Local Characterization of a Maximum Set of Digital (26,6)-Surfaces

Abstract

Abstract. This paper provides a local characterization for a set of digital surfaces S U defined in [6] by mean of continuous analogues. For this, we firstly identify the set of admisible plates for any surface S ∈ S U (i.e., the intersection S ∩ C of S with a unit cube C of Z 3 ). Then, the characterization is given in terms of a graph representing the intersection of plates. In addition, we establish a further condition that detects the digital surfaces in S U which are strongly separating objects. The family S U consists of all objects which are a digital surface in some homogeneous (26, 6)-connected digital space in the sense of [3]. Moreover, the subset of strongly separating surfaces of S U contains the family of simplicity 26-surfaces and other surfaces in literature as well.