Table 1.
Table of results of concatenation of relations. (I, identity; S, subarea; L, larger area; O, overlapping area; D, disjoint area. The first column denotes the state before mapping and the first row identifies the mapping step to be applied to that previous state. For the first mapping step start with I as the previous state. Other matrix entries list the set of resulting possibilities. The resulting set can then be transferred to the first column to apply the next mapping step.)
I | S | L | O | D | |
---|---|---|---|---|---|
I | I | S | L | O | D |
S | S | S | ISLOD | SOD | D |
L | L | ISLO | L | LO | LOD |
O | O | SO | LOD | ISLOD | LOD |
D | D | SOD | D | SOD | ISLOD |
SO | SO | SO | ISLOD | ISLOD | LOD |
LO | LO | ISLO | LOD | ISLOD | LOD |
SOD | SOD | SOD | ISLOD | ISLOD | ISLOD |
LOD | LOD | ISLOD | LOD | ISLOD | ISLOD |
ISLO | ISLO | ISLO | ISLOD | ISLOD | LOD |
ISLOD | ISLOD | ISLOD | ISLOD | ISLOD | ISLOD |