1. Ronse deletability conditions and -retractions
- Author
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Escribano, Carmen, Giraldo, Antonio, and Sastre, María Asunción
- Subjects
- *
TOPOLOGICAL spaces , *CONTINUOUS functions , *ALGORITHMS , *INFORMATION theory , *PARALLEL algorithms , *MATHEMATICAL analysis - Abstract
Abstract: 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 -retractions. In this paper we give a full characterization of the thinning algorithms that can be modeled as -retractions. This class agrees, with minor modifications, with the class of thinning algorithms satisfying Ronse sufficient conditions for preservation of topology. [Copyright &y& Elsevier]
- Published
- 2012
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