# centroid.owin

From spatstat v1.11-5
by Adrian Baddeley

##### Centroid of a window

Computes the centroid (centre of mass) of a window

##### Usage

`centroid.owin(w)`

##### Arguments

- w
- A window

##### Details

The centroid of the window `w`

is computed.
The centroid (``centre of mass'')
is the point whose $x$ and $y$ coordinates
are the mean values of the $x$ and $y$ coordinates
of all points in the window.

The argument `w`

should be a window (an object of class
`"owin"`

, see `owin.object`

for details)
or can be given in any format acceptable to `as.owin()`

.

The calculation uses an exact analytic formula for the case of polygonal windows.

Note that the centroid of a window is not necessarily inside the window. If the window is convex then it does contain its centroid.

##### Value

- A list with components
`x, y`

giving the coordinates of the centroid of the window`w`

.

##### See Also

##### Examples

```
w <- owin(c(0,1),c(0,1))
centroid.owin(w)
# returns 0.5, 0.5
data(demopat)
w <- demopat$window
# an irregular window
plot(w)
# plot the window
points(centroid.owin(w))
# mark its centroid
wapprox <- as.mask(w)
# pixel approximation of window
points(centroid.owin(wapprox))
# should be indistinguishable
<testonly>centroid.owin(w)
centroid.owin(wapprox)</testonly>
```

*Documentation reproduced from package spatstat, version 1.11-5, License: GPL version 2 or newer*

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