“Virtual screens” in 3D engines (displaying on a wall another portion of the 3D world)

Question

To clarify the technical problem i have, i want to describe the scene i have in mind:

In a 3D computer simulation, I want to build a kind of cabin (cube form) that stands isolated in a large plane. There's 1 door to enter the cabin. Next to this door I want to show a movie playing (avi file or something) on the wall of the cabin. If you enter the cabin, on all 4 sides I want to show a virtual 3D landscape projection that is based on the input of the video projected outside: every pixel in the video will be represented as a cube (rgb -> height width depth). The resulting landscape of cubes needs to be projected on the inside walls of the cabin. And as a user, you will not be able to walk into this projection (it's a virtual window, not a portal).

Technically, for me this translates into these questions: i want to

1. display a movie inside the 3D world on a wall

2. access the pixel data of this movie

3. transform on the fly these pixels into 3D representation of cubes

4. show these cubes as a virtual projection on a wall in the game. (as a kind of visual teleport that you can't cross)

I was wondering which 3d engine would allow this? I don't mind any programming language. I'm fluent in mono/.net or java, but i can manage c++ or other languages (as long as the engine is well documented).

Kind Regards, Ruben.

ps: I don't know if this question is of interest to anybody else. At least not in the functional kind of way. But maybe it triggers a hypothetical interest :)