Cabinet projection

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Cabinet projection or sometimes cabinet perspective is a type of oblique projection. The term stems from the use for illustrations in furniture industry. This projection has been used in early video games such as Paperboy and Pac-Mania.

Like cavalier perspective, cabinet projection is an oblique projection, where one face of the projected object is parallel to the viewing plane, and the third axis is projected as going off in an angle (typical 30° or 45°). Unlike cavalier projection, where the third axis keeps its length, with cabinet projection the length of the receding lines is cut in half.

Contents 1 Mathematical formula 2 Examples 3 See also 4 References 5 Further reading 6 External links

[edit] Mathematical formula

As formula, if the plane facing the viewer is xy, and the receding axis is z, then a point P is project like this:

Where α is the mentioned angle.

The transformation matrix is:

[edit] Examples

The figures to the left are orthographic projections. The figure to the right is an oblique projection with an angle of 30° and a ratio of 0.5.

Potting bench drawn in cabinet view.

[edit] See also

• Graphical projection
• Orthographic projection
• Oblique projection

[edit] References

This article does not cite any references or sources. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (March 2009)

[edit] Further reading

• Ingrid Carlbom, Joseph Paciorek, Planar Geometric Projections and Viewing Transformations, ACM Computing Surveys, v.10 n.4, p.465-502, Dec. 1978
• Foley, James (1997). Computer Graphics. Boston: Addison-Wesley. ISBN 0201848406. 

[edit] External links

Wikimedia Commons has media related to: Cabinet projection

• Illustrator Draftsman 3 & 2 - Volume 2 Standard Practices and Theory, page 68 from http://www.tpub.com