On the Recognition of Properties of Three-Dimensional Pictures

This correspondence proposes one-pass algorithms that compute the numbers of objects, cavities, and holes in three-dimensional (3-D) digital pictures. Also, it is shown that a one-way, 3-D parallel/sequential acceptor cannot accept the class of 3-D binary arrays in which the set of 1's is connected, unlike the situation in the two-dimensional (2-D) case; but it can do so if multipasses are allowed.