Fortune's Algorithm

Fortune's Algorithm is a method used to efficiently find the boundaries of a group of points on a plane, such as the quickest way to determine the edges of a cluster of cities or landmarks. By constructing a "beachline," the algorithm incrementally adds sites, creating parabolic arcs that represent areas influenced by each point. As new points are added, the arcs are adjusted dynamically to maintain an accurate outline. This approach allows for the fast and precise creation of Voronoi diagrams, which can help in applications like urban planning, resource allocation, and geographical analysis.