Division of mappings between complete lattices
Christer O. Kiselman · Biblioteca Digital da Memória Científica do INPE (National Institute for Space Research) · 2007
Keywords: The importance for image processing of a good theory for morphological operators in complete lattices is now well understood. In this paper we introduce inverses and quotients of mappings between complete lattices which are analogous to inverses and quotients of positive numbers. These concepts are then used to create a convenient formalism for dilations and erosions as well as for cleistomorphisms (closure operators) and anoiktomorphisms (kernel operators). complete lattice, generalized inverse of a mapping, division of mappings, epigraph, hypograph, dilation, erosion, ethmomorphism, morphological filter, cleistomorphism, closure operator, anoiktomorphism,