Geometric principles of constructing 3D models

Abstract

The article examines geometric principles of three-dimensional modeling in computer graphics. It focuses on polygonal representation, topological analysis, and subdivision methods for creating smooth and detailed surfaces. Constructive solid geometry allows combining simple primitives into complex objects. Spatial transformations enable controlling position, orientation, and scale. These approaches ensure efficient rendering and high computational performance. The article provides an overview of fundamental techniques used in modern 3D modeling workflows.