Easiest algorithm of Voronoi diagram to implement?

algorithm diagram voronoi
fireball003 picture fireball003 · Jun 10, 2009 · Viewed 84.2k times · Source

What are the easy algorithms to implement Voronoi diagram?

I couldn't find any algorithm specially in pseudo form. Please share some links of Voronoi diagram algorithm, tutorial etc.

Answer

rodion picture rodion · Jun 10, 2009

An easy algorithm to compute the Delaunay triangulation of a point set is flipping edges. Since a Delaunay triangulation is the dual graph of a Voronoi diagram, you can construct the diagram from the triangulation in linear time.

Unfortunately, the worst case running time of the flipping approach is O(n^2). Better algorithms such as Fortune's line sweep exist, which take O(n log n) time. This is somewhat tricky to implement though. If you're lazy (as I am), I would suggest looking for an existing implementation of a Delaunay triangulation, use it, and then compute the dual graph.

In general, a good book on the topic is Computational Geometry by de Berg et al.

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