Thanks Frederick for your interest and nice compliment!
Here is an article that might interest you (unfortunately in French but with a lot of drawings, code and formulas...)
"Images dans un miroir sphérique" by Henri Bouasse
He treats about reflection in a sphere. It is clear from this article that the math and coding of reflection is way more complicated than anamorphism. Something I also realized during my "experiments".
This is one of his examples and he explains the math and geometry of reflection of spheres, cylinders, cubes, etc. in a special mirror.
