Full text: Commissions III and IV (Part 5)

  
  
The following presentation of the solution is complete with respect to 
derivation of the necessary formulas, differential coefficients and auxilia- 
ries. However, with respect to general remarks and basic principles, referring 
to photogrammetric as well as to statistical subjects, reference will occasion- 
ally be made to [1] and [2] which are considered to be available to the casual 
reader. 
II. THE GENERAL PROBLEM OF ANALYTICAL PHOTOGRAMMETRY 
The general problem of analytical photogrammetry may be defined as the 
simultaneous restitution of the orientations of any number of photogrammetric 
records and the reconstruction of the object space by triangulating corresp- 
onding rays. There must be no limitations as to the type and orientation of 
any one camera, sO long as the corresponding bundle of rays corresponds to 
the principle of a central perspective. No limitations must be made with re- 
spect to the number, type and location of control data including absolute 
given, partial given and relative points, so long as the given information 
satisfies at least the geometrical requirements for a unique solution. 
Tn a general solution it must be possible to enforce any number of geo- 
metric conditions concerned with any one or all orientation parameters, as well 
as with any one or all coordinates of the points of the object space. Further- 
more, it must be possible to consider both the plate measurements and the given 
control data as erroneous, whereby the computation must allow the introduction 
of individual weighting factors, Finally, & general solution must derive, from 
the treatment of the redundant information, such expressions of precision which 
will give information about the mean error of an observation of unit weight - 
the mean errors of the orientation elements as well as of the triangulated 
coordinates. 
III. THE CONDITION OF CO-LINEARITY AS THE SOLE 
CONDITION NECESSARY TO SOLVE THE PROBLEM 
OF ANALYTICAL PHOTOGRAMMETRY 
For later reference, & description of a few fundamental photogrammetric 
operators seems appropriate. 
 
	        
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