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Voronoi Diagram

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Encyclopedia of GIS
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Synonyms

Dirichlet tessellation; Thiessen polygons; Voronoi tesselation

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.

Voronoi Diagram, Fig. 1
figure 2333 figure 2333

An example of the Voronoi Diagram (Development Core Team 2004)

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References

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Kang, J.M. (2017). Voronoi Diagram. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_1461

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