ON
controlled experiments. First, the aerial photographs are probably affected by systematic disturbances
in addition to those arising from the lens of the camera, which were determined by laboratory tests.
Primarily there will be influences from the refraction and the earth’s curvature but there will also be a
certain lack of flatness in the negatives; moreover large temperature differences may have a con-
siderable influence. It is always desirable that aerial cameras in addition to laboratory tests be tested
from the air over test fields according to the grid method. The y-parallax method for the determina-
tion of systematic errors in the photographs is by comparison with the grid method an approximate
one.
The conditions of the relative orientation will usually not be strictly satisfied in empirical work.
Even if it can be expected that the operators will perform the relative orientation during the tests
very carefully, a correct adjustment according to the method of least squares is not to be assumed.
The measured y-parallaxes will demonstrate the adjustment situation. Corrections to the final
coordinates with respect to defective adjustment of the relative orientation are not intended to be
computed. Therefore the mean square value of the residual y-parallaxes from measurements in 15
points will be used as a substitute for the standard error of unit weight of the y-parallax measurements.
Obviously this also means a certain approximation.
If there are redundant control points, discrepancies will usually appear which in practice are
adjusted more or less arbitrarily. The formulas for the error propagation are founded upon the
assumption that such discrepancies are adjusted according to the method of least squares. In the
simplified formulas for the accuracy of the final coordinates and elevations which will be used for
the predictions of accuracy it is further assumed that the standard error of unit weight of the y-
parallax measurements is of the same magnitude as the standard error of unit weight of the image
(model) coordinate measurements.
Particular attention will be paid to the question of the statistical distribution of the measured
y-parallaxes and the residual y-parallaxes after an adjustment of the relative orientation.
Finally, it must be emphasized that the majority of the formulas which are to be used for the error
propagation studies relate in principle to comparatively flat ground and approximately vertical
photographs. In partieular the photographs for the controlled experiments of Sub-commission IV:1
were photographed with comparatively large inclinations and over terrain with very large elevation
differences. The influence of these unfavourable factors upon the accuracy determination will be
directly studied too. The basic formulas for the treatment of the adjustment of the relative orienta-
tion and the error propagation will be derived for arbitrary elevation differences.
l. GRID TESTS OF THE PLOTTING INSTRUMENTS
1.1 Programme for the grid measurements in the individual projectors of the
instruments
A glass grid of high and known accuracy must be available for the measurements. Depending upon
the setting of the base, two different combinations of the grid points will be used for the measurements.
1.11 Base zero.
After careful adjustment of the grid in the projector, which must be in zero position, the machine
coordinates of the grid points according to Fig. 1 are measured in the same average enlargement as
during the controlled tests. In every point each coordinate must be determined by at least three
independent settings, readings and recordings. Special forms are to be used (see Appendix 1).
1.12 Base in or out.
Only one base setting, corresponding to a longitudinal overlap of 50 95, is assumed for the measure-
ments. The same average enlargement as during the controlled tests is assumed.
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