NPTEL Computer Vision Week 2 Assignment Answers 2024
1. A possible equivalent representation of a 2D point (1, 3) in ๐ 2 after projecting onto ๐2 is
a) (3, 6, 3)
b) (6, 18, 6)
c) (4, 16, 4)
d) (6, 12, 6)
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2. Find the transformation of the line 2๐ฅ โ 5๐ฆ + 3 = 0.
a) 2๐ฅ โ ๐ฆ โ 4 = 0
b) 4๐ฅ โ 1.5๐ฆ โ 4.5 = 0
c) 4๐ฅ + ๐ฆ โ 5 = 0
d) 2๐ฅ โ 0.5๐ฆ + 4.5 = 0
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3. Find the transformation of the point ๐(2, 0, 1).
a) ๐(4, 3, 1)
b) ๐(2, 1.5, 1)
c) ๐(2, 3, 1)
d) ๐(3, 4, 1)
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4. Compute the line passing through the points (3, 2) and (6, 0).
a) โ3๐ฅ + 2๐ฆ + 1 = 0
b) โ2๐ฅ + 5๐ฆ + 12 = 0
c) โ5๐ฅ โ 2๐ฆ + 1 = 0
d) 2๐ฅ + 3๐ฆ โ 12 = 0
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7. Which of the following statements are true?
a) The degree of freedom for similarity group is 4 (1 scale, 2 rotation, 1 translation).
b) The circular points are fixed points under the projective transformation ๐ป if and only if ๐ป is a similarity.
c) A conic remains a conic under homography.
d) Any square matrix can be decomposed as a product of an orthogonal matrix and an upper triangular matrix.
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8. Given two lines ๐ = 2๐ฅ + ๐ฆ โ 3 = 0 and ๐ = 3๐ฅ โ 2๐ฆ + 1 = 0 meet at a point ๐. Find the Euclidean angle between these two lines. Answer should be in nearest degrees. Discard the decimal values.
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