Cylindrical Anamorphosis of Some Popular Images

Mirror anamorphosis is a distorted projection that a viewer sees as a normal undeformed image when reflected [1].
This Demonstration deals with the artist's process: given a realistic image, make a drawing of the deformed, anamorphic image as reflected in the cylindrical mirror. The images and their parametric equations are taken from the rich collection in the Wolfram Language.
Points of the parametric plots are mapped to their anamorphic match in the - plane. These anamorphic points must coincide with the originals when reflected by the cylinder into the observer's eye in front of and above the cylinder.


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In this Demonstration, the mirror is a circular right cylinder with radius 1 parallel to the axis. The viewer's eye is at at a distance and a height .
A point of the anamorphic image is reflected by the mirror toward the observer's eye. The light path forms equal angles with the normal vector , perpendicular at to the cylinder. is the intersection with the cylinder of the view line between the viewpoint and the image point .
The anamorphic image is in the - plane, and the reflected image appears upright inside the cylinder in the plane . The viewer perceives the anamorphic points as points , and the artist will make anamorphic points from the reflected points .
[1] J. Britton. "Cylindrical Mirror Anamorphoses." Department of Mathematics, Camosun College, Victoria, BC, Canada.
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