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Table 6 Common points extracted from two neighboring LIDAR point clouds

From: Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation

Point no.

Unregistered station in the original system (m)

Reference station in the target system (m)

\(x^{o}\)

\(y^{o}\)

\(z^{o}\)

\(x^{t}\)

\(y^{t}\)

\(z^{t}\)

1

− 49.007

54.453

0.978

− 91.406

53.344

8.320

2

− 47.365

54.435

− 6.242

− 91.297

53.222

0.916

3

− 36.514

13.733

3.642

− 60.158

24.280

8.948

4

− 34.881

13.859

− 3.608

− 60.135

24.278

1.521

5

− 53.378

− 25.872

− 4.187

− 56.298

− 19.186

5.700

6

− 7.324

− 32.695

− 1.389

− 13.269

− 2.677

− 1.444

7

9.587

− 19.650

2.449

− 4.666

17.245

− 1.605

8

− 36.532

− 0.319

21.980

− 49.939

14.297

27.119

9

− 39.932

− 1.307

19.965

− 52.769

11.523

25.906

10

− 67.051

− 8.834

15.017

− 72.929

− 8.630

27.146

11

− 54.124

− 40.688

13.216

− 46.500

− 30.291

23.078

12

− 51.943

− 30.962

− 3.965

− 52.581

− 22.934

5.676

13

− 57.712

− 23.376

8.397

− 58.972

− 17.511

18.862

14

− 59.650

− 32.625

12.037

− 55.429

− 26.155

23.077

15

− 59.512

− 32.705

12.071

− 55.313

− 26.131

23.039

16

− 41.466

18.246

21.085

− 63.467

27.962

26.981

17

− 39.133

10.234

20.247

− 57.673

22.069

25.782

18

− 29.781

− 0.026

− 8.062

− 49.687

14.083

− 3.666