Blender off-axis projection

One can fit arbitrary rectangular plane to a given camera without changing camera location, but only by changing rotation, lens size and shift.

The script off-axis-projection.py does that.

It corresponds to manipulating tilt-shift lenses in real life.

Applications of off-axis rendering include:

Computer games; see Portal
Immersive virtual reality; see CAVE

Keywords: Off-axis projection, Oblique projection, tilt-shift lens

How to use

Open the blender file you want to use
Make a plane object to fit the plane of your interest (NOTE: plane aspect ratio should be identical to render aspect ratio!)
Go to scripting/Text Editor pane
Create a new file and copy paste the content of off-axis-projection.py
In last line, replace "CameraName" and "RectangleName" to the name of your camera and plane respectively.
Run script by pressing Run Script
???
Profit!