3. Mathematical formalisms
Set and function theory, used directly in the previous section, provides a first formal framework for mathematical morphology. The most general framework, for increasing deterministic operations, is the algebraic framework of complete lattices. A lattice is a set with a partial order relation , such that any pair of elements (or any finite family) has an upper bound (denoted ) and a lower bound (denoted )....
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Mathematical formalisms
Geodetic operations and reconstruction
Bibliography
- (1) - ANGULO (J.) - Morphological Colour Operators in Totally Ordered Lattices based on Distance : Application to Image Filtering, Enhancement and Analysis - Computer Vision and Image Understanding, 107 : 56-73 (2007).
- (2) - APTOULA (E.), LEFEVRE (S.) - A Comparative Study in Multivariate Mathematical...
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