All monocentric projections refer to a similar set of projective configurations; perspective, orthogonal, axonometry (both orthogonal and oblique) and even includes flat anamorphosis. There are also infinite combinations of isometric oblique axonometry, referred to as generic, defined by a projection plane which is not parallel to any of the three fundamental Cartesian planes: currently these projection options are not available in any CAD software. The key advantage of these projective configurations, essentially, is the ability to render as an isometric all possible representation, whatever the direction of projection, thus greatly expanding the possible forms of axonometric representation while maintaining the isometric axes. In this paper a fast algorithm is put forward for the detection of the 4x4 projective transformation matrix, useful for implementation in CAD software.

Algoritmo veloce per la definizione della matrice di trasformazione 4x4 per proiezioni assonometriche oblique generiche

TREVISAN, CAMILLO
2012-01-01

Abstract

All monocentric projections refer to a similar set of projective configurations; perspective, orthogonal, axonometry (both orthogonal and oblique) and even includes flat anamorphosis. There are also infinite combinations of isometric oblique axonometry, referred to as generic, defined by a projection plane which is not parallel to any of the three fundamental Cartesian planes: currently these projection options are not available in any CAD software. The key advantage of these projective configurations, essentially, is the ability to render as an isometric all possible representation, whatever the direction of projection, thus greatly expanding the possible forms of axonometric representation while maintaining the isometric axes. In this paper a fast algorithm is put forward for the detection of the 4x4 projective transformation matrix, useful for implementation in CAD software.
2012
AAVV
GEOMETRIA DESCRITTIVA E RAPPRESENTAZIONE DIGITALE Memoria e Innovazione - volume primo
9788865141595
Italiano
1
165
173
9
Nazionale
Kappa
Roma
ITALIA
CAD representation, Generic isometric oblique axonometry, Pohlke’s theorem, 4x4 transformation matrix.
Highlights: New method of representation for CAD software. Fast algorithm solving Pohlke’s theorem. Implementation of 4x4 projective transformation matrix.
none
2. Contributo in Volume::2.1 Contributo in Volume(Capitolo,Saggio)
Trevisan, Camillo
268
info:eu-repo/semantics/bookPart
1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11578/99719
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