Cylindrical Mirror Anamorphosis

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration explores the cylindrical mirror anamorphosis of polar curves. When seen at a distance, the cylindrical anamorphic projection of an image appears undeformed in a cylindrical mirror placed in its center.

Contributed by: Erik Mahieu (August 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

In this Demonstration, the cylindrical mirror has radius 1 and height 3. The viewpoint is located at . The reflected image is seen in the polar plane of the viewpoint. This image pane is perpendicular to the axis and at a distance of 1/10 from the axis.

The geometry and mathematics of this projection are covered in [1] and [2].

References

[1] J. Drabbe and C. Gabriel-Randour. "Descriptive Geometry and Anamorphosis." (Aug 29, 2012) users.skynet.be/mathema/eng.htm.

[2] D. Spickler and J. Bergner. "Cylinder Reflections: The Mathematics behind the Images." (Aug 29, 2012) facultyfp.salisbury.edu/despickler/personal/Resources/TechnologyWorkshops/ScienceNight2011/ScienceNightSU.pdf.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send