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- W36409453 abstract "This paper introduces a generalization of self-dual marked flattenings defined in the lattice of mappings. This definition provides a way to associate a self-dual operator to every mapping that decomposes an element into sub-elements (i.e. gives a cover). Contrary to classical flattenings whose definition relies on the complemented structure of the powerset lattices, our approach uses the pseudo relative complement and supplement of the bi-Heyting algebra and a new notion of inf-structuring functions that provides a very general way to structure the space. We show that using an inf-structuring function based on connections allows to recover the original definition of marked flattenings and we provide, as an example, a simple inf-structuring function whose derived self-dual operator better preserves contrasts and does not introduce new pixel values." @default.
- W36409453 created "2016-06-24" @default.
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- W36409453 date "2013-01-01" @default.
- W36409453 modified "2023-10-16" @default.
- W36409453 title "Inf-structuring Functions and Self-dual Marked Flattenings in bi-Heyting Algebra" @default.
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- W36409453 doi "https://doi.org/10.1007/978-3-642-38294-9_31" @default.
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