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Table 9 Calculated transformation parameters (point-wise weight matrix)

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

 

PA

CPA

Rotation matrix

      

R

1.0000000000

0.0000047797

−0.0000043444

1.0000000000

0.0000047797

−0.0000043444

 

−0.0000047797

1.0000000000

−0.0000048370

−0.0000047797

1.0000000000

−0.0000048370

 

0.0000043443

0.0000048371

1.0000000000

0.0000043443

0.0000048371

1.0000000000

Rotation angles (″)

      

α

 

−0.997716185

  

−0.997716186

 

β

 

0.896085615

  

0.896085615

 

γ

 

0.985885069

  

0.985885070

 

Translation (m)

      

ΔX

 

641.8395

  

641.8395

 

ΔY

 

68.4729

  

68.4729

 

ΔZ

 

416.2156

  

416.2156

 

Scale

      

λ

 

1.000005611

  

1.000005611

 

Mean error (m)

 

0.1140

  

0.1140

Â