Mathematical morphology

Encyclopedia : M : MA : MAT : Mathematical morphology

Mathematical morphology (MM) is a theoretical model for digital images built upon lattice theory and topology. It is the foundation of morphological image processing, which is based on shift-invariant (translation invariant) operators based principally on Minkowski addition.

Mathematical morphology was originally developed for binary images, viewed as subsets of the integer grid Z² (or Z^d, for any dimension d), and was later successfully extended to grayscale images and multi-band images.

Basic operators

Erosion
Dilation
Opening
Closing

External links

[Center of Mathematical Morphology], Paris School of Mines
[History of Mathematical Morphology], by Jean Serra

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