MU Information Technology (Semester 7)
Image Processing
December 2011
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) Classify the following DT system on linearity, time invariance causality
(i) y(n)- 2ny(n-1)=x{n}
(ii) y(n)=x2{n}
(iii) y(n)=2x(n)x{n}
5 M
1(b) The first five DFT co-efficient of a real eight point sequence x{n} are
X{0} = 0.5, X{1} = 2+j, X{2} = 3+2j, X{3} = j, X{4} = 3,
find the remaining co-efficients.
5 M
1(c) Show that the first difference of its chain code normalizes to its rotation.
5 M
1(d) Median filter is the best solution to remove salt and pepper noise. Justify.
5 M

2(a) Obtain the Hadamard matrix of N=8.
6 M
2(b) List any two properties of 2-D-DFT. Prove any one of them.
4 M
2(c) Using a 4 point FFT algorithm, evaluate 2-D DFT of the following image
10 M

3(a) Explain the following operation:
(i) Erosion
(ii) Dilation
(iii) Skeletonization
(iv) Prunning
10 M
3(b) Consider the image given below. Calculate the direction of the edge at the centre of point of the image

10 M

4(a) Explain JPEG baseline compression scheme in detail.
5 M
4(b) Explain sub band coding in image compression using Wavelet transform.
5 M
4(c) Compute the coding redundancy of the following image using Huffman code
10 M

5(a) Find a difference equation of a DT causal LTI system which has ?{n} as input and cos [(?/4) n] is output. Derive the necessary equation.
10 M
5(b) Impulse response of FIR filter is given by h(n) = {1,1}. Find the response of the system to input x{n} where x{n} = {2,2,4} using FFT/IFFT.
10 M

6(a) For the 3-bit 4X4 image perform the following operation:-
(i) Negative
(ii) Thresholding with T=4
(iii) Intensity level slicing with background r1=2 & r2=5
(iv) bit-plane slicing for MSB & LSB

8 M
6(b) If the 1-DCT kernel is g(x,u) =

Find The DCT of given image:
8 M
6(c) Discuss the limitations of the Laplacian operator for edge detection compared with the gradient operators.
4 M

Write short notes on any two :-
7(a) Object Detection using coorelation principle.
10 M
7(b) Region based segmentation.
10 M
7(c) Content Based Image Retrieval (C.B.I.R)
10 M
7(d) Copyright marking.
10 M



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