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

1. Open the blender file you want to use
2. Make a plane object to fit the plane of your interest (NOTE: plane aspect ratio should be identical to render aspect ratio!)
3. Go to scripting/Text Editor pane
4. Create a new file and copy paste the content of off-axis-projection.py
5. In last line, replace "CameraName" and "RectangleName" to the name of your camera and plane respectively.
6. Run script by pressing Run Script
7. ???
8. Profit!