Description Usage Arguments Details Value Author(s) See Also Examples

Computes the areas of successive morphological erosions of a window.

1 | ```
eroded.areas(w, r, subset=NULL)
``` |

`w` |
A window. |

`r` |
Numeric vector of radii at which erosions will be performed. |

`subset` |
Optional window inside which the areas should be computed. |

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`

.

Numeric vector, of the same length as `r`

,
giving the areas of the successive erosions.

and \rolf

1 2 |

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