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 dene 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 modications, with the class of thinning algorithms satisfying Ronse necessary conditions for preservation of topology. | |
Internacional
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Si |
Nombre congreso
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3rd International Workshop on Computational Topology in Image Context (CTIC 2010) |
Tipo de participación
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960 |
Lugar del congreso
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Chipiona (España) |
Revisores
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Si |
ISBN o ISSN
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0000000000 |
DOI
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Fecha inicio congreso
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10/11/2010 |
Fecha fin congreso
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12/11/2010 |
Desde la página
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9 |
Hasta la página
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16 |
Título de las actas
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Internal proceedings of the 3rd International Workshop on Computational Topology in Image Context (CTIC 2010) |