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Descripción
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| In some recent papers we have introduced a notion of continuity in digital spaces which extends the usual notion of digital continuity. Our approach, which uses multivalued maps, provides a better framework to de ne topological notions, like retractions, in a far more realistic way than by using just single-valued digitally continuous functions. In particular, we have characterized the deletion of simple points and some well known parallel thinning algorithm as a particular type of retractions, called (N; k)-retractions. In this paper we give a full characterization of the thinning algorithms that can be modeled as (N; k)-retractions. This class agrees, with minor modi cations, with the class of thinning algorithms satisfying Ronse necessary conditions for preservation of topology. | |
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Internacional
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Si |
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Nombre congreso
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3rd International Workshop on Computational Topology in Image Context (CTIC 2010) |
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Tipo de participación
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960 |
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Lugar del congreso
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Chipiona (España) |
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Revisores
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Si |
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ISBN o ISSN
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0000000000 |
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DOI
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Fecha inicio congreso
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10/11/2010 |
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Fecha fin congreso
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12/11/2010 |
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Desde la página
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9 |
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Hasta la página
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16 |
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Título de las actas
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Internal proceedings of the 3rd International Workshop on Computational Topology in Image Context (CTIC 2010) |