Journal for Geometry and Graphics 29 (2025), No. 1, 001--005
Copyright by the authors licensed under CC BY SA 4.0
Some Remarks on Arne Dür's Equation for Oblique Axonometry
Renato Manfrin
Dipartimento di Culture del Progetto, Università Iuav di Venezia, Italy
manfrin@iuav.it
This paper provides a derivation of A. Duer's necessary and sufficient condition for an axonometric reference system to be, up to a uniform scale factor, the parallel image of an orthonormal reference system. After that, simple formulas relating the uniform scale factor and the projection direction are given. Finally, A. Duer's condition is extended to the case of the Pohlke-Schwarz theorem.
Keywords: Oblique axonometry, Pohlke theorem, Duer's condition.
MSC: 51N10; 51N20, 51N05.
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