Convex Hull

The convex hull of a set of points is the smallest convex polygon that contains all the points. It is a fundamental concept in computational geometry used to represent the outer boundary of a point set. Algorithms for computing convex hulls are widely applied in computer graphics, pattern recognition, and geographic information systems.

Also known as: Convex envelope, Convex closure, Hull, Convex polygon, CH

Why learn Convex Hull?

Developers should learn convex hull algorithms when working on problems involving shape analysis, collision detection, or spatial data processing. It is essential for tasks like finding the outermost points in a dataset, simplifying complex shapes, or optimizing path planning in robotics and game development.

Learning Resources

• tutorial: Convex Hull Algorithms - GeeksforGeeks
• docs: Convex Hull - Wikipedia
• book: Computational Geometry: Algorithms and Applications
• video: Convex Hull Visualization - YouTube
• tutorial: Convex Hull in Python - Real Python