Mathematics of Projections

The Perspective Case

We will only do the non-oblique case
Decomposes into multiple steps
Each step defined by a matrix transformation
The product of these matrices defines the whole transformation in one, more complex, matrix
Steps are:
Get the eye to the origin
Rotate the view around so that is aligned with
Adjust the z scale so that the front clip plane lies at
Adjust the x and y scales so that the window goes from -1 to 1 in and