Mathematics of Projections

Explanation of Peculiarities

Sometimes people ask "Why have multiple coordinate systems?"
Answer: A common use of synthetic cameras is multiple views of the same object of interest
Adjusting the COP is hard (and making consequent adjustments in all other parameters is harder!)
But rotating the coordinate system is easy
Because COP (or DOP) is defined in coordinates, as are the front and back clipping planes, and the window on the view plane...
Rotating rotates the entire view about the VRP. If the VRP is near the center of the window, hence near the object of interest, this is convenient.

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