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ENGINEERING GEOMETRY AND COMPUTER GRAPHICS

VARIATIONS OF ALGORITHMIZATIONS OF GEOMETROGRAPHIC MODELS OF TRIMETRIC PARALLEL MONOPROPTIONS

Vestnik MGSU 4/2017 Volume 12
  • Polezhaev Yuri Olegovich - Moscow State University of Civil Engineering (National Research University) (MGSU) Associate Professor, Associate Professor of Department of Descriptive Geometry and Graphics, Member of the International Union of Russian Artists, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.
  • Borisova Anzhelika Yurievna - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, Associate Professor of Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.

Pages 464-469

At all stages of the construction design, from conceptual searches to approving the project documentation development, images are important as monoprojections on which the construction basic forms are effectively and expressively shown. Studying the construction of such monoprojections is began even in the first year of higher education, and then they are used to perform term papers and the thesis design. Purpose of study is the choice of the preferred algorithm for solving the problem of constructing monometric projections of trimetric axonometries in the context of the mapping processe computerization, taking into account the form of the object and the conditions for its presentation. In the article, the methodology of the trimetric axonometry monoprojection formation is considered in conditions of the mapping processe computerization. The methods of the metric object point fixation can be selected under the following conditions: orthogonal coordination in the reference point planes; oblique dependence; mixed, i.e., ortho-oblique-angled coordination; they can also contain intermediate transformations for various simplifications. Problems of constructing trimetric axonometry monoprojections at the mapping processe computerization are considered. Since in such cases the number of parameters of the necessary geometrical transformation increases, it becomes possible to use various algorithms for solving the problem. Based on the undertaken studies, conclusions were drawn on possible transformations for obtaining a trimetric monoprojection model and greatly simplifying the solution of problems in the construction object design.

DOI: 10.22227/1997-0935.2017.4.464-469

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