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Table 7 Calculated transformation parameters (identity weight matrix)

From: Analytical algorithm of weighted 3D datum transformation using the constraint of orthonormal matrix

 

PA

CPA

Rotation matrix

      

R

1.0000000000

0.0000048146

−0.0000043328

1.0000000000

0.0000048146

−0.0000043328

 

−0.0000048146

1.0000000000

−0.0000048408

−0.0000048146

1.0000000000

−0.0000048408

 

0.0000043327

0.0000048408

1.0000000000

0.0000043327

0.0000048408

1.0000000000

Rotation angles (″)

      

α

 

−0.998496121

  

−0.998496121

 

β

 

0.893693325

  

0.893693325

 

γ

 

0.993086229

  

0.993086229

 

Translation (m)

      

ΔX

 

641.8805

  

641.8805

 

ΔY

 

68.6551

  

68.6551

 

ΔZ

 

416.3982

  

416.3982

 

Scale

      

λ

 

1.000005583

  

1.000005583

 

ME (m)

 

0.0773

  

0.0773

Â