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Table 2 Coordinates of control points in local system and WGS-84 system

From: A dual quaternion algorithm of the Helmert transformation problem

Station name

Local system (original system) (m)

WGS-84 system (target system) (m)

\(x^{\text{o}}\)

\(y^{\text{o}}\)

\(z^{\text{o}}\)

\(x^{\text{t}}\)

\(y^{\text{t}}\)

\(z^{\text{t}}\)

Solitude

4,157,222.543

664,789.307

4,774,952.099

4,157,870.237

664,818.678

4,775,416.524

Buoch Zeil

4,149,043.336

688,836.443

4,778,632.188

4,149,691.049

688,865.785

4,779,096.588

Hohenneuffen

4,172,803.511

690,340.078

4,758,129.701

4,173,451.354

690,369.375

4,758,594.075

Kuehlenberg

4,177,148.376

642,997.635

4,760,764.800

4,177,796.064

643,026.700

4,761,228.899

Ex Mergelaec

4,137,012.190

671,808.029

4,791,128.215

4,137,659.549

671,837.337

4,791,592.531

Ex Hof Asperg

4,146,292.729

666,952.887

4,783,859.856

4,146,940.228

666,982.151

4,784,324.099

Ex Kaisersbach

4,138,759.902

702,670.738

4,785,552.196

4,139,407.506

702,700.227

4,786,016.645