With pericentric lenses objects at larger distances appear larger(!) and objects at closer distances appear smaller.
Perizentric lenses allow for example to view a can from top and the sides at the same time.
This reverses our normal viewing experience.
Pericentric lenses got to be MUCH larger than the object under inspection.
The rotation of the cylinder is not known, so we would need a lens that can look from all sides “outside-in” at the correct angle.
Solution: DIY with the help of a Fresnel Lens, a normal M12 lens and the graphic calculator below …