In essence, I’d like the facade linework (shown in picture one) that takes up the entire “box” of surface one (picture 1) to be projected and scaled/distorted/warped so that it takes up the entire “box” of surface two (picture 2). Project and distort simultaneously across a non-planar surface, like a literal projector showing a slideshow from an angle onto a wall. Let me know if that is too vague, and I’ll try to elaborate 
Picture 3 is in wireframe to help with understanding of the geometry.
