In the following the constraints-matrix B is to be constructed. This matrix depends 
on the new chosen seven-parameter S-base. 
Assume the new S-base to be chosen in the terrain coordinates X. ^, Y. 4 Z4 ^ 
X Y Z Z 
n-1' n-1' ^n-1' "n 
The constraints-matrix B should make some of the elements of the new matrix 
equal to zero without, however, changing the other elements of the solution 
vector. 
The (7xm)-matrix B then becomes: 
f. iN 10'0 0000000 
0100000000 
0010000000 
(20) 
0.0.0,.10.0.00,0.0 
0000100000 
000000410000 
Re one 000000000 
The S-transformation matrix is now constructed according to (16). The (7x7) 
matrix (BD*!) has to be inverted numerically. 
  
  
  
  
  
Note that the solution S is always a different one depending on the chosen 
constraints-matrix B 
Denoting x for the least-squares solution using the mixed 
orientation/coordinate S-base and with xc? using the new coordinate S-base the 
S-transformation simply reads: 
- 403 - 
5 
i 
E 
d 
E 
i 
  
Dudas 
—_ 
INED 
ERE