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ENGINEERING GEOMETRY AND COMPUTER GRAPHICS

FEATURES OF COMPUTER IMPLEMENTATION OF CONSTRUCTING PLANAR DESARGUES CONFIGURATION

Vestnik MGSU 9/2015
  • Ivashchenko Andrey Viktorovich - Union of Designers of Moscow Candidate of Technical Sciences, designer, Union of Designers of Moscow, 90/17 Shosseynaya str., SFGA, room 206, 109383, Moscow, Russian Federation.
  • 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.

Pages 168-177

The authors present the main properties of the planar configuration of Desargues, which open the possibility of its widespread use in architectural design and the design of complex volumes, consisting of a series of simple overlapping forms. However, the computer implementation of Desargues configuration construction is associated with certain difficulties caused by the fact that the monitor can only discretely represent the graphical information. In this article we identified and analyzed the properties of Desargues configuration, the use of which allows overcoming these difficulties and solving the problem of the limited capacity of monitors in the development of complex architectural forms with the help of computer graphics. Along with this, the use of the allocated properties allows predicting complex effects of the perception of architectural forms, for example, the difference of perception of architectural objects near and afar with account for perspective distortion, and they are also the basis for the development of the algorithm of construction sequence during design.

DOI: 10.22227/1997-0935.2015.9.168-177

References
  1. Isaeva M.A., Martynyuk A.N., Matveev O.A., Ptitsyna I.V. Vvedenie v deystvitel’nuyu proektivnuyu geometriyu [Introduction to the Real Projective Geometry]. Moscow, MGOU Publ., 2010, 138 p. (In Russian)
  2. Vol’berg O.A. Osnovnye idei proektivnoy geometrii [Basic Ideas of Projective Geometry]. 4th edition. Moscow, URSS Publ., 2009, 192 p. (Nauku vsem! — Shedevry nauchno-populyarnoy literatury [Science to Everyone! — Masterpieces of Popular Scientific Literature]) (In Russian)
  3. Martynyuk A.N., Matveev O.A., Ptitsyna I.V. Elementy proektivnoy geometrii [Elements of projective geometry]. Moscow, MGOU Publ., 2010, 134 p. (In Russian)
  4. Zacharias M. Vvedenie v proektivnuyu geometriyu [Introduction into Projective Geometry]. Transl. from German. Moscow, URSS Publ., 2010, 90 p. (Fiziko-matematicheskoe nasledie: matematika (geometriya) [Physical and Mathematical Heritage: Mathematics (Geometry)]) (In Russian)
  5. Smirnov S.A. Proektivnaya geometriya [Projective Geometry]. Moscow, Nedra Publ., 1976, 176 p. (In Russian)
  6. Chetverukhin N.F. Proektivnaya geometriya [Projective Geometry]. 8th edition. Moscow, Prosveshchenie Publ., 1969, 368 p. (In Russian)
  7. Glagolev N.A. Proektivnaya geometriya [Projective Geometry]. 2nd edition, revised. Moscow, Vysshaya shkola Publ., 1963, 343 p. (In Russian)
  8. Gorshkova L.S., Pan’zhenskiy V.N., Marina E.V. Proektivnaya geometriya [Projective Geometry]. Moscow, URSS Publ., 2007, 168 p. (In Russian)
  9. Hartshorne R. Foundations of Projective Geometry. Ishi Press, 2009, 190 p.
  10. Busemann H., Kelly P.J. Projective Geometry and Projective Metrics. 2005, Dover Publications, 352 p.
  11. Baer R. Linear Algebra and Projective Geometry. 2005, Dover Publications, 336 p.
  12. Berger M. Geometriya : v 2-kh tomakh [Geometry : in 2 Volumes]. Transl. from French. Moscow, Mir Publ., 1984, vol. 1, 560 s. ; T. 2. 368 s. (In Russian)
  13. Hilbert D., Cohn-Vossen S. Anschauliche Geometrie. Springer; Auflage: 2. Aufl. 1996, 364 p.
  14. Young. J.W., Oswald V. Projective geometry. Boston Ginn, 1918, 370 p.
  15. Skiena S. Algoritmy. The Algorithm Design Manual. Springer; 2nd ed. 2008 edition, 730 p.
  16. Faux I.D., Pratt M.J. Computational Geometry for Design and Manufacture. Chichester, West Sussex, John Willey & sons, 1979, 331 p.
  17. Preparata F.P., Shamos M. Computational Geometry. An Introduction. 1985, Springer-Verlag New York, 398 p. DOI: http://dx.doi.org/ 10.1007/978-1-4612-1098-6.
  18. Ivashchenko A.V., Znamenskaya E.P. Konfiguratsiya Dezarga v arkhitekturnom i dizayn-proektirovanii [Configuration of Desargue in Architectural and Design Engineering]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 9, pp. 154—160. (In Russian)
  19. Gamayunov V.N. Proektivografiya. Geometricheskie osnovy khudozhestvennogo konstruirovaniya dlya aspirantov slushateley FPK i studentov khuzhozhestvenno-graficheskogo fakul’teta [Projectography. Geometric Foundations of Artistic Design for Postgraduate Students of FPK and Students of Artistic-Graphical Department]. Moscow, MGPI im. V.I. Lenina, 1976, 25 p. (In Russian)
  20. Ivashchenko A.V., Kondrat’eva T.M. Proektivograficheskiy analiz mnogogrannikov Dzhonsona [Analysis of Johnson’s Polyhedra Using Projective Geometry Techniques]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 5, pp. 226—229. (In Russian)
  21. Ivashchenko A.V., Kondrat’eva T.M. Avtomatizatsiya polucheniya proektivograficheskikh chertezhey tel Dzhonsona [Automatic Receipt of Projective Geometry Drawings of Johnson Bodies]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 6, pp. 179—183. (In Russian)

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