Voronoi Diagram Generator

Overview

The Voronoi Diagram Generator partitions the plane into regions where each point in a region is closest to a specific site. Add sites by clicking and watch the diagram update. Voronoi diagrams have applications in nearest neighbor search, facility location, and spatial analysis. The dual of a Voronoi diagram is the Delaunay triangulation.

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Tips

  • Each region contains all points closest to that site
  • Voronoi edges are perpendicular bisectors of site pairs
  • Applications: nearest facility location, weather interpolation, biology
  • Add sites to see regions dynamically update
  • Voronoi vertices are equidistant from 3+ sites
  • The dual graph is the Delaunay triangulation
  • Used in path planning to maximize clearance from obstacles