Generalized Simple Surface Points

Abstract

Abstract. By using exclusively the customary adjacency relations on Z 3 , 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.