We analyze the latticial properties of $\delta$ and by $\delta$ we define two lattice proving that one of these called {\it dilatation lattice} is isomorphic to the lattice $(\mathbf{P(S)}, \cup, \cap)$. In the second time, thanks to the notion of kernel, we chararacterize morphological convex geometries which are abstract convexity.
SOME LATTICIAL AND CONVEX ASPECTS OF MATHEMATICAL MORPHOLOGY
Rania F
2002-01-01
Abstract
We analyze the latticial properties of $\delta$ and by $\delta$ we define two lattice proving that one of these called {\it dilatation lattice} is isomorphic to the lattice $(\mathbf{P(S)}, \cup, \cap)$. In the second time, thanks to the notion of kernel, we chararacterize morphological convex geometries which are abstract convexity.File in questo prodotto:
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