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Journal for Geometry and Graphics 7 (2003), No. 2, 137--144
Copyright Heldermann Verlag 2003

An Algebraic Equation for the Central Projection

Arne Dür
Institut for Mathematics, University of Innsbruck, Technikerstr. 25, A 6020 Innsbruck, Austria, arne.duer@uibk.ac.at

A necessary and sufficient condition for a central-axonometric reference system to be the image of a positively oriented orthonormal frame under a central projection is given by a single complex equation. The presented equation is an analogon of the Gauss equation that characterizes the reference system of an orthogonal axonometry.

Keywords: central projection, central axonometry, Gauss equation.

MSC: 51N05.

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