Treffer: Application of Mathematics in Computer Graphics

Computer graphics are based on mathematical methods that provide the ability to create, manipulate and visualize graphic objects. The article examines the main mathematical approaches used to implement graphic algorithms, including geometric models, linear algebra, trigonometric functions, numerical methods and algorithms for modeling physical processes. Particular attention is paid to affine transformations (shift, rotation, scaling), which are basic operations in the graphic environment, matrix representations of these transformations using homogeneous coordinates are considered, an example and tasks for self-testing are given. The practical significance of the study lies in the popularization of mathematical knowledge among schoolchildren, demonstrating their practical importance in the creation of modern technologies. This contributes to the integration of mathematical methods into the school curriculum and the formation of STEM competencies in students.