AX meas. 
(10) 
sed, the 
nts may 
ctly the 
ical pic. 
las it is 
tandard 
ents for 
| impor. 
ation. 
rallaxes 
: Multi- 
Plotter 
as de- 
inserted 
similar 
tandard 
e isoline 
ultiplex 
vely. A 
termine 
ypes of 
deriva- 
rections 
ntation 
the re- 
lepend- 
nts the 
(11a) 
) ag) 
(1c) 
(11d) 
(116) 
  
0, b 9 
  
  
  
  
  
  
  
  
  
     
    
   
    
    
   
    
     
    
    
     
    
      
   
     
THEORY OF ERRORS FOR CONVERGENT PHOTOGRAPHY 733 
For dependent pairs where only the right 
picture is corrected by the relative orienta- 
tion, we obtain: 
RR (33) (3+) 
m DUE 3] Us 2d? 
1 A? 
+ (Ps + Ps) (= gl- ) 
Aq? 
— (A ee) (+ pe à (13a) 
Cos ¢p2 hsin >) 
dk» — ——À ———— 
emp ( 3b 2d 
COS $»  Lsin 5) 
3b 2d? 
  
  
— Do 
  
  
  
  
  
  
  
COS, = hsin =) 
+ (ps + Ps) ( 3b + Ad? 
à . 
CoS ¢2 hsin =) 
— —— — 13b 
(t+ 20 (2-122) aay 
1 4 12 | 12 — h 
V T s s db = aj ^ 9 (13c) 
à h 
drm uoc 13d 
$» 2bd (Ps — bi — ps + De) (13d) 
23:15 +8 46 À h cos &2 sin $» 
PR zo 
E inm a (Ioa SE) 
h cos ¢2 sin $» 
fer > ( DE MR T ) 
Fic. 2. The geometric condition for h cos» sind» 
convergent photographs. T (Ps + Po) (- d^ Tgp ) 
; ; h cos à sin $» 
The corresponding expressions for vertical + (ps + de) (e : 2 (13e) 
photography can be obtained by putting 
¢=0. We then obtain the expressions given The corresponding weight numbers are: 
in [3]. The weight- and correlation-num- 2 3a ap 
bers can be derived directly from expres- Quy, 7 — + — + — (14a) 
, Hy i 5 ^64 
sions (11a)-(11e). The weight numbers of ; jr 
the orientation elements are the square o. m 2cos'$» , 3H? sin? $» (14b) 
sums of the coefficients of the parallaxes in ii 3p? 4d* 
the respective expressions. For instance the h? " 
weight number Qex, is found as Qesbez = 242 to 
8d* + ht + 124242 h? 
bn: = co a 12 Qoo: 7 1n 89) 
The correlation-numbers between the or- o z 3h? cos? #2 | 2 sin? $ (14e) 
ientation elements are the product sums of ee Ad 36? 
the coefficients of corresponding y-paral- : 
laxes in the expressions for the respective The correlation numbers are: 
orientation elements. The correlation- COS» | hsinós 31? 
lemen Di, = tp on LP) so 
number Que, is for instance: m 3b 2d? 2d? 
-— 252 c ae 4e -— 4c 
pm 2bhd? cos à + 3bh° cos & — 8d?h? sin à — 4d* sin $ — 6/* sin $ (12b) 
  
4b?d* cos $ 
  
  
  
  
  
  
  
  
  
  
  
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