Journal for Geometry and Graphics Vol. 4, No. 1, pp. 55–69 (2000) 

Projection from 4D to 3DSvatopluk Zacharias, Daniela VelichovaFaculty of Applied Sciences, West Bohemian UniversityUniverzitni 22, CZ 306 14 Plzen, Czech Republic email: velichov@sjf.stuba.sk Abstract: The aim of this paper is to give a survey on analytic representations of central and orthographic projections from R^4 to R^3 or R^2. There are discussed various aspects of these projections, whereby some special relations were revealed, e.g., the fact that homogeneous coordinates or barycentric coordinates in R^3 can be obtained by applying particular projections on a point with given cartesian coordinates in R^4. We would also like to demonstrate that by projecting curves or 2surfaces of R^4 interesting shapes in R^3 and R^2 can be obtained. Classification (MSC2000): 51N20; 51N05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 14 Mar 2002. This page was last modified: 10 May 2013.
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