Links: definition and properties

Jean C. Serra

doi:10.1117/12.24208

1 September 1990 Links: definition and properties

Jean C. Serra

Proceedings Volume 1360, Visual Communications and Image Processing '90: Fifth in a Series; (1990) https://doi.org/10.1117/12.24208
Event: Visual Communications and Image Processing '90, 1990, Lausanne, Switzerland

Abstract

In the lattice of the operators acting on a complete lattice, a link ? is the inf of an increasing and a decreasing mappings. The links generate a complete lattice, and are characterized, in case of complete distributivity, by the implication A ? X ? B ? ? (A) ^ ?(B) ? ?(X). They allow minimal representation of a large class of mappings by means of hit-or-miss. Special attention is devoted to the residuals, i.e. the set difference between the identity and increasing mappings. These particular links allow to provide a common form to skeletons, ultimate erosions and conditional bisectors.

Citation Download Citation

Jean C. Serra "Links: definition and properties", Proc. SPIE 1360, Visual Communications and Image Processing '90: Fifth in a Series, (1 September 1990); https://doi.org/10.1117/12.24208

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