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Concept
Closing (morphology)
Summary
In mathematical morphology, the closing of a set () A by a structuring element B is the erosion of the dilation of that set,
where and denote the dilation and erosion, respectively.
In , closing is, together with opening, the basic workhorse of morphological noise removal. Opening removes small objects, while closing removes small holes.
It is idempotent, that is, .
It is increasing, that is, if , then .
It is extensive, i.e., .
It is translation invariant.
Image Analysis and Mathematical Morphology by Jean Serra, (1982)
Image Analysis and Mathematical Morphology, Volume 2: Theoretical Advances by Jean Serra, (1988)
An Introduction to Morphological Image Processing by Edward R.
Official source
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