By using exclusively the customary adjacency relations on ℤ3, we generalize the notion of a simple surface point given by Morgenthaler in the 80s. A new definition of simple surface arises, and we show that simple surfaces coincide with the strong separating family of a certain class of digital surfaces defined by means of continuous analogues that, in turn, contains several families of discrete surfaces in the literature. © 2013 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Ciria, J. C., Domínguez, E., Francés, A. R., & Quintero, A. (2013). Generalized simple surface points. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7749 LNCS, pp. 59–70). Springer Verlag. https://doi.org/10.1007/978-3-642-37067-0_6
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