3. The Fertsch effect has been studied and is estimated as a systema-
tic height error in the contour lines when they are about parallell to the
stereo base. The height errors are of the magnitude 0.0, 0.1, 0.1 and 0.2
metres in the four different tests.
Theoretic study of the height determination
Decause of relative and absolute orientation there are systematic errors
in the heights of the stereomodel. The magnitude of the systematic
component can be estimated by error propagation from standard errors
of image coordinates and parallaxes and of known geodetic heights.
Tests indicate standard errors of unit weight of image coordinates and
parallaxes to be 6 um and 8 yum in estar-film (black-and-white) and
acetate-film (colour) respectively. From Table 5 we obtain a standard er-
ror of unit weight in the absolute orientation to be 0.027 metres.
The errors of the heights also contain an accidental component that
varies within the stereomodel. This accidental component depends on
the standard errors of the image coordinates and on the type of terrain
that is measured. The latter part is estimated to
0.040 metres for rocks
0.070 metres for open fields
0.100 metres for terrain with forest.
Based on these assumptions one can evaluate the error propagation In-
cluding the compensating effects (the same technique as in Hallert,
1956) and the standard error of the elevation as estimated by the follow-
ing formula
G2 — K2s2 + 52 + K2s? F s2
H rel > abs “phot terr
where the first two terms yield a systematic component and the others an
accidental one for each model. K is the scale factor of the negative.
Assuming for example 600 metres flying altitude, black-and-white
polyester film and mainly open fields we obtain
Su — 0.079 metres
This value can be compared with s — 0.103 metres in Table 5. The
difference depends on the uncertainties of the geodetic control measure
ment. Its standard error can be estimated by quadratic subtraction
S — 0.060 metres
geod