Three-dimensional rotations in computer graphics

Question

Describe the general 3-dimensional rotations in computer graphics?

Answer 1

The general 3-dimensional rotations in computer graphics are as follows:

a) Transformation sequences

b) P’ = T’.Rx (θ) .T.P

c) Rotation in steps:

•    Transform the object which rotates in the parallel coordinate axis.
•    Rotate the object through one coordinate axis.
•    Apply the inverse rotation to its novel position.
•    Apply the inverse translation to its novel position.

d) V = p2 – p1

e) After rotation to the original position: R(θ) = T’.M.T