Learning system of the library opengl in 3D-Graphics usage

Abstract

The results and brief description of the developed software “Graf10”, which is used in the educational process, are presented. This software package is implemented in the programming language Visual C + + 2010 with the help of the open graphics library OpenGL. Special attention is given to perspective and orthographic projection, matrix projection and models, depth buffer management and overlay, lighting and shadows, textures, anti-aliasing and surface modeling. The article concentrates on mathematical basis of the tasks: multiplication, matrix transposition, the transition from one coordinate system to another, defining plane-given projection, etc. When working with curves and surfaces, authoring constructing Bezier curves and surfaces, polynomials in 2D and 3D graphics, and interpolating splines and Hermite splines, curves and surfaces based on B- spline are presented.