3-Dimensional Transformation:

3-D transformations are the extension of 2-D transformation. In this section, we are going to described:

1.      3-D translation

2.      3-D Scaling

3.      3-D Rotation in detail

3-Dimensional Translation

It is an extension of the 2-D translation transformation:

which gives     x′ = x + T_x

                       y′ = y + T_y

                      z′ = z + T_z

For an inverse translation in 3-D, replace T_x with - T_x, T_y with - T_y, and T_z with - T_z. Then T (T)^{- 1} = 1 (identity matrix).