Closing (morphology)

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In image processing, the closing of a 2-dimensional set (image) A by another set B is the erosion of the dilation of that set,

C(A,B) = (A + B) − B

(here, the plus sign is the dilation and the minus sign is the erosion). One has

A \subset C(A,B).

Closing is, together with opening, the basic workhorse of morphological noise removal. Opening removes small objects, while closing removes small holes.

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