BINARY MORPHOLOGY

The binary morphology operators take as input a binarized image and make improvement before the labeling phase

The idea is to slide a small kernel called structuring element

DILATION

The output image is obtained by sliding the kernel on each black element

EROSION

The output image is obtained by sliding the kernel on the all image leaving only the black points that contain the kernel

OPENING AND CLOSING

Erosion followed by dilation is called opening

$$A\circ B=(A\ominus B)\oplus B$$

Dilation followed by erosion is called closing

$$A\bullet B=(A\oplus B)\ominus B$$

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