# dirichlet

From spatstat v1.16-2
by Adrian Baddeley

##### Dirichlet Tessellation of Point Pattern

Computes the Dirichlet/Voronoi tessellation of a spatial point pattern.

##### Usage

`dirichlet(X)`

##### Arguments

- X
- Spatial point pattern (object of class
`"ppp"`

).

##### Details

In a spatial point pattern `X`

, the Dirichlet/Voronoi tile associated
with a particular point `X[i]`

is the region of space that is
closer to `X[i]`

than to any other point in `X`

. The
Dirichlet tiles divide the two-dimensional plane into disjoint
regions, forming a tessellation.

This function computes the Dirichlet tessellation (within the original
window of `X`

).

##### Value

- A tessellation (object of class
`"tess"`

).

##### See Also

##### Examples

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

*Documentation reproduced from package spatstat, version 1.16-2, License: GPL (>= 2)*

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