1.6.4 Voronoi Diagrams

Problem Input | Problem Output

INPUT                    OUTPUT

Input Description: A set S of points p_1,...,p_n .

Problem: Decompose the space into regions around each point, such that all the points in the region around p_i are closer to p_i than any other point in S .


  • Fortune's 2D Voronoi diagram code (C) (rating 9)
  • Qhull - higher dimensional convex hull program (C) (rating 7)
  • LEDA - A Library of Efficient Data Types and Algorithms (C++) (rating 6)
  • Joseph O'Rourke's Computational Geometry (C) (rating 4)
  • The Stanford GraphBase (C) (rating 3)
  • Netlib / TOMS -- Collected Algorithms of the ACM (FORTRAN) (rating 3)

    Related Problems

  • Convex Hull
  • Nearest Neighbor Search
  • Point Location
  • Medial-Axis Transformation
  • Triangulation

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    This page last modified on Tue Jun 03, 1997 .