algorithmic geometry

Algorithmic geometry is the study of using computer algorithms to solve geometric problems. It involves designing step-by-step procedures to analyze shapes, distances, angles, and spatial relationships efficiently. Applications include computer graphics, robotics, geographic information systems (GIS), and more, where accurate and fast geometric computations are essential. By translating geometric concepts into algorithms, it enables automated reasoning about space and forms, helping computers interpret, manipulate, and visualize the physical world with precision and speed.