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
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