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## Image Processing - Dec 2012

### Information Technology (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)** Classify the following DT system on linearity, time in variance causality

(i) y(n)=nX(n)

(ii) y(n)=e^{x(n)}

(iii) y(n)=x^{(2n)}(5 marks)
**1(b)** Consider the image given below. Calculate the direction of the edge at the centre of point of the image

(5 marks)
**1(c)** Show that the first difference of its chain code normalizes to its rotation.(5 marks)
**1(d)** Prove that two dimensional DFT matrix is an unitary matrix.(5 marks)
**2(a)** Find convolution of the two sequences

x(n)= {<u>1</u>,2,3}

h(n)={<u>1</u>,0.5}(4 marks)
**2(b)** Find the energy of the signal x(n)

(6 marks)
**2(c)** A particular digital image with 8 quantization level has following histogram. Perform the histogram equalization

(10 marks)
**3(a)** What is morphology? Name and explain the basic operations in morphology.(10 marks)
**3(b)** For the 3-bit 4X4 image perform the following operation:-

(i) Negative

(ii) Thresholding with T=4

(iii) Intensity level slicing with background r_{1}=2 & r_{2}=5

(iv) bit-plane slicing for msb & lsb

(v) Clipping with r_{1}=2 & r_{2}=5

(10 marks)
**4(a)** Find 8 point DFT of x(n)

(10 marks)
**4(b)** Find the linear convolution of input f(x,y) with filter h(x,y).

(10 marks)
**5(a)** Find 4 point DFT X[k] using Fast fourier transform flowgraph.

(4 marks)
**5(b)** Explain one level Decomposition and Reconstruction of Digital Image using Discrete Wavelet Transform.(6 marks)
**5(c)** Find the arithmetic codeword of the message: INDIA

Calculate the percentage of compression and the Bits Per Pixel (BPP) of the compressed message.(10 marks)
**6(a)** Given an input image f of size 3x3. Find the filtered image using median filter mask as given below:

(10 marks)
**6(b)** Write a note on DCT and its applications . Find DCT of the given 4x4 image

(10 marks)

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

**7(a)** Copyright marking(5 marks)
**7(b)** Lossy image compression(5 marks)
**7(c)** Handamard Transform.(5 marks)
**7(d)** Content Based Image Retrieval (C.B.I.R)(5 marks)
**7(e)** Region based segmentation(5 marks)