We introduce in this paper a notion of continuity in digital spaces which extends the usual notion of digital continuity. Our approach uses multivalued maps. We show how the multivalued approach 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 characterize the deletion of simple points, one of the most important processing operations in digital topology, as a particular kind of retraction. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Escribano, C., Giraldo, A., & Sastre, M. A. (2008). Digitally continuous multivalued functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4992 LNCS, pp. 81–92). https://doi.org/10.1007/978-3-540-79126-3_9
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