Table 8 3D coordinates of control points in target system and noises added (m)
From: A dual quaternion algorithm of the Helmert transformation problem
Point no. | \(x^{t}\) | \(y^{t}\) | \(z^{t}\) | Noise in \(x^{t}\) | Noise in \(y^{t}\) | Noise in \(z^{t}\) | Positional error sphere |
|---|---|---|---|---|---|---|---|
1 | 51.20845 | 10.62821 | 37.12165 | 0.00800 | 0.00390 | − 0.00270 | 0.00003 |
2 | 52.95745 | 15.95030 | 48.29655 | 0.00940 | 0.00090 | − 0.01190 | 0.00008 |
3 | 54.22132 | 16.38806 | 58.51758 | − 0.00990 | − 0.00640 | − 0.02200 | 0.00021 |
4 | 41.74440 | 15.77468 | 39.17225 | 0.00210 | − 0.00560 | 0.00990 | 0.00004 |
5 | 42.91124 | 15.23557 | 49.20249 | 0.00240 | 0.00440 | − 0.00520 | 0.00002 |
6 | 43.83551 | 12.25430 | 58.75580 | − 0.01010 | − 0.00950 | 0.00330 | 0.00007 |
7 | 32.32886 | 21.40958 | 41.31824 | − 0.00740 | 0.00780 | 0.00230 | 0.00004 |
8 | 32.37989 | 9.63651 | 49.15455 | 0.01080 | 0.00570 | 0.00020 | 0.00005 |
9 | 33.35267 | 7.14367 | 58.80324 | − 0.00130 | − 0.00820 | − 0.01000 | 0.00006 |