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A new definition of the normal case of aerial photogrammetry
As stated above the use of the normal case of the terrestrial photo
grammetry applied to aerial photogrammetry may have been a reason
to the fact that the effect of the curvature of the earth has not been
considered in a correct way. Therefore I think it will be useful in the
treatment of the theories to define a special normal case of the aerial
photogrammetry.
The normal case of aerial photogrammetry is defined as a stereo
model of two nadir photographs from the same altitude.
The two photographs of this normal case have convergent nadir
b
directions. As is known the convergence angle is ^ or b c if the length
of the base is b km.
Particular attention is to be drawn to the following fact, illustrated
in Fig. 2.
If (p 1 and 0 2 are the absolute longitudinal tilts of the two photo
graphs and these are put in an ordinary stereo plotter the 0 -tilts in
relation to the plotter system will be
b c
T
and 0 2 + ~ respectively
A condition for the absolute orientation of the second model thus is
that the 0 -tilt of the second photograph gets a correction — b c in
relation to its value in the first model.
Determination of the ^-convergence
The single model
If there is radial distortion in the pictures due to lens distortion or
refraction, a ^-convergence will be introduced in the model. There are
several possibilities to determine the ^-convergence if a sufficient
number of elevation control points are known. It is favourable to use
a model of an ice surface, where the heights of all points are the same.
The height deviation in the middle of a model should in a ideal case
points the height errors should be — in relation to a reference
¿R.
plane through the nadir points. If these deviations are not obtained,
there must be a ^-convergence in the model.
The convergence error can be determined for instance if the eleva-