9826

Conical Anamorphic Projection of Polar Plots

This Demonstration explores the anamorphic projection of polar plots.
The conical anamorphic projection of an image looks unrecognizable, but appears undeformed when seen from the top of a conical mirror. The mirror is placed in the middle of the projection, and the eye is assumed to be at infinity above the top of the cone.
The Demonstration shows the original (blue) image, its (red) anamorphic projection, the central conical mirror, and the projection path of a single point of the image.
Move a selected image around and animate the projection path to see the relationship between the image and its projection.

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DETAILS

The conical anamorphic projection of a point at as seen from infinity in a conical mirror with opening angle and base radius 1 is represented by the mapping .
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