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Voronoi Diagram

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Encyclopedia of GIS

Synonyms

Voronoi tesselation; Dirichlet tessellation; Thiessen polygons

Definition

In general, this method decomposes a set of objects in a spatial space to a set of polygonal partitions. Figure 1 shows an example of a Voronoi Diagram where each object (denoted by a dot) is placed in a separate polygon. Formally, for any set of objects o in a two- or three-dimensional space, a polygonal shape surrounds the object such that approximately any point p in the polygon is closer to its generated object than any other generated object.

Figure 1
figure 1

An example of the Voronoi Diagram [1]

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Recommended Reading

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© 2008 Springer-Verlag

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Kang, J. (2008). Voronoi Diagram. In: Shekhar, S., Xiong, H. (eds) Encyclopedia of GIS. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35973-1_1461

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