delaunay

From spatstat v1.25-5 by Adrian Baddeley

Delaunay Triangulation of Point Pattern

Computes the Delaunay triangulation of a spatial point pattern.

Keywords: manip, spatial

Usage

delaunay(X)

Arguments

X: Spatial point pattern (object of class "ppp").

Details

The Delaunay triangulation of a spatial point pattern X is defined as follows. First the Dirichlet/Voronoi tessellation of X computed; see dirichlet. Then two points of X are defined to be Delaunay neighbours if their Dirichlet/Voronoi tiles share a common boundary. Every pair of Delaunay neighbours is joined by a straight line. The result is a tessellation, consisting of disjoint triangles. The union of these triangles is the convex hull of X.

Value

A tessellation (object of class "tess"). The window of the tessellation is the convex hull of X, not the original window of X.

Examples

X <- runifpoint(42)
  plot(delaunay(X))
  plot(X, add=TRUE)

Documentation reproduced from package spatstat, version 1.25-5, License: GPL (>= 2)

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