Equation (114) is repeated: 
Dy xz Dy 
= = © (114) 
Ejyz Fibyz Gly 1 
  
  
  
A similar equation can be derived for the second set of dimensions: 
1 1 1 
Dy; Dyz Dy 
az FIC "oct "9 
3 (128) 
3x2 3% 
Equations (114) and (125) through (128) provide the necessary expressions for 
relating dimensions in the object space which are parallel to any of the coordinate 
planes. Again, the sign of Loss iv or Le is chosen so as to make 91 positive. Likewise, E e 
. 1 T t t : f 
the sign of Ly7> Lez or Le is chosen so as to make 94 positive. 
Concluding Remarks 
The foregoing photogrammetric analysis provides a rational basis for extracting 
mensural data from single photographs of man-made objects. The treatment has been as 
general as possible for a single photograph, notwithstanding that it is limited to 
dimensions in planes parallel to the object space coordinate planes. However, it is 
found in practice that a great many of the dimensions of interest are dimensions of this 
type. 
7 
Several operational procedures have been developed from this analysis and have 
been successfully applied to a number of problems. 
Acknowledgements 
Able assistance and direction in the development of this photogrammetric € 
analysis were provided the author by Messrs. Everett L. Merritt and John T. Pennington 
of the Autometric Operation of Raytheon Company. Acknowledgement is also extended to 
the Naval Air Systems Command, Department of the Navy, under whose sponsorship the 
analysis was made.