# eroded.areas

0th

Percentile

##### Areas of Morphological Erosions

Computes the areas of successive morphological erosions of a window.

Keywords
spatial, math
##### Usage
eroded.areas(w, r, subset=NULL)
##### Arguments
w

A window.

r

Numeric vector of radii at which erosions will be performed.

subset

Optional window inside which the areas should be computed.

##### Details

This function computes the areas of the erosions of the window w by each of the radii r[i].

The morphological erosion of a set $$W$$ by a distance $$r > 0$$ is the subset consisting of all points $$x \in W$$ such that the distance from $$x$$ to the boundary of $$W$$ is greater than or equal to $$r$$. In other words it is the result of trimming a margin of width $$r$$ off the set $$W$$.

The argument r should be a vector of positive numbers. 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().

Unless w is a rectangle, the computation is performed using a pixel raster approximation.

To compute the eroded window itself, use erosion.

##### Value

Numeric vector, of the same length as r, giving the areas of the successive erosions.

owin, as.owin, erosion

• eroded.areas
##### Examples
# NOT RUN {
w <- owin(c(0,1),c(0,1))
a <- eroded.areas(w, seq(0.01,0.49,by=0.01))
# }

Documentation reproduced from package spatstat, version 1.62-2, License: GPL (>= 2)

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