Computer Vision Nptel Week 3 Assignment Answers
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Computer Vision Nptel Week 3 Assignment Answers (July-Dec 2025)
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Question 1. A projective camera P = 1350;21101 3 5 0; 2 1 1 0 images a 3D line L as (1, 2, 3). Compute the plane formed by projected line L and camera center.
a) (16, 14, 17, 0)
b) (8, 12, 12.5, 0)
c) (16, 24, 25, 0)
d) (1, 2, 2, 1)
Question 2. Consider a projection matrix P = 3010;−1130;20−113 0 1 0; -1 1 3 0; 2 0 -1 1, evaluate the camera centre in homogeneous coordinates.
a) (–1/3, 0, 1/3, 1)
b) (2/3, 0, –1/3, 1)
c) (–1/5, –2, 3/5, 1)
d) (0.5, 0, 0.5, 1)
Question 3. Find out the direction of principal axis of the camera with projection matrix P = 38–17;–2560;30013 8 –17; –25 6 0; 3 0 0 1.
a) (3, 0, 0)
b) (9, –2, 1)
c) (2, 0, 1)
d) (7, 0, 1)
Question 4. A pinhole camera has the following projection matrix:
800320;080240;001080 0 320; 0 80 240; 0 0 10. A 3D world point X = (2, 1, 5) meters. What are the image coordinates (x, y) of X?
a) (48, 32)
b) (64, 40)
c) (32, 24)
d) (40, 72)
Question 5. Consider camera projection matrix P = 7430;1560;15607 4 3 0; 1 5 6 0; 1 5 6 0. Two image points x₁ = (2, 5), x₂ = (7, 9), and camera center O. Find the unit normal to plane Ox₁x₂.
a) (–0.70, 0.70, 0.16)
b) (0.26, 0.65, 0.71)
c) (0.20, 0.50, 0.84)
d) (0.38, 0.86, 0.126)
Question 6. Consider a camera-centric world coordinate system with the image plane parallel to the principal plane and its x and y coordinate axes are parallel to those of the world coordinate system. If the principal point is located at (3, 5) in the coordinate system of the image plane, what would be the projection matrix of a pinhole camera with focal length f = 97?
a)
900350;090350;001090 0 350; 0 90 350; 0 0 1 0
b)
90030;0950;001090 0 30; 0 95 0; 0 0 1 0
c)
30300;0350;000030 30 0; 0 35 0; 0 0 0 0
d)
30230;0350;001030 23 0; 0 35 0; 0 0 1 0
Question 7. Given the homography matrix:
H = 135;437;5421 3 5; 4 3 7; 5 4 2
Choose the correct option from the given ones.
a) H is singular.
b) H is invertible.
c) H maps a point in P² to ℝ².
d) H maps a point in P² to P².
Question 8. Given a projection matrix P = 1030;2150;30–1110 3 0; 2 1 5 0; 3 0 –1 1, compute the vanishing point of a line in image coordinates with direction ratio 4:3:2.
a) (1, 15)
b) (12, 1)
c) (15, 12)
d) (1.33, 3.33)
Question 9. Find out the principal point in 2D real space and principal axis vector of the camera matrix
P = –36–80;2570;1201–3 6 –8 0; 2 5 7 0; 1 2 0 1
a) (–3, 2.4), k(1, 2, 0)
b) (0, 2), k(2, 0, 3)
c) (2, 2), k(2, 0, 1)
d) (0, 0), k(2, 0, 2)
Question 10. Which of the following conditions are true for a homography caused by pure rotation of a camera around its center?
a) The homography can be expressed as H = K R K⁻¹
b) The vanishing line is the intersection of the image plane with a plane through the camera center and parallel to the scene plane
c) The vanishing line depends on the position of the camera but not its orientation
d) The camera undergoes translation but not rotation
These are Computer Vision Nptel Week 3 Assignment Answers