Encyclopedia of Environmetrics 2006
DOI: 10.1002/9780470057339.vat004
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Tessellations

Abstract: A tessellation may be defined as a division of a space into convex polygonal regions; divisions of the plane ( R 2 ) are most often discussed. While geometrists centuries ago reserved the term tessellation merely for divisions of the plane into regular polygons of equal size, most authors now define tessellations very broadly so as to include any arrangements of nonoverlappi… Show more

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Cited by 1 publication
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“…A tessellation is a partition of a space into convex polytopes; tessellation of the plane (into convex polygons) is the most frequently studied case (Schoenberg (2002)). Given 2 ≤ n < ∞ distinct points in R 2 , we associate all points in the space with the closest member(s) of the point set with respect to the Euclidean distance.…”
Section: Voronoi Diagrams and Delaunay Tessellationsmentioning
confidence: 99%
“…A tessellation is a partition of a space into convex polytopes; tessellation of the plane (into convex polygons) is the most frequently studied case (Schoenberg (2002)). Given 2 ≤ n < ∞ distinct points in R 2 , we associate all points in the space with the closest member(s) of the point set with respect to the Euclidean distance.…”
Section: Voronoi Diagrams and Delaunay Tessellationsmentioning
confidence: 99%