this may be expressed by including two, one or three
condition equations stating that the final values of
the relevant X,Y,Z coordinates should have, as nearly
as possible, their known ground control values, xx
Other external conditions will be considered later (Para 5).
x Unidentified, since the photo coordinates in this
photo are known (0,0), and are not observed in any
other photo, It may be noted that the excess of
observation equations over unknowns is unaffected,
Since each is increased by two when the principal
point is included, and that this is the one point
which need never be rejected as being a bad
observation?!
xx This is known as a flexible control condition,
mostly to be used for height control, or when an
abundance of, perhaps unreliable, plan control is
available; the alternative, rigid control, is simply
to hold the corresponding coordinates rigidly at
their known values, and reduce the number of variables
accordingly.
3. Provisional Coordinates
For the method to work ecomomically, it is essential
that the provisional coordinates are sufficiently close
to the final coordinates to neglect second order terms,
so that the linear observation equations do in fact apply.
With near-vertical photography, very approximate
coordinates are first obtained by the methods of Appendix C1
or C2 (C2 is preferable if threex points are known), and
are then improved by a simple method such as that of
Appendix D, iterated i? necessary.
With oblique photography, the most fruitful approach
seems via the method of Appendix C2 (again assuming threes
points known): having obtained accurate coordinates (U,V,W)
of the air station, which may take s everal iterations if
there is no prior information as to tilt, and having levelled
the ground plane xx(para 3,ibid.), one can substitute U,V
for X,Y in the "exact equations" (para 1,ibid.), and solve
for x,y, the photo coordinates of the plumb point. If one
now relevels the photo plane so as to make this plumb point
the new "principal point" (0,0), one can then repeat the
whole of Appendix C2 with the assurance that the new levelled
ground plane will in fact be parallel to the datum plane.
Improvement by Appendix D follows as in the vertical case.