Determine the perspective transformation matrix upon to z = 5 plane, when the center of projection is at origin.
Solution. As z = 5 is parallel to z = 0 plane, the normal is similar to the unit vector 'k'.
∴ (n_{1}, n_{2}, n_{3}) = (0, 0, 1)
And the Reference point is R_{0} (x_{0}, y_{0}, z_{0}) = (0, 0, 5)
d_{0} = n_{1}. x_{0} + n_{2}. y_{0} + n_{3}. z_{0}) = 5
We know here general perspective transformation, while cop is at origin is specified by: