Question Paper: Digital Image Processing : Question Paper Dec 2014 - Electronics Engineering (Semester 7) | Mumbai University (MU)
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## Digital Image Processing - Dec 2014

### 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.

1 (a) Differentiate between spatial and tonal resolutions(5 marks) 1 (b) Why is the sum of coefficients of a high pass filter mask zero?(5 marks) 1 (c) Compare Huffman coding and arithmetic coding;(5 marks) 1 (d) Give 3×3 masks for Laplacian filter, horizontal, vertical, +45° and -45° line detector(5 marks) 1 (e) Explain dilation and erosion in brief(5 marks) 2 (a) Explain the following enhancement operation and draw the graph of transformation function
i) Clipping ii) Bit plane slicing
(10 marks)
2 (b) Perform histogram equalization on the following image histogram and plot original and equalized histograms.

<colgroup span="9" width="85"> </colgroup>
 Gray Level 0 1 2 3 4 5 6 7 Number of pixels 200 300 500 350 250 0 0 0
(10 marks) 3 (a) A source emits 6 symbols with the following probabilities
<colgroup span="7" width="85"> </colgroup>
 Symbol A B C D E F Probability 0.1 0.2 0.05 0.05 0.35 0.25

Construct the Huffman code. Calculate the average code word length and coding efficiency
(10 marks)
3 (b) Perform region splitting and merging on the image segment shown below. Draw the quad tree. Briefly explain the method used. (10 marks) 4 (a) Calculate the Hadamard transform of the image segment,
$$\begin{matrix} f(x,y)= \end{matrix}\begin{bmatrix} 2 &3 &1 &4 \\2 &1 &1 &4 \\1 &3 &4 &4 \\3 &3 &2 &2 \end{bmatrix}$$
(5 marks)
4 (b) State and prove any two properties of 2DDFT.(5 marks) 4 (c) Obtain the 16 basis images of Hadamard transform.(10 marks) 5 (a) Given the 8 x 8 image segment, perform erosion using the strumming element shown:
 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1

Structuring element : <colgroup span="2" width="85"> </colgroup>
 1 1 1 1
(10 marks)
5 (b) With the help of a neat block diagram, explain the working of the homomorphic filter.(10 marks) 6 (a) What are chain codes? Obtain 4 connected and 8 connected chain codes for the boundary shown below: (10 marks) 6 (b) Explain in detail different types of data redundancies present in the digital images(10 marks)

### Write short notes on any four of the following:

7 (a) Opening and closing(5 marks) 7 (b) Colour models(5 marks) 7 (c) Finger print recognition(5 marks) 7 (d) Digital water marking(5 marks) 7 (e) Handwritten character recognition.(5 marks)