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Image Processing : Question Paper Dec 2011 - Information Technology (Semester 7) | Mumbai University (MU)

## Image Processing - Dec 2011

### 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.
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 marks)
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 marks)
1(c) Show that the first difference of its chain code normalizes to its rotation.(5 marks) 1(d) Median filter is the best solution to remove salt and pepper noise. Justify.(5 marks) 2(a) Obtain the Hadamard matrix of N=8.(6 marks) 2(b) List any two properties of 2-D-DFT. Prove any one of them. (4 marks) 2(c) Using a 4 point FFT algorithm, evaluate 2-D DFT of the following image (10 marks)
3(a) Explain the following operation:
(i) Erosion
(ii) Dilation
(iii) Skeletonization
(iv) Prunning
(10 marks)
3(b) Consider the image given below. Calculate the direction of the edge at the centre of point of the image (10 marks)
4(a) Explain JPEG baseline compression scheme in detail.(5 marks) 4(b) Explain sub band coding in image compression using Wavelet transform.(5 marks) 4(c) Compute the coding redundancy of the following image using Huffman code (10 marks)
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 marks) 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 marks) 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 marks)
6(b) If the 1-DCT kernel is g(x,u) = Find The DCT of given image: (8 marks)
6(c) Discuss the limitations of the Laplacian operator for edge detection compared with the gradient operators.(4 marks)

### Write short notes on any two :-

7(a) Object Detection using coorelation principle.(10 marks) 7(b) Region based segmentation.(10 marks) 7(c) Content Based Image Retrieval (C.B.I.R)(10 marks) 7(d) Copyright marking.(10 marks)

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