Inspired by Sir Ridley, I thought to myself, What if I projected the image of the Death Star into a proper sphere that had the correct volumes of the superlaser, the trench, and the cuts in the surface as the Death Star II?
Here is a broad test. It allows you to move the view slightly. At some point you start seeing the trick, but it could be a nice tool to get static different points of views (by reparing the image a little) or to get slight movement like Sir Ridley suggested.
This is pretty cool. The only things you have to keep an eye on though are the shadows (which don’t move) and the lights (which appear to move independently of the place they should be attached).