Compute centroids of Dirichlet (Voronoi) tiles

Given a list of Dirichlet tiles, as produced by tile.list(), produces a data frame consisting of the centroids of those tiles.

tile.centroids(tl)

Arguments

tl

A list of the tiles (produced by tile.list()) in a Dirichlet tessellation of a set of planar points.

Value

A data frame with two columns named x and y. Each row of this data frame constitutes the centroid of one of the Dirichlet tiles.

References

URL http://en.wikipedia.org/wiki/Centroid

Author

Rolf Turner rolfurner@posteo.net

See also

tile.list()

Examples

set.seed(42)
x <- runif(20)
y <- runif(20)
d <- deldir(x,y)
l <- tile.list(d)
g <- tile.centroids(l)
plot(l,close=TRUE)
points(g,pch=20,col="red")