Computer Vision Nptel Week 2 Assignment Answers
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Computer Vision Nptel Week 2 Assignment Answers (July-Dec 2025)
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Question 1. Consider two points in projective space p1(9, 27,3) and p2(28,49, 7). Find the line passing through the points p1 and p2 in 2D-space.
a) 2x − y − 15 = 0
b) 2x − y + 15 = 0
c) x + y − 15 = 0
d) w + y + 15 = 0
Question 2. Compute the transformed point of intersection of the straight lines −4x + 4y + 5 = 0 and x + 2y − 2 = 0 in R³.
a) p(−7, −8, 2)
b) p(28, −8, 8)
c) p(−7, −32, 2)
d) p(−7, 8, 8)
Question 3. The transformed point is given as p(4, 3, 1). Find the point before transformation.
a) p(6, 0, 1)
b) p(2, 1.5, 2)
c) p(2, 0, 1)
d) p(2, 0, −1)
Question 4. Find the vanishing line.
a) (−2, 1, 2)
b) RED
c) (2, 4, 2)
d) RAPD
Question 5. Given a line defined as l₁ = (−3, 4, 2), and homography H = [1 1 0; 0 1 0; 1 3 1]. What will be the vanishing point for lines parallel to l₁?
a) [1, 1, 7]
b) [3, 1, 6]
c) [7, 1, 7]
d) [0, 1, 0]
Question 6. Select correct option(s) which are true for an affine projection matrix represented by a 3 × 4 matrix Pₐ. (MSQ)
a) It has 11 independent parameters.
b) The last row can always be written in the form of (0, 0, 0, 1).
c) The camera center lies at the plane at infinity of the world coordinate system in P³.
d) A camera with a short focal length may be treated as an approximation to an affine camera.
Question 7. Given a homography H = [1 1 0; 0 1 0; 1 1 2]. Compute the transformation of dual conic C₂ under H.
a) [1 1 0; 1 0 1; 2 1 1]
b) [1 1 1; 1 1 0; 2 1 1]
c) [0 1 0; 1 2 1; 2 1 1]
d) [1 2 0; 1 1 0; 2 1 1]
Question 8. Which of the following statements are true for a vanishing point in the image plane of an optical camera-based imaging system?
a) The point is invariant to translation of the camera.
b) The point is invariant to rotation of the camera.
c) The point is invariant to zooming in of the camera.
d) The point is invariant to zooming out of the camera.
Question 9. Recollect Direct Linear Transform (DLT) algorithm for non-homogeneous equation Ah = 0. Choose the correct options.
a) Dimension of A = 2n × 9; Dimension of h: 9 × 1; Rank: 9
b) Dimension of A = 2n × 8; Dimension of h: 8 × 1; Rank: 8
c) If the origin of the plane lies on the vanishing line, unique solution exists.
d) If the origin of the plane lies on the vanishing line, no solution exists.
Question 10. Given two lines l(2, 1, 3) and m(1, 0, −2) meet at a point p. Find the Euclidean angle between these two lines. (Answer in nearest degrees)
These are Computer Vision Nptel Week 2 Assignment Answers