## NPTEL Computer Vision Week 9 Assignment Answers 2024

1. Consider the set of parametric equations x = t^{2} + 3t and y = 2t^{2} − 1 representing a 2D curve. Compute the tangent vector (x′(t), y′(t)) at t = 1

a) (5, 4)

b) (3, 2)

c) (1, 2)

d) (2, 2)

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2. Which of the following is true about Microsoft kinect sensor:

a) Uses infrared laser light with speckle pattern

b) If a point is at a higher depth from the sensor, it looks more blurry

c) Uses the principle of structured light

d) All of the above

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3. Consider the coefficients of first fundamental form are given by E = 5, F = 1, G = 3 and the coefficients of second fundamental form as e = 3, f = 7, g = 3. Compute the Gaussian curvature K.

a) −23/7

b) −20/7

c) −8/8

d) 23/4

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4. Choose the correct option:

a) Eight illumination levels are used in binary coding

b) n patterns must be projected in order to encode 2n stripes in space encoding

c) Every encoded point in binary encoding is identified by the sequence of occurrences that it receives

d) Every decoded point in space encoding is identified by the sequence of intensities that it receives

Answer :-

5. Consider a hyperbolic paraboloid represented as parametric surface x(u, v) = (u, v, uv) with u = 3t2 + 2t and v = 2t + 1, compute all of the first fundamental form coefficients at t = 2.

a) E = 128, F = 65, G = 257

b) E = 65, F = 257, G = 128

c) E = 256, F = 80, G = 27

d) None of these

Answer :-

6. Which of the following statements are not true for detection of edges in a range image?

a) Roof edge points are detected from zero crossings of Gaussian curvature.

b) Step edge points are detected from zero crossings of Gaussian curvature.

c) Step edge points are detected by the extrema of dominant principal curvature corresponding to its direction.

d) Roof edge points are detected by the extrema of dominant principal curvature corresponding to its direction.

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7. Consider the coefficients of first fundamental form are given by E = 2, F = 3, G = 7 and the coefficients of second fundamental form as e = 4, f = 0, g = 3. Compute the mean curvature H. (Answer upto 2 decimal places)

a) 4.25

b) 3.40

c) 3.25

d) 3

Answer :-

8. Which of the following are examples of active imaging?

a) Time-of-flight sensors

b) Triangulation-based sensors

c) Structured light

d) Stereo imaging

Answer :-

9. Which of the following uses laser radar (LADAR) sensors

a) Time-of-flight sensors

b) Triangulation-based sensors

c) Stereo imaging

d) Structured Light

Answer :-

10. Choose the correct options regarding Digital Neighborhood Planes (DNPs) for a 3D neighborhood of a point p:

a) Number of principal planes are 3

b) Number of diagonal planes are 6

c) Total number of digital neighborhood planes are 9

d) Total number of digital neighborhood planes are 8

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