@TechReport{Banon:1995:ChTrEl,
author = "Banon, Gerald J. F.",
title = "Characterization of translation-invariant elementary morphological
operators between gray-level images",
institution = "Instituto Nacional de Pesquisas Espaciais - INPE",
year = "1995",
type = "research report",
number = "INPE-5616-RPQ/671",
address = "CP 515, 12201-970 S{\~a}o Jos{\'e} dos Campos, SP, Brazil",
month = "November",
note = "A 12 page abstract has appeared in the SPIE's vol. 2568; this work
has been supported by ProTeM-CC/CNPq through the AnIMoMat project,
contract 680067/94-9, and by CNPq under contract 300966/90-3.",
keywords = "mathematical morphology, dilation, erosion, anti-dilation,
anti-erosion, translation invariance, window operator, neural
network, hiejmans' operator, flat operator, characterization,
image processing, measure.",
abstract = "The four classes of Mathematical Morphology elementary operators:
dilations, erosions, anti-dilations and anti-erosions have proved
to be of fundamental importance to the
decomposition/representation of any mapping between complete
lattices. In this paper, we are concerned with the
characterization of translation invariant window elementary
operators (with window W) that transform a gray-level image with
finite range K1 into a gray-level image with possibly different
finite range K2. Three types of characterization are presented. In
the first characterization, called {"}characterization by
confrontation{"} each elementary operator depends on a family of
mappings from W to K1, called structuring element. In the second
characterization, called {"}characterization by selection{"} each
elementary operator depends on a family of mappings from W to K2,
called impulse response. Finally, in the third characterization,
called {"}characterization by decomposition{"} each elementary
operator depends on a family of mappings from K1 to K2, called
Elementary Look Up Tables.",
copyholder = "faria - tese",
urlaccessdate = "18 maio 2024"
}