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Digital Image Processing - Dec 2013
Electronics Engineering (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.
Justify any four of the following statements
1 (a) Reduction in spatial resolution results in checker board degradation.(5 marks)
1 (b) Huffman coding is a lossless compression technique.(5 marks)
1 (c) Butterworth lowpass filter is preferred to ideal lowpass filter.(5 marks)
1 (d) It is difficult to segment poorly illuminated images.(5 marks)
1 (e) Dynamic range compression is used in displaying the Fourier transform of an image.(5 marks)
2 (a) The gray level distribution of an image is shown in the table below. Perform histogram equalization and plot the original and equalized histograms.
Gray level | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Frequency of occurrence | 0 | 50 | 100 | 200 | 400 | 200 | 50 | 0 |
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6 | 7 | 6 | 6 | 7 |
0 | 0 | 0 | 1 | 2 |
1 | 1 | 1 | 2 | 3 |
4 | 5 | 5 | 4 | 2 |
6 | 6 | 6 | 7 | 7 |
i) Dilation
ii) Erosion.(10 marks) 4 (a) What are the different types of data redundancies found in digital image? Explain in detail.(10 marks) 4 (b) A source emits six symbols with probabilities as shown in the table below. Construct the Huffman code and calculate the coding the coding efficiency.
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Symbol | a1 | a2 | a3 | a4 | a5 | a6 |
Probability | 0.05 | 0.25 | 0.05 | 0.15 | 0.2 | 0.3 |
$$\begin{matrix} f(x,y)= \end{matrix}\begin{bmatrix} 0 &0 &1 &1 \\1 &2 &0 &0 \\1 &0 &1 &1 \\2 &0 &1 &0 \end{bmatrix}$$(10 marks) 5 (b) What is segmentation? With the help of examples, explain segmentation based on similarity.(10 marks) 6 (a) Explain the following with examples
i) Signature
ii) Fourier Descriptor(10 marks) 6 (b) State and prove period and translation properties of 2DDFT. Write the transformation matrices for Hadamard and Fourier transformation for N=4.(10 marks)
Write short notes on any four
7 (a) Isopreference curves(5 marks) 7 (b) Hough transform .(5 marks) 7 (c) Digital water marking.(5 marks) 7 (d) Chain Code.(5 marks) 7 (e) Biometric Authentication(5 marks)