Descripción
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This paper studies connectivity aspects that arise in image operators that process connected components. The focus is on morphological image analysis (i.e., on increasing image operators) and, in particular, on a robustness property satisfied by certain morphological filters that is denominated the strong property. The behavior of alternated compositions of openings and closings is investigated under certain as- sumptions, particularly connectedness and a connected com- ponent preserving condition. It is shown that these condi- tions cannot in general guarantee the strong property of cer- tain connected alternated filters because of issues related to the locality of the filters. As treated in the paper, there have been a series of misunderstandings in the literature concern- ing this topic, and it is important to clarify them. The root cause of those problems is discussed, and a solution is in- dicated. The class of connected openings and closings used to build connected alternated filters should therefore be de- fined to avoid such situations, since the strong property of alternated filters should be a distinctive characteristic of this class. | |
Internacional
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Si |
JCR del ISI
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Si |
Título de la revista
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JOURNAL OF MATHEMATICAL IMAGING AND VISION |
ISSN
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0924-9907 |
Factor de impacto JCR
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1,22 |
Información de impacto
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Volumen
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32 |
DOI
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10.1007/s10851-008-0098-x |
Número de revista
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3 |
Desde la página
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251 |
Hasta la página
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263 |
Mes
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NOVIEMBRE |
Ranking
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