Full text: Reprints of papers (Part 4a)

   
  
   
     
    
   
    
  
   
    
   
      
        
  
     
     
      
      
    
   
   
   
   
  
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Appendix fo the INT. A 
PHOTOGRAMMETRY V. 
  
Met 
Communication to 
VIII International Congress for Photogrammetry 
Reprint from 
Svensk Lantmateritidskrift 
Congress Number 1956 
Commission II 
PRACTICAL APPLICATION OF THEN UMERICAL ADJUST- 
MENT OF THE RELATIVE ORIENTATION 
By 
Stig Thorén, Stockholm 
It has been said that photogrammetry is the art of measuring without 
computing. This elegant description has to some extent been invalidated 
through the demands for great accuracy which in many cases is obtained 
at the lowest cost by means of adjustment computations. 
In the field of relative orientation Hallert has in [1] 1. a. given for- 
mulas for the computation of corrections to the elements of orientation 
by means of residual parallaxes measured at 6 points. The same author 
has later in [2] i. a. dealt further with this problem and increased the 
investigations so that they comprised 9 points. The examples show that 
not inconsiderable improvements in the relative orientation can be ob- 
tained, but even so the methods do not seem to have been as widely used 
as they deserve. The probable reason is that the formulas contain many 
terms. It should, however, be possible to simplify the calculation e. g. by 
means of computation form. 
The author has therefore designed such form, at first both for 6 and 
2 points. It soon appeared that much better results were obtained with 
the 9-point formulas, which have since been used exclusively. 
The formulas given in [2] are valid for Zeiss Stercoplanigraph mo- 
del C 5, with a definition of P, = Y2 — y,. The formulas have been 
adjusted to be valid for Wild A 7 with P, 7 yi — ya. The corrections 
are valid for base in. A simplified version of the formulas will then 
read as follows. 
All pairs of pictures 
dog = ko (— 2p1 — 2p2 + ps + ps Pa + pe + pr + Ps — 2p9) 
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