Vertices and Edges of Dirichlet Tessellation
Computes the Dirichlet-Voronoi tessellation of a point pattern and extracts the vertices or edges of the tiles.
- Point pattern (object of class
These function compute the Dirichlet-Voronoi tessellation of
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
X reaches a local maximum.
The Dirichlet edges are the dividing lines equally distant between
a pair of points of
The Dirichlet tessellation of
X is computed
dirichlet. The vertices or edges of all
tiles of the tessellation are extracted.
dirichlet.vertices, 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.
dirichlet.verticesreturns a point pattern (object of class
"ppp") in the same window as
dirichlet.edgesreturns a line segment pattern (object of class
plot(dirichlet(cells)) plot(dirichlet.vertices(cells), add=TRUE) ed <- dirichlet.edges(cells)