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SOURCE:    Almanac of Modern Science and Education. Tambov: Gramota, 2016. № 10. P. 10-12.
SCIENTIFIC AREA:    Technical Sciences
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USE OF BIRATIONAL TRANSFORMATIONS WITH BEAMS OF SELF-CORRESPONDING CONICS IN GEOMETRIC MODELING OF CURVES AND SURFACES
Borovikov Ivan Fedorovich, Beskrovnyi Dmitrii Vyacheslavovich, Yakovuk Oleg Anatol'evich
Bauman Moscow State Technical University
Abstract. Geometric modeling of technical objects is advantageously carried out on the basis of birational transformations. As such transformations one can use nonlinear involutions with one-parameter sets (beams) of self-corresponding curves of the second order. The method considered in the article can be used in designing technical curves within a wide range of shapes and characteristics, in designing curves data bank and in surfaces simulation.
Key words and phrases: бирациональные преобразования, самосоответсвенные кривые, однопараметрическое множество кривых, фундаментальные точки, порядок преобразования, пучки окружностей, birational transformations, self-corresponding curves, one-parameter set of curves, fundamental points, transformation order, beams of circles
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References:
  1. Borovikov I. F. Konstruirovanie sopryagayushchikh giperpoverkhnostei na osnove rassloyaemykh preobrazovanii: avtoref. diss. … k.t.n. M., 1985. 18 s.
  2. Borovikov I. F., Ivanov G. S. Geometricheskie preobrazovaniya v inzhenernoi geometrii // Nauka i obrazovanie: nauchnoe izdanie MGTU im. N. E. Baumana. 2015. № 5. S. 334-347.
  3. Ivanov G. S. Konstruirovanie tekhnicheskikh poverkhnostei (matematicheskoe modelirovanie na osnove nelineinykh preobrazovanii). M.: Mashinostroenie, 1987. 192 s.
  4. Ivanov G. S. Nachertatel'naya geometriya. M.: Izd-vo MGUL, 2012. 340 s.
  5. Savelov A. A. Ploskie krivye. M.: Fizmatgiz, 1960. 293 s.
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