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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.
Answer any four
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.
Gray Level | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Number of pixels | 200 | 300 | 500 | 350 | 250 | 0 | 0 | 0 |
<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 |
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)