I would like to know if it's possible to find the orientation of a "orthogonally projected" object without knowing any of the foreshortening factors?
Let me explain. I have a image of a cube. I don't know the true measurement of this cube (in fact, it may not be a cube...). The only valid measures I have are the angles of the corner facing me (see this image to know what I'm talking about http://upload.wikimedia.org/wikipedia/en/4/4c/Axonometric_projections.png ) With those angles, I would like to extract the true (in 3D) rotation in X and Y of the cube and, for example, be able to place another object in the right angle side by side with this cube.
I've been working on this problem since 2 days and I can't get a valid answer. That's why I need your help.