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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} :-
$$F=\left[\begin{array}{cccc}1 & 1 & 2 & 1 \\2 & 1 & 1 & 2 \\1 & 3 & 2 & 1 \\2 & 1 & 2 & 1\end{array}\right]$$
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 |
(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)