Domain of influence

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Domaine d'influence (Fr). Wirkungsbereich (Ge). Dominio di influenza (It). 影響ドメイン (Ja). Dominio de influencia, celda de Wigner-Seitz (Sp).

Synonyms: Voronoi domain, Wigner-Seitz cell


The domain of influence of a lattice point P (Delaunay 1933), or Dirichlet domain or Voronoi domain, consists of all points Q in space that are closer to this lattice point than to any other lattice point or at most equidistant to it, namely such that OP ≤|t - OP| for any vector t belonging to the vector lattice L. It is the inside of the Wigner-Seitz cell.

See also