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## Image Processing - May 2013

### 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.

### Slove any four question :-

**1 (a)** Show that :- Highpass=original-lowpass.(5 marks)
**1 (b)** Justify lossy compression is not suitable for compressing executable files.(5 marks)
**1 (c)** For 8-point DFT the first five DFT coefficients are-

x(k)=x{10, 2+3j, 1+2j, j, 4}

Find the remaining coefficients(5 marks)
**1 (d)** What is wavelet? Explain wavelet transform in brief (5 marks)
**1 (e) ** Compare and contrast between contrast stretching and threasholding.(5 marks)
**2 (a)** Perform the following operations on given signal :-

x(n)={1,2,3,4,5,}

(i) x(-n-1)

(ii) x(n-2) (iii) x(n+1)

(iv) x(-n+2)

(v) 2x(n).(10 marks)
**2 (b)** State and prove any four properties of DFT.(10 marks)
**3 (a)** Perform histogram stretching so that the new image has a dynamic range of[0,7]

Gray level : | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

No. of pixel : | 100 | 90 | 85 | 70 | 0 | 0 | 0 | 0 |

**3 (b)**Explain segmentation based on threasholding in detail.(10 marks)

**4 (a)**Explain various frequency domain low pass filters in detail.(10 marks)

**4 (b)**Obtain linear convolution of 2 signals given as -

x(n)=u(n)

h(n)=a

^{n}u(n), a<i.< a="">

</i.<></span>(10 marks)

**5 (a)**Give in detail classification of signals.(10 marks)

**5 (b)**For the given 3 bit, 4x4 size image perform the following operations-

(i) threasholding, (T=4)

(ii) intensity level slicing with background for r

_{1}=2, r

_{2}=5

Bit plane slicing for LSB and MSB planes

Negation

4 | 2 | 3 | 0 |

1 | 3 | 5 | 7 |

5 | 3 | 2 | 1 |

2 | 4 | 6 | 7 |

**6 (a)**What is Morphology? Name and explain basic operations in morphology.(10 marks)

**6 (b)**Find the Arithmatic codeword of message India. Calculate the pecentage of compression and bit/pixel of the compression message.(10 marks)

### Write short notes on (any four)

**7 (a)** Lossy Vs Lossless compression techniques(5 marks)
**7 (b)** Walsh transform(5 marks)
**7 (c) ** Discrete time system(5 marks)
**7 (d)** Sampling and Quantization(5 marks)
**7 (e) ** Digital watermaking.(5 marks)