orientation of 
>ngth of lines, 
of equations 
yy used in the 
OWS: 
(13) 
es or in other 
ys With errors 
‘y to know (or 
X ; into 
Y 
IEORETICAL 
"tions, control 
| are free from 
(21 
2) 
(23) 
(24 
Natalia Moskal 
additional unknown quantities 
U'-U - AU (2.5) 
Besides , the measured quantities Y , with the covariant matrix Dr are connected by the equations of corrections 
with the vectors Y , U,so that 
e, 7-By -SAU-W, (2.6) 
The covariant matrix S of vector Y is known. 
We consider the errors for Y, and Y 2 to be divided according to the Gauss law, and for y they differ a bit from the 
Gauss. The dimensions of all the vectors do not cause the indetermination of the linear equations system, that is the 
matrix possess the complete rang. Let us consider as well that the vectors Y. 15 yr are correlated with one 
another. 
, OF 
As far as T'zT FATTO REF CTS Tae, (2.7) 
1 
Than AT ze, 2.8) 
When carrying out the linearization (2.2) we get 
dd à D 0d — 
5 AT += NY +——AU + D(T’Y 'U')=0, 
oT oY’ ol 
or AAT + By + CAU +o, =0. (2.9) 
Substituting expression (2.8) for AT' taking into account (2.6), we get the initial system if equations 
De, +B, +CAU +w, = 0 
(2.10) 
E, +81} + SAU +0, =0 
where D =A0 @11) 
Let us make the adjustment for (2.10) under the condition of the minimization of function of losses, with 
2 2 2+d 
Pp (e,)=8,", P (&,)=e, p (v )=} (2.12) 
  
where d - parameter of unsquareness. 
Let us compose the function of Lagaran, for conditional equations (2.10) where we introduce the sum marked with Gauss 
zi 
symbols instead of'y ’ NS y 
2+d 
2+d 2+d 2+d 
V. - [pv : |= mv, +py; ++p “, (2.13) 
  
International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B3. Amsterdam 2000. 627