HP Labs Technical Reports
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Inf-Semilattice Approach to Self-Dual Morphology
Heijmans, Henk J.A.M.; Keshet, Renato
Keyword(s): self-dual filtering; mathematical morphology; complete inf-semilattices
Abstract: Self-duality is a desired property in many applications, and, in particular, image filtering, where it is expressed by identical treatment of bright and dark objects. It is however not a straightforward property of most operators in classical mathematical morphology (defined on complete lattices). With the recent extension of mathematical morphology to inf- semilattices, an alternative approach for self-dual morphology became possible. In this report, an inf- semilattice theory for self-dual morphology is developed, and two approaches for deriving self-dual operators are proposed.
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