 & 3 & 2 & 1 \\2 & 1 & 2 & 1\end{array}\right]$$
Find 2D Hadamard transform?
(10 marks)
4 (a) Given :-
$$f\left[x,y\right]=\left[\begin{array}{cc}4 & 5 & 6 \\7 & 8 & 9\end{array}\right]$$
$$f\left[x,y\right]=\left[\begin{array}{cc}1 & 1 \\1 & 1\end{array}\right]$$
Find linear convolution?
(10 marks)
4 (b) Grey Level Histogram of an image is given below, compute Histogram Equalization. Draw the Histogram of input and output image:-
 Grey Levels 0 1 2 3 4 5 6 7 No. of Pixels 790 1023 850 656 329 245 122 81
(10 marks)
5 (a) Explain basic principle of detecting following in the images :-
(i) Points
(ii) Lines
(iii) Edges.
(10 marks)
5 (b) Given below is table of eight symbol and their frequency of occurrence :-
 Symbol S0 S1 S2 S3 S4 S5 S6 S7 Frequency 0.25 0.15 0.06 0.08 0.21 0.14 0.07 0.04

Give Huffman code for each eight symbol. What is coding efficiency?
(10 marks)
6 (a) Explain in detail Lossy image compression.(10 marks) 6 (b) Explain following terms :-
(i) Dialation
(ii) Erosion.
(10 marks)

### Write short notes on any four :-

7 (a) Image Acquisition(5 marks) 7 (b) Filters in frequency domain.(5 marks) 7 (c) Image segmentation(5 marks) 7 (d) Walsh transform(5 marks) 7 (e) Digital watermaking.(5 marks)

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