Local Patterns and Connectivity Indexes in a Three Dimensional Digital Picture

In this paper we present the basic data of the local pattern on the area of the size of 3 × 3 × 3 voxels denoted as N333(x) on a three dimensional digital binary picture. Topological features called the connectivity index are studied by calculating them for all possible patterns. Main results are summarized as follows. (1) List of all possible values of the connectivity index (2) Examples of local patterns on N 333(x) which take specific values of the connectivity index. (3) Numbers of different patterns on N 333(x) for all possible values of the connectivity index. All arrangements of 0 and 1 on N333(x) (local patterns) were systematically generated by computer, and feature values were calculated.