Computational geometry is the study of algorithms for solving geometric problems, such as finding convex hulls, intersections, and nearest points. It provides foundational techniques for computer graphics, robotics motion planning, geographic information systems, and computer-aided design.
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- Computational geometry develops efficient methods for problems defined over points, lines, polygons, and higher-dimensional shapes. Classic results address convex hulls, triangulation, intersection detection, and proximity queries.
- The field provides building blocks for computer graphics, robot motion planning, geographic information systems, and computer-aided design. Algorithmic efficiency matters because geometric problems can involve large numbers of primitives.