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Information × Registration Number 0219U004489, 0115U001250 , R & D reports Title "Development of geometric models of curves and surfaces, and software for constructing them". popup.stage_title Head Ustenko Sergiy Anatoliyovich, Registration Date 22-08-2019 Organization Mykolayiv State University popup.description2 The work is devoted to the development of geometric models of curves (plane and spatial) and surfaces, and on the basis of them the corresponding program code. Curved lines and surfaces are represented in natural parametrization using certain laws of curvature and torsion distribution (for spatial curves) from the arc length, and for surfaces - curvatures from the length of their main directions. Linear, quadratic, and cubic laws of curvature distribution are used to model curves, and linear and nonlinear laws of curvature distribution from their main directions are used in surface modeling. Unknown coefficients of these laws are determined by solving the problem of minimizing the deviation of intermediately obtained points from the given ones. Examples of visualization of simulated curves and surfaces practically confirm the efficiency of the developed methods for their modeling. Product Description popup.authors Борисенко Валерій Дмитрович Кузьма Катерина Теодозієвна Мельник Віктор Анатолійович Устенко Ірина Валеріївна Устенко Сергій Анатолійович popup.nrat_date 2020-04-02 Close