Table 1 The mapping of interval algebra.
From: Reasoning with the inverse of 3D cardinal direction relations based on direction matrices
Symbolic | Interval algebra | Interval matrix | Inverse interval matrix |
|---|---|---|---|
p1 | {d, s, f, e} | [0 1 0] | [0 1 0] [0 1 1] [1 1 1] [1 1 0] |
p2 | {m, b} | [1 0 0] | [0 0 1] |
p3 | {mi, bi} | [0 0 1] | [1 0 0] |
p4 | {fi, o} | [1 1 0] | [0 1 1] [0 1 0] |
p5 | {si, oi} | [0 1 1] | [0 1 0] [1 1 0] |
p6 | {di} | [1 1 1] | [0 1 0] |
