Full text: Commissions III and IV (Part 5)

  
  
  
  
28 
The coordinates of the points 3 and 5 in the image pair 7,2 + 1 are 
Tiris = 0 654140 
(72) 
Yii+1s = b Yiu 1,5 —_— — b 
The coordinates of the points 4 and 6 in the image pair à — 1,4 are 
Li 144 b X; N 1,i,6 — b 
(73) 
Yırıza = 0 Yi—146 = —b 
Substituting (70)— (72) into the expressions (17) and (18) we find 
de, ,.,— dz; ;5;= dx, — bd; , (74) 
dy; 1i4 — AY; 15= dy,. + db; ; (75) 
dz; ,;,5— dX;; 15 = dz, + bdo; (76) 
dy; -1,5,0 dy; ; E15 — dye, T db, ; +1 (77) 
The solution of (74)—(77) gives 
I 
dx. E (dx; 1,54 7 dac, ; 13 d; 116 7 dx; ; -1,5) (78) 
I - 
do; = > (dy; 1;4 — dy; ia + dy; 146 — Wiis) (79) 
1 
da = 5 l de; ; 15 — dx; 15— do; ; + dx; Ge) (80) 
: 2b i+1, i+i, À, i, 
1 
db; ; HL 3 (dy; ; 5 dy; ; L8 dy; Lie dy; 1.1.6) (81) 
- 
For the determination of the accuracy (the standard errors) of the 
expressions (78)—(81) the corresponding weight numbers have to be 
computed. 
For this purpose it has to be noted that the errors of the coordinates 
in the expressions (78)—(81) are functions of errors of the oriented 
image coordinates zy’ and x”y”, which are functions of the errors of 
the image coordinate measurements w’v’ and u”v”. These measurements 
are to be regarded as the basic observations which are independent and 
the errors of which are assumed to have a normal distribution. The 
 
	        
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