Customizable stereographic projection

I made a customizable version of henrysegs ingenious design that uses stereographic projection to project a grid from a sphere to a plane: http://www.thingiverse.com/thing:202774
You can simply upload an image with the size of 75x75 and it will be projected on a sphere and back again when a light source is added to the north pole.
There are some things to consider: You need to check if pixels are touching in just one point that lie diagonally to each other, this will result in failure to produce a manifold mesh, look at the illustration in the gallery. Black pixels indicate where material is added, so make sure all are connected, white pixels represent holes. I uploaded the input to generate the examples along the results rendered in blender, this should show how this works. (I uploaded zipped versions because Thingiverse resizes all images no matter what)
The level of detail is limited by the thickness of the walls, the thinner they are, the more detail will show up. In the c