Mirror anamorphosis is a distorted projection that a viewer sees as a normal undeformed image when reflected .
This Demonstration deals with the artist's process: given a realistic 3D surface, make a new surface of the deformed, anamorphic image as reflected in the cylindrical mirror. The surfaces used are parametric surfaces defined by the built-in Mathematica function ParametricPlot3D.
The technique of 3D cylindrical anamorphosis is used by many graphic artists .
In this Demonstration, the mirror is a circular right cylinder with radius parallel to the axis. The viewer's eye is at at a distance and a height .
A point of the object is reflected by the mirror toward the observer's eye. The light path forms equal angles with the normal vector , perpendicular to the cylinder at , the intersection with the cylinder of the view line between the viewpoint and the image point .
The viewer perceives the anamorphic point as the point . The artist makes the anamorphic point from the reflected point . Both and are in the same horizontal plane and at the same distance from .