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

Perform morphological opening of a window, a line segment pattern or a point pattern.

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`w` |
A window (object of class |

`r` |
positive number: the radius of the opening. |

`...` |
extra arguments passed to |

`polygonal` |
Logical flag indicating whether to compute a polygonal
approximation to the erosion ( |

The morphological opening (Serra, 1982)
of a set *W* by a distance *r > 0*
is the subset of points in *W* that can be
separated from the boundary of *W* by a circle of radius *r*.
That is, a point *x* belongs to the opening
if it is possible to draw a circle of radius *r* (not necessarily
centred on *x*) that has *x* on the inside
and the boundary of *W* on the outside.
The opened set is a subset of `W`

.

For a small radius *r*, the opening operation
has the effect of smoothing out irregularities in the boundary of
*W*. For larger radii, the opening operation removes promontories
in the boundary. For very large radii, the opened set is empty.

The algorithm applies `erosion`

followed by
`dilation`

.

If `r > 0`

, an object of class `"owin"`

representing the
opened region. If `r=0`

, the result is identical to `w`

.

and \rolf

Serra, J. (1982) Image analysis and mathematical morphology. Academic Press.

`closing`

for the opposite operation.

`dilation`

, `erosion`

for the basic
operations.

`owin`

,
`as.owin`

for information about windows.

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