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Which statement is true about matrix-based rigid and affine spatial transformati

ID: 3680798 • Letter: W

Question

Which statement is true about matrix-based rigid and affine spatial transformations?

a. The 3D Euler angle rotation matrices about X, Y, and Z can be applied in any order and always produce the same result.

b. Rotation and translation can be applied to a vector in any order and always produce the same result.

c. Homogeneous coordinates allow us to combine successive rotation and translation transformations by 4x4 matrix addition.

d. A scaling matrix consists of identical scaling factors along the diagonal of the top-left 3x3 submatrix and a final 1 in the bottom right diagonal element.

e. None of these statements are true.

Explanation / Answer

Answer :

c . Homogenous coordinates allow us to combine successive rotation and translation transformations by 4x4 matrix addition