Journal for Geometry and Graphics 17 (2013), No. 2, 213--222
Copyright Heldermann Verlag 2013
The Generalization of Szabó's Theorem for Rectangular Cuboids and an Application
József Szabó
Faculty of Informatics, University of Debrecen, P.O.Box 12, 4010 Debrecen, Hungary
szabo.jozsef@unideb.hu
Roland Kunkli
Faculty of Informatics, University of Debrecen, P.O.Box 12, 4010 Debrecen, Hungary
The reference system of central axonometry is based on the planar image of a three-dimensional cube. Szabó's Theorem provides a criterion on when this reference system is the central projection of a cube. However, it is more likely that in a picture or photo the image of a rectangular cuboid can be found than the image of a cube. This article provides the criterion on when the central axonometry of a rectangular cuboid with given dimensions is the central projection of a rectangular cuboid.
Keywords: Central projection, central axonometry, image processing, 3D reconstruction.
MSC: 51N05; 94A08
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