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Voronoi





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Georgi Feodossievitch Voronoï (in Russian: Георгий Феодосьевич Вороной) (April 28, 1868 – November 20, 1908) was a mathematician known for his Voronoi diagram which allows us to divide a surface into convex polygons.

In mathematics, a Voronoi diagram also called Voronoi decomposition or Voronoi partition is a particular decomposition of a metric space determined by the distances to a discrete set of objects in space, in general a discrete set of points.

How to draw a Veronoi diagram?

Just do the following:

- Connect each seed or point to its closest neighbours, forming a network of triangles (Delaunay)
- Draw all the perpendicular bisectors of the segments obtained, a perpendicular bisector is the line perpendicular to a segment and passing through its midpoint.
- Connect all the intersections of the perpendicular bisectors

Voronoi diagramme demonstration

Filter with voronoi and delaunay mosaic effect












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