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Given 8X8 image segment. Perform erosion using the structuring element shown:

enter image description here

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For erosion, we use the formula

E(x,y) = Minimum{A(x – i, y – j ) x B(i , j)}

$\hspace{30mm}$ 0 ≤ i ≤ m - 1

$\hspace{30mm}$ 0 ≤ j ≤ n - 1

Here we multiply the mask coefficients with the image values and choose the minimum value.

We place this minimum value at the position of the origin of the structuring element.

enter image description here

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