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Abstract
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| In a recent paper \cite{egsdcmf} we have introduced a notion of continuity in digital spaces which extends the usual notion of digital continuity. Our approach, which uses multivalued functions, 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 this work we deepen into the properties of this family of continuous functions, now concentrating on morphological operations and thinning algorithms. We show that our notion of continuity provides a suitable framework for the basic operations in mathematical morphology: erosion, dilation, closing, and opening. On the other hand, concerning thinning algorithms, we give conditions under which the existence of a retraction $F:X\longrightarrow X\setminus D$ guarantees that $D$ is deletable. The converse is not true, in general, although it is in certain particular important cases which are at the basis of many thinning algorithms. | |
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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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Journal of Mathematical Imaging And Vision |
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ISBN
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0924-9907 |
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Impact factor JCR
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1,244 |
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Impact info
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Datos JCR del año 2010 |
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Volume
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Journal number
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42 |
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From page
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76 |
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To page
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91 |
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Month
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SIN MES |
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Ranking
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