Cavalier perspective - Wikipedia, the free encyclopedia
Cavalier perspective - Wikipedia, the free encyclopedia
Cavalier perspective - Wikipedia, the free encyclopedia
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<strong>Cavalier</strong> <strong>perspective</strong> - <strong>Wikipedia</strong>, <strong>the</strong> <strong>free</strong> <strong>encyclopedia</strong>http://en.wikipedia.org/wiki/<strong>Cavalier</strong>_<strong>perspective</strong>2 of 2 11/15/07 8:24 AMMa<strong>the</strong>matical aspectsIf <strong>the</strong> plane that faces <strong>the</strong> reader is xz and <strong>the</strong> "vanishing direction" is <strong>the</strong> y axisand its angle is •, <strong>the</strong>n a point in <strong>the</strong> space with coordinates (x, y, z) isrepresented on <strong>the</strong> flat figure by a (x", y") point, with:x" = x + cos ••y ;y" = z + sin ••y.The transformation matrix isFor example, for an angle 30° and a ratio 0.7:x" = x + 0.35•y ;y" = z + 0.61•y ;How <strong>the</strong> coordinates are usedto place a point on a cavalier<strong>perspective</strong>and for an angle 45° and a ratio 0.5:x" = x + 0,35•y ;y" = z + 0,35•y ;References1.2.3.4.^ Illustrator Draftsman 3 & 2 - Volume 2 Standard Practices and Theory, page 67(http://www.tpub.com/content/draftsman/14276/css/14276_307.htm) from http://www.tpub.com^ Ingrid Carlbom, Joseph Paciorek, Planar Geometric Projections and Viewing Transformations, ACMComputing Surveys (CSUR), v.10 n.4, p.465-502, Dec. 1978^ Etymologie des maths, letter C (http://trucsmaths.<strong>free</strong>.fr/etymologie.htm#C) (French)^ DES QUESTIONS D’ORIGINES (http://mapage.noos.fr/r.ferreol/langage/notations/notations.htm)(French)Fur<strong>the</strong>r readingFoley, James (1997). Computer Graphics. Boston: Addison-Wesley. ISBN 0201848406.Retrieved from "http://en.wikipedia.org/wiki/<strong>Cavalier</strong>_<strong>perspective</strong>"Categories: Descriptive geometry | Technical drawing | Perspective projectionThis page was last modified 23:45, 26 September 2007.All text is available under <strong>the</strong> terms of <strong>the</strong> GNU Free Documentation License. (See Copyrights fordetails.)<strong>Wikipedia</strong>® is a registered trademark of <strong>the</strong> Wikimedia Foundation, Inc., a U.S. registered 501(c)(3)tax-deductible nonprofit charity.