WTLS iterative algorithm of 3D similarity coordinate transformation based on Gibbs vectors

Earth, Planets and Space

Table 2 Point features extracted from two neighboring LIDAR point clouds

Point no.	Reference station in the target system (m)			Unregistered station in the source system (m)
Point no.	\(x^{t}\)	\(y^{t}\)	\(z^{t}\)	\(x^{o}\)	\(y^{o}\)	\(z^{o}\)
1	− 91.406	53.344	8.320	− 49.007	54.453	0.978
2	− 91.297	53.222	0.916	− 47.365	54.435	− 6.242
3	− 60.158	24.280	8.948	− 36.514	13.733	3.642
4	− 60.135	24.278	1.521	− 34.881	13.859	− 3.608
5	− 56.298	− 19.186	5.700	− 53.378	− 25.872	− 4.187
6	− 13.269	− 2.677	− 1.444	− 7.324	− 32.695	− 1.389
7	− 4.666	17.245	− 1.605	9.587	− 19.650	2.449
8	− 49.939	14.297	27.119	− 36.532	− 0.319	21.980
9	− 52.769	11.523	25.906	− 39.932	− 1.307	19.965
10	− 72.929	− 8.630	27.146	− 67.051	− 8.834	15.017
11	− 46.500	− 30.291	23.078	− 54.124	− 40.688	13.216
12	− 52.581	− 22.934	5.676	− 51.943	− 30.962	− 3.965
13	− 58.972	− 17.511	18.862	− 57.712	− 23.376	8.397
14	− 55.429	− 26.155	23.077	− 59.650	− 32.625	12.037
15	− 55.313	− 26.131	23.039	− 59.512	− 32.705	12.071
16	− 63.467	27.962	26.981	− 41.466	18.246	21.085
17	− 57.673	22.069	25.782	− 39.133	10.234	20.247
18	− 49.687	14.083	− 3.666	− 29.781	− 0.026	− 8.062