Hands-on Signal Analysis with Python by Thomas Haslwanter

Author:Thomas Haslwanter
Language: eng
Format: epub
ISBN: 9783030579036
Publisher: Springer International Publishing

(5.33)

To define a morphological operation we have to set a structural element SE, which is an area with a well defined shape around the point M. In Fig. 5.31 we use a square -matrix as SE.

The definition of the action erosion E is:

(5.34)

with n and m the height and width of the structural element, respectively.

In words, if any of the pixels in the structural element M has the value 0, the erosion sets the value of M, a specific pixel in SE, to 0. Otherwise E(M) 1.

And for the dilation D it holds that if any value in SE is 1, the dilation of M, D(M), is set to 1.

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