ENGINEERING GEOMETRY AND COMPUTER GRAPHICS

SEQUENCE VARIANTS IN THE CONSTRUCTION OF THE CONFIGURATION OF DESARGUES

Vestnik MGSU 9/2016
  • Ivashchenko Andrey Viktorovich - Union of Moscow Architects 90/17 Shosseynaya str., Moscow, 109383, Russian Federation; ivashchenkoa@inbox.ru, Union of Moscow Architects, 7 Granatnyy per., Moscow, 123001, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Znamenskaya Elena Pavlovna - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 130-139

The article presents the results of the analysis to assess the multi-variant approaches to constructing the Desargues configuration which is the fundamental to projective geometry and projective graphics. From the practical point it is the basis for the theory of perspective and is widely used to solve various tasks, such as constructing shadows in perspective, a direct, incidentally out of the rich within the drawing of the vanishing point, etc. The authors present the algorithm of the possible variants of construction of the Desargues configuration using computer technologies. The computer implementation of theoretical provisions of separate aspects of projective geometry and graphics has previously been considered as applied to Johnson polyhedrons. As any other figure the configuration of Desargues may be constructed by different methods. The authors consider the choice of points and directs included into the configuration and different interpretations of the relations of the point. The considered algorithm of the possible variants of the Desargues configuration construction will allow widely using the configuration in design of complex architectural and design volumes, consisting of a series of simple overlapping forms, by means of modern computer technology.

DOI: 10.22227/1997-0935.2016.9.130-139

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