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Table 5 Predicted errors at 10 control points in the source system and target system by the new algorithm

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

Point no.

Error of reference station (target system) (m)

Error of unregistered station (source system) (m)

\(x^{t}\)

\(y^{t}\)

\(z^{t}\)

\(x^{o}\)

\(y^{o}\)

\(z^{o}\)

1

0.0093

0.0054

− 0.0027

− 0.0111

− 0.0001

0.0003

2

0.0096

0.0015

− 0.0026

− 0.0095

0.0034

0.0006

3

0.0057

0.0058

− 0.0057

− 0.0089

− 0.0024

0.0039

4

0.0052

0.0034

− 0.0021

− 0.0065

− 0.0004

0.0007

5

0.0095

0.0073

0.0028

− 0.0110

− 0.0016

− 0.0053

6

0.0015

0.0069

− 0.0045

− 0.0056

− 0.0053

0.0033

7

− 0.0045

0.0075

− 0.0064

− 0.0011

− 0.0089

0.0061

8

− 0.0013

− 0.0014

− 0.0015

0.0015

0.0006

0.0019

9

− 0.0341

− 0.0198

− 0.0020

0.0381

0.0003

0.0105

10

− 0.0009

− 0.0166

0.0247

0.0141

0.0145

− 0.0220