Sup-Generating Operator


This morphologic operator is the intersection of an erosion and an anti-dilation. It requires two structuring elements A and B: A for the erosion and B for the anti-dilation. A and B specify a pattern and in the output image a pixel will be one if the pattern is matched in the input image.

In the example bellow A is an isolated point and B is a 4-connected hole. The idea is to detect pixels which have no 4-connected neighbors.

    000        010                .0.
A = 010    B = 101  <=> Pattern = 010
    000        010                .0.

erosion =

anti-dilation =

Intersection of both:



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