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Chapter 101: Voronoi Diagrams
Voronoi diagrams are a common geometrical space tessellation that allows the combination of location information and other store attributes, with spatial consumer behaviour, to generate influence or trade areas. Influence or catchment area describes an area around a potential site from where a store is likely to draw most of its clients. Trade or market area describes a similar area but for stores already existent, for which it is possible to define polygons with some confidence, using surveys or frequent customers’ cards.
Although Voronoi diagrams, also denominated Dirichlet tessellations, are traditionally attributed to pioneer mathematicians such as Georgy Fedoseevich Voronoï (1868–1908) or Peter Gustav Lejeune Dirichlet (1805–59) they have been discovered and rediscovered several times in science history. Actually, they can be found ...