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) State and explain significance of convolution property of 2D Fourier Transform
5 M
1 (b) Justify/contradict all image compression techniques are invertible.
5 M
1 (c) Lossy and lossless compression
5 M
1 (d) Why zig-zag scanning preferred in JPEG standard?
5 M

2 (a) What is Hadamard transform? Write a 4 × 4 Hadamard matrix and its applications. Is H(4) orthogonal ?
10 M
2 (b) Explain segmentation based on discontinuity and segmentation based on similarities
10 M

3 (a) 8 level image is given below
F(x,y) =
4 6 0 3 7
2 1 5 0 3
4 2 7 0 7
1 5 4 6 0
4 7 5 4 1

Prepare histogram of given image
Perform histogram equalization and draw new histogram
10 M
3 (b) Compute 2D DF T of 4 × 4 gray scale image given below and then compute inverse 2D, DFT of transform coefficients. The image f(x, y) is given by
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
10 M

4 (a) Apply Slant transform and DCT transform on the given image and compare the result.
F(x,y)=
2 2 2 1
2 4 4 2
2 4 4 2
2 2 2 2
10 M
4 (b) Explain Homomorphic filter
10 M

5 (a) Write notes on Hotelling transform
10 M
5 (b) Calculate entropy and coding redundancy for symbols given in table using Huffman codes.
Symbol a1 a2 a3 a4 a5 a6 a7 a8
Probability 0.1 0.4 0.05 0.05 0.1 0.2 0.07 0.03
10 M

6 (a) Explain JPEG 2000 image compression standard.
10 M
6 (b) Explain JPEG 2000 image compression standard.
10 M

7 Write notes on
1. Connectivity of pixels
2. Image restoration.
3. Wiener filter.
20 M



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