Digital Image Processing Nptel Week 2 Answers

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Digital Image Processing Nptel Week 2 Answers
Digital Image Processing Nptel Week 2 Answers

Digital Image Processing Nptel Week 2 Answers (July-Dec 2025)

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Q1. Speech signal has a bandwidth of 6 KHz. If every sample is digitized using § bits and the digital speech is to be transmitted over a communication channel, what is the minimum bandwidth requirement of the channel?
a) 16 Kbps
b) 32 Kbps
c) 64 Kbps
d) 96 Kbps

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Q2. Which of the following option is true?
a) only 1
b) only 3
c) both 2 and 3
d) all 1, 2, 3

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Q3. Compute the Euclidean Distance (D₁), City-block Distance (D₂), and Chessboard distance (D₃) for points p and q, where p = (5, 2) and q = (1, 5). Give answer in the form (D₁, D₂, D₃):
a) (5, 6, 4)
b) (5, 7, 4)
c) (7, 5, 4)
d) (5, 4, 4)

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Q4. Consider a 2-D point [2, 5]. Perform a scaling operation in x-axis by 3 units and in y-axis by 7 units. What will be the output?
a) [6, 35]
b) [10, 2]
c) [6, 6]
d) None of the above

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Q5. Consider a 3-D point [5, 5, 5]. Perform a scaling operation in both x-axis and y-axis by 5 units. What will be the output?
a) [10, 10, 5]
b) [10, 10, 10]
c) [25, 25, 5]
d) None of the above

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Q6. Consider two 8-bit images f₁ = (50, 55, 75) and f₂ = (50, 70, 230). The addition and subtraction of images are given by f₁ + f₂ and f₁ − f₂. What is the result?
a) f₁ + f₂ = (100, 125, 255); f₁ − f₂ = (0, 0, 0)
b) f₁ + f₂ = (100, 125, 255); f₁ − f₂ = (0, 0, 20)
c) f₁ + f₂ = (105, 125, 255); f₁ − f₂ = (5, 0, 125)
d) f₁ + f₂ = (100, 125, 230); f₁ − f₂ = (0, 0, 20)

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Q7. In formula g(x,y) = T[f(x,y)], T is the
a) Transformed image
b) Transformation vector
c) Transformation theorem
d) Transformation function

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Q8. Consider an image point [1,1]. Rotation of the image point around the origin by 45° in anticlockwise direction is given by:
a) [0, √2]
b) [0, 2.77]
c) [1, 2√2]
d) [1, √2]

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Q9. Consider a 3-D point [5, 5, 5]. Perform a shifting operation in both x-axis and y-axis by 5 units.
a) [10, 10, 5]
b) [10, 10, 10]
c) [25, 25, 5]
d) None of the above

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Q10. The output of an image sensor takes values between 0.0 and 10.0. If it is quantized by a uniform quantizer with 256 levels, what will be the transition (tₖ) and reconstruction level (rₖ)?
a) tₖ = k/256, k = 1,2,…,257; rₖ = tₖ, k = 1,2,…,256
b) tₖ = k/256, k = 1,2,…,257; rₖ = tₖ − ΔL, k = 1,2,…,256
c) tₖ = k/256, k = 1,2,…,257; rₖ = tₖ + Δk, k = 1,2,…,256
d) tₖ = k/256, k = 1,2,…,257; rₖ = tₖ + k, k = 1,2,…,256

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