Table 5 Number of solvable transformation parameters
From: Analytical algorithm of weighted 3D datum transformation using the constraint of orthonormal matrix
Space | PA | CPA | IPA | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
Translation | Angle | Scale | Total | Translation | Angle | Scale | Total | Translation | Angle | Scale | Total | |
3D | 3 | 3 | 1 | 7 | 3 | 3 | 1 | 7 | 3 | 3 | 1 | 7 |
2D | 3 | 3 | 1 | 7 | 0–3 | 0–3 | 1 | 1–7 | 3 | 3 | 1 | 7 |
1D | 3 | 0–2 | 1 | 4–6 | 3 | 0–2 | 1 | 4–6 | 3 | 0–2 | 1 | 4–6 |