dirichletVertices {spatstat} | R Documentation |
Computes the Dirichlet-Voronoi tessellation of a point pattern and extracts the vertices or edges of the tiles.
dirichletVertices(X) dirichletEdges(X)
X |
Point pattern (object of class |
These function compute the Dirichlet-Voronoi tessellation of X
(see dirichlet
)
and extract the vertices or edges of the tiles of the tessellation.
The Dirichlet vertices are the spatial locations which are locally
farthest away from X
, that is, where the distance function
of X
reaches a local maximum.
The Dirichlet edges are the dividing lines equally distant between
a pair of points of X
.
The Dirichlet tessellation of X
is computed
using dirichlet
. The vertices or edges of all
tiles of the tessellation are extracted.
For dirichletVertices
, any vertex which
lies on the boundary of the window of X
is deleted.
The remaining vertices are returned, as a point pattern,
without duplicated entries.
dirichletVertices
returns a point pattern (object of class "ppp"
) in the same window
as X
.
dirichletEdges
returns a line segment pattern (object of
class "psp"
).
Adrian Baddeley Adrian.Baddeley@curtin.edu.au
Rolf Turner r.turner@auckland.ac.nz
and Ege Rubak rubak@math.aau.dk
plot(dirichlet(cells)) plot(dirichletVertices(cells), add=TRUE) ed <- dirichletEdges(cells)