@TechReport{Banon:1995:ChTrEl,
author = "Banon, Gerald Jean Francis",
title = "Characterization of translation-invariant elementary morphological
operators between gray-level images",
institution = "INPE",
year = "1995",
type = "RPQ",
number = "INPE-5616-RPQ/671",
address = "S{\~a}o Jos{\'e} dos Campos",
note = "{A 12 page abstract has appeared in the SPIE's vol. 2568.} and
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, Morfologia matem{\'a}tica,
dilata{\c{c}}{\~a}o, eros{\~a}o, anti-dilata{\c{c}}{\~a}o,
anti-eros{\~a}o, invari{\^a}ncia de tradu{\c{c}}{\~a}o,
operador de janela, rede neural, operador de Hiejmans, operador
plano, caracteriza{\c{c}}{\~a}o, processamento de imagem,
medida.",
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 the 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. The characterization by confrontation
is the natural one within the theory of operator decomposition.
The characterization by selection and the one by decomposition
correspond, respectively, to efficient serial and parallel
computational implementations.",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
language = "en",
pages = "65",
ibi = "83LX3pFwXQZeBBx/PNoH",
url = "http://urlib.net/ibi/83LX3pFwXQZeBBx/PNoH",
targetfile = "target.pdf",
urlaccessdate = "2024, May 13"
}