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Anamorphism

Anamorphism. Transformation Geometry. Anamorphism – Is when artists foreshorten and angle linear perspective to deform and change the scale of an object. The image becomes incomprehensible when viewed directly but resolves into a clear picture when looked at from a different vantage point.

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Anamorphism

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  1. Anamorphism Transformation Geometry

  2. Anamorphism – Is when artists foreshorten and angle linear perspective to deform and change the scale of an object. The image becomes incomprehensible when viewed directly but resolves into a clear picture when looked at from a different vantage point. There are two main types of anamorphism: perspective (oblique) and mirror (catoptric). Both perspectival and Mirror anamorphism date back to the Renaissance period. Perspectival anamorphism- requires the viewer to look at a picture from an unusual angle instead of standing in front of the painting and looking at it straight on. Mirror anamorphism - a conical or cylindrical mirror is placed on the drawing or painting to transform a flat distorted image into a three-dimensional picture that can be viewed from many angles. • Anamorphosis is a distorted projection or perspective requiring the viewer to use special devices or occupy a specific vantage point to reconstitute the image

  3. Perspectival anamorphism

  4. Mirror anamorphism

  5. Where is the Math in Mirror Anamorphosis • Find equation for surface • Define vector from viewer to pixel • Find intersection • Calculate normal vector • Find reflection vector • Determine printing coordinates

  6. The Set-Up

  7. Finding the intersection

  8. Finding the intersection

  9. Finding the Normal Vector • A normal vector is a vector perpendicular to another object, such as a surface or plane. Often we refer to a unit normal vector as n.

  10. Finding the Reflection Vector • a Reflection is a mapping from a Euclidean space to itself. The image of a figure by a reflection is its mirror image in the axis or plane of reflection.

  11. Printing the Pixel

  12. Future work on anamorphs of 3D models will include investigating what can be done with conical and cylindrical anamorphs in combination with their respective reflecting surface and a ray tracing rendering. Anamorphic texture mapping might be interesting to persue also. Other collineations could be explored.

  13. Sources • http://www.thisiscolossal.com/tags/anamorphism/ • http://web.ebscohost.com.mu.opal-libraries.org/ehost/pdfviewer/pdfviewer?vid=6&sid=b351ca99-9517-4517-af56-cec4428566f7%40sessionmgr113&hid=123 • http://archive.bridgesmathart.org/2012/bridges2012-513.pdf • http://www.washacadsci.org/Activities/Capital%20Science/presentations/washpresentation.pdf • http://www.roserushbrooke.com/article-anamorphosis.html

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