О студенческой научно-исследовательской работе на геометро-графических кафедрах

Abstract

The article summarizes the experience of managing student scientific work at the Departments of graphics of IGEU and RTU MIREA. Examples of topics of scientific and applied interest, the development of which can be conducted by undergraduate students, are given, the current state of development on these topics is given. As a result of attracting students to research, the following scientific results were obtained: the concept of a hyperfractal was introduced, the construction of hyperfractal sections by arbitrarily oriented planes, spheres was considered, the construction of a hyperfractal by adding iterative formulas was considered; an algorithm for visualizing imaginary extensions of complex shapes using computer graphics technologies is proposed, a four-dimensional space is used to model the complex plane, which is displayed using a hyperepure in the form of two three-dimensional orthogonal projections; the use of ordinary Bezier curves of the third order to represent quadratic and cubic parabolas, rational Bezier curves to represent general conical curves and ordinary Bezier curves is shown, as well as the representation of cubic splines using Bezier curves; experimental and analytical methods for constructing trajectories of points rigidly connected to the analogue of the Reulot triangle rotated in a frame of a given shape are considered; the concept of quasi-monograniers is formulated and considered on numerous examples, geometric cells of quasi-monograniers are described, an approach to constructing geometric cells bounded by congruent sections of curved surfaces is formulated and demonstrated; software geometric algorithms for constructing a driven centroid, according to a given leading and location of the axes of rotation for non-circular meshes are developed and implemented. The topics were formulated and an information reserve was created for future promising areas of research work of students at the department.