Basic Definitions and Propositions

Abstract

In this section we review some definitions from digital topology and geometry mostly following Rosenfeld [129] and Kong and Rosenfeld [82] . Unless explicitly stated otherwise, we consider Z ² as the set of points with integer coordinates in the plane ℝ.², and similarly Z ³ as the set of points with integer coordinates in space IR³ As usual we assume that all sets are subsets of a digital plane Z ² or a digital space Z ³ with some adjacency (neighborhood) relations which are defined below.