Inf-Generating Function Example


This morphologic operator is a composition of a dilation and an anti-erosion. So it requires two structuring elements: one for the dilation and one for the anti-erosion. This specifies a range where the dilation structuring element will be the initial element of the range and the anti-erosion structuring element will be the final.

In the example bellow we show the composition. The initial structuring element will be "an isolated point", ie, { 000 010 000 } (seen as a 3X3 matrix where each block is one of its rows), the final one will be { 010 101 010 } or "a 4-connected hole". The first picture is the input image, the second one its dilation, the third one the erosion of the input image and the fourth one the inversion of the previos one (erosion). The last image is the supremum of the dilation and the anti-erosion .

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