Question 5125 – UGC NET CS 2018 JUNE Paper-2
December 1, 2023UGC NET CS 2018 JUNE Paper-2
December 1, 2023Question 5126 – UGC NET CS 2018 JUNE Paper-2
Consider the matrix
representing a set of planar (2D) geometric transformations in homogeneous coordinates.
Which of the following statements about the matrix M is True ?
Correct Answer: B
Question 10 Explanation:
Scale Matrix:
The scale matrix has all the same zeros as the identity matrix, but it doesn’t necessarily keep using the ones across the diagonal. You are trying to decide how to scale your coordinate, and you don’t want the default scale value to be 1. Here is the scale matrix:
[
Sx 0 0 0
0 Sy 0 0
0 0 Sz 0
0 0 0 1
]
Translation Matrix
The translation matrix looks the same as the identity matrix, but the last column is a little different. The last column applies an amount of change for the x, y, and z coordinates:
[
1 0 0 Tx
0 1 0 Ty
0 0 1 Tz
0 0 0 1
]
The scale matrix has all the same zeros as the identity matrix, but it doesn’t necessarily keep using the ones across the diagonal. You are trying to decide how to scale your coordinate, and you don’t want the default scale value to be 1. Here is the scale matrix:
[
Sx 0 0 0
0 Sy 0 0
0 0 Sz 0
0 0 0 1
]
Translation Matrix
The translation matrix looks the same as the identity matrix, but the last column is a little different. The last column applies an amount of change for the x, y, and z coordinates:
[
1 0 0 Tx
0 1 0 Ty
0 0 1 Tz
0 0 0 1
]
M represents first, a scaling of vector (2, 1) followed by translation of vector (1, 1)
M represents first, a translation of vector (1, 1) followed by scaling of vector (2, 1)
M represents first, a scaling of vector (3, 1) followed by shearing of parameters (−1, 1)
M represents first, a shearing of parameters (−1, 1) followed by scaling of vector (3, 1)