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Abstract
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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 define 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 $(\Nn ,k)$-retractions. This class agrees, with minor modifications, with the class of thinning algorithms satisfying Ronse necessary conditions for preservation of topology. | |
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International
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Si |
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JCR
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Si |
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Title
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Pattern Recognition Letters |
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ISBN
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0167-8655 |
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Impact factor JCR
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1,03 |
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Impact info
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Volume
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Journal number
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33 |
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From page
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1477 |
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To page
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1484 |
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Month
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SIN MES |
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Ranking
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