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Abstract
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| In a recent paper 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 characterized the deletion of simple points, one of the most important processing operations in digital topology, as a particular kind of retraction. In this work we give a simpler algorithm to define the retraction associated to the deletion of a simple point and we use this algorithm to characterize some well known parallel thinning algorithm as a particular kind of multivalued retraction, | |
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International
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Si |
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Congress
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15-th IAPR International Conference on Discrete Geometry for Computer Imagery |
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960 |
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Place
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Montreal (Canada) |
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Reviewers
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Si |
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ISBN/ISSN
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978-3-642-04396-3 |
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Start Date
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30/09/2009 |
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End Date
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02/10/2009 |
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From page
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275 |
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To page
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287 |
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Discrete Geometry for Computer Imagery, 15th IAPR International Conference, DGCI 2009 |