To illustrate this point, take Figure 1 as an example,
but assume that there are really four photographs rather
than two (which would be more apt to be the case in
practice). Also assume that there are 300 targets on the
object and that all targets are imaged on all photographs.
For observed values we will have all photographic measure-
ments Xjj,Yij which total 2,400 (2 measurements per image
x 300 images per photograph x 4 photographs). For
unknowns we will have the locations of the exposure
stations and the directions of the camera axes which
total 24 (6 unknowns per photograph x 4 photographs) plus
the 900 unknown coordinates of the targets (3 coordinates
per target x 300 targets). All told there will be 2,400
equations containing only 924 unknovns -- a system over
determined by a factor of 2.6)
An interesting feature of this solution has a very
important practical impact insofar as on-site work 1s
concerned. Even though we are really interested only in
calculating the X.,Y
j Ze coordinates of each target, we
3 9
are also calculating the locations of the exposure
stations and the directions of the camera axes at the
same time. The ramification here is that it is totally
unnecessary to pre-survey exposure station locations or
to pre-determine camera pointing directions except in a
very nominal sense so as to obtain the desired photo-
graphic coverage.