Geodesic
The Generalization of Szabó's Theorem for Rectangular Cuboids and an Application
Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 213-222
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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.
Classification : 51N05, 94A08
Mots-clés : Central projection, central axonometry, image processing, 3D reconstruction 
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     author = {J. Szab\'o and R. Kunkli},
     title = {The {Generalization} of {Szab\'o's} {Theorem} for {Rectangular} {Cuboids} and an {Application}},
     journal = {Journal for geometry and graphics},
     pages = {213--222},
     year = {2013},
     volume = {17},
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J. Szabó; R. Kunkli. The Generalization of Szabó's Theorem for Rectangular Cuboids and an Application. Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 213-222. http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a7/