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This paper provides a local characterization for a set of digital surfaces SU defined in [6] by mean of continuous analogues. For this, we firstly identify the set of admisible plates for any surface S ∈ SU (i.e., the intersection S ∩ C of S with a unit cube C of ℤ3 ). 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 SU which are strongly separating objects.  The family SU 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 SU contains the family of simplicity 26-surfaces and other surfaces in literature as well.

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