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Voronoi diagram

In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. It can be classified also as a tessellation. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators). For each seed there is a corresponding region, called a Voronoi cell comprising…

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Simplest case

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Higher-order Voronoi diagrams

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Algorithms

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Voronoi diagram

Nodes150
Edges149
Triples117
Avg. degree1.99
Density0.013333
Components1

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Voronoi diagram

Top relations

related to Algorithms · 17
Voronoi diagram → Bowyer, Czyzewski, Delaunay, Direct, For, Fortune's, GPUs, JFA, JFA-star, Jump Flooding Algorithm, Maciej, Originally, Rong Guodong, Several, Subsequent, Voronoi, Watson
related to history · 14
Voronoi diagram → Alfred, American, British, Broad Street, Descartes, Dirichlet, Georgy Feodosievych Voronoy, Informal, John Snow, Other, Peter Gustav Lejeune Dirichlet, Thiessen, Voronoi, Voronoi-like
related to Engineering · 9
Voronoi diagram → Brillouin, Coast, ETOPS, Exploratory, Freight Loading Zone, In, The Arts Centre Gold, Voronoi, Wigner-Seitz
related to External links · 9
Voronoi diagram → CGAL, Computational Geometry Algorithms LibraryDemo, Eric, MathWorld, SFTessellation, Steppe Fire Model, Voronoi, Voronoi Diagrams, Weisstein
related to Health · 9
Voronoi diagram → Broad Street, Central London, England, He, In, John Snow, One, Soho, Voronoi
related to Natural sciences · 9
Voronoi diagram → AREPO, High, In, Indeed, Shadowgraph, The, Thiessen, This, Voronoi
related to Properties · 8
Voronoi diagram → As, Delaunay, Euclidean, If, The, This, Under, Voronoi
related to Generalizations and variations · 7
Voronoi diagram → As, Euclidean, However, In, Mahalanobis, Manhattan, Voronoi
related to Mathematics · 7
Voronoi diagram → For, In, Nearest, Pólya's, The Voronoi, Voronoi, Zeroes
related to Simplest case · 7
Voronoi diagram → Cell, Euclidean, For, In, The, Voronoi, When

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Important terminology

voronoi points diagrams used diagram cells set also point space plane sites tessellation distance euclidean cell case displaystyle applications nearest

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Voronoi diagramis apartition of a plane into regions close to each of a given set of objects0.90text
Voronoi diagramis asubdivision of the plane into k cells0.90text
Voronoi diagramis aone in which the function of a pair of points to define a Voronoi cell is a distance function modified by multiplicative or additive weights assigned to generator points0.90text
the medial axisinstance ofA more space-efficient alternative is to use approximate Voronoi diagrams.Voronoi diagrams are also related to other geometric structures0.80text
Voronoi diagramrelated to AlgorithmsSeveral0.60section
Voronoi diagramrelated to AlgorithmsVoronoi0.60section
Voronoi diagramrelated to AlgorithmsDelaunay0.60section
Voronoi diagramrelated to AlgorithmsDirect0.60section
Voronoi diagramrelated to AlgorithmsFortune's0.60section
Voronoi diagramrelated to AlgorithmsBowyer0.60section
Voronoi diagramrelated to AlgorithmsWatson0.60section
Voronoi diagramrelated to AlgorithmsFor0.60section

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