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✅ Subject: Computer Vision
📅 Week: 7
🎯 Session: NPTEL 2025 July-October
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NPTEL Computer Vision Week 7 Assignment Answers 2025
1. Find KL divergence between A and B with probability distribution (0.2, 0.3, 0.15, 0.12,0.05) and (0.3, 0.4, 0.05, 0.2, 0.15) respectively.
a) 0.0129
b) -0.158
c) 0.1188
d) None of the above
Answer : See Answers
2. Which of the following are TRUE about SIFT?
(a) Uses Difference of Gaussians (DoG) for scale-space extrema detection.
(b) Creates 256-dimensional descriptors by default.
(c) Performs orientation assignment using 8-bin histograms.
(d) Is invariant to affine transformations up to 60° viewpoint changes.
Answer :
3. In RANSAC, if 50% of the data points are inliers, what is the minimum number of trials required to ensure a 99% probability of selecting at least one outlier-free sample of 2 points?
a) 7
b) 17
c) 23
d) 35
Answer :
4. Consider points in 2D plane (3, 6), (17, 15), (13, 15), (6, 12), (9, 1), (2, 7), (10, 19). After building a 2D binary search tree following the given order, which is the leaf node in the right most part of the tree.
a) (17,15)
b) (3,6)
c) (17,19)
d) (10, 19)
Answer :
5. Which of the following are invariant properties of SIFT descriptors?
a) Scale invariance
b) Rotation invariance
c) Illumination invariance
d) Affine distortion invariance
Answer :
6. The covariance matrix of a dataset is C. Which of the following statements are true? (MSQ)
(a) The determinant of C provides the total variance of the data.
(b) The sum of diagonal elements of C provides the total variance of the data.
(c) The sum of eigenvalues of C provides the total variance of the data.
(d) The trace of C provides the total variance of the data.
Answer : See Answers
7. Consider two points a = (1,2) and b = (3, 4) in image space, compute two lines corresponding to them in parameter space.
a) c=-m + 2 and c = -3m + 4
b) c= -m + 2 and c = -3m + 2
c) c = -m + 3 and c = -3m + 5
d) c= -m + 1 and c = -3m + 1
Answer :
8. Calculate cosine similarity between [3, 2, 1, 2, 5] and [3, 2, 8, 5, 4].
a) 0.584
b) 0.851
c) 0.716
d) 0.917
Answer :
9. Using the method of least squares, find an equation of the form y = ax + b that fits the data given as (x, y) coordinates. [(8, 3), (2, 10), (11, 3), (6, 6), (5, 8), (4, 12), (12, 1), (9, 4), (6, 9), (1, 14)]
a) y = —1.1x + 14.1
b) y = -1.6x + 14.1
c) y = -1.1x + 4.2
d) y = 4.1x + 11.0
Answer :
10. For the data points [(0, 1), (1, 3), (2, 5)] [(0, 1),(1, 3), (2, 5)], what is the predicted y-value at x = 3 using the least squares line?
a) 9
b) 12
c) 3
d) 7
Answer : See Answers


