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<metadatalist>
	<metadata ReferenceType="Report">
		<metadatalastupdate>2014:04.17.12.33.12 lcp.inpe.br/ignes/2004/02.12.18.39 clayton.martins@inpe.br</metadatalastupdate>
		<reportnumber>INPE-5616-RPQ/671</reportnumber>
		<citationkey>Banon:1995:ChTrEl</citationkey>
		<title>Characterization of translation-invariant elementary morphological operators between gray-level images</title>
		<year>1995</year>
		<date>November</date>
		<type>research report</type>
		<author>Banon, Gerald J. F.,</author>
		<institution>Instituto Nacional de Pesquisas Espaciais - INPE</institution>
		<city>CP 515, 12201-970 São José dos Campos, SP, Brazil</city>
		<keywords>mathematical morphology, dilation, erosion, anti-dilation, anti-erosion, translation invariance, window operator, neural network, hiejmans' operator, flat operator, characterization, image processing, measure.</keywords>
		<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.</abstract>
		<visibility>shown</visibility>
		<copyholder>faria - tese</copyholder>
		<databaserepository>dpi.inpe.br/faria/1997/04.01.17.00</databaserepository>
		<notes>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.</notes>
	</metadata>
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