Question Paper: Digital Image Processing : Question Paper Dec 2013 - Electronics Engineering (Semester 7) | Mumbai University (MU)
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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.

<colgroup span="9" width="85"> </colgroup>
 Gray level 0 1 2 3 4 5 6 7 Frequency of occurrence 0 50 100 200 400 200 50 0
(10 marks) 2 (b) With the help of block diagram, explain the working of a Homomorphic filter.(10 marks) 3 (a) A 5×5 image segment is shown below. Perform bitplane slicing and lowpass filtering on the same:-
<colgroup span="5" width="85"> </colgroup>
 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
(10 marks)
3 (b) Which help of suitable example, explain the following morphological operations
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.
<colgroup span="7" width="85"> </colgroup>
 Symbol a1 a2 a3 a4 a5 a6 Probability 0.05 0.25 0.05 0.15 0.2 0.3
(10 marks)
5 (a) Obtain the 2DDET of the image segment shown below using any one fast algorithm.
$$\begin{matrix} f(x,y)= \end{matrix}\begin{bmatrix} 0 &0 &1 &1 \\1 &2 &0 &0 \\1 &0 &1 &1 \\2 &0 &1 &0 \end{bmatrix}$$
(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)