Projektion mapping within AE

Hello everyone,

i playing around with some video mapping with AE. I build a 3D cube in AE which consists out of 3 compositions.

i try to figure out how i can "map" a picture or video onto this comps, which will be not distorted

when you look at the cube from the right angel, like this:

i would like to have the parts of the picture in my three comps, already pre distorted, so that i can see the undistorted picture fom a specific angle.  Is this possible ?

sincerely

Roman