parison between different scales these errors are of no im-
portance, because they are systematic and thus are corrected.
Table 4
Errors in <h (in %) caused by incorrect base due to tilt.
Divergency 9 Convergency y
0.5* — 1.5 9 + 16%
1e — 3.0 % + 32 %
2c — 5.9 9; 457659
3¢ = 86 % +101 %
2. 15. Effect of tilt on horizontal parallax differences ( Apt).
With the camera axis not perfectly vertical the measurement
of height differences will be incorrect, although the flying altitude
is perfectly known and the base value is corrected, because tilt
affects the parallax differences (Ap!) measured. In literature
there does not seem to have been made any investigations on the
magnitude of these errors except general statements saying that
the errors will be of little importance for height difference deter-
mination of adjacent terrain details. (For instance tree height
measurements). To give an idea of the errors which can be ex-
pected in this respect investigations have been carried out for
some different cases.
By means of the complete formula for the correlation between
ground coordinates and photograph coordinates (Hallert):
xl *[x (cos @ cos X — sin @ sin 0 sin x) — y cos @W sin © - h (sin 9 cos % + cos P sin wsin X |
x sin P cos — y sin € + h cos 9 cos 9
x'= photograph coordinates, x = ground coordinates
the parallax difference was calculated for a number of tilt angles
and for height differences of 20 and 30 m respectively. The
Apt thus calculated was compared with the Ap! obtained for
truly vertical photographs. The error in parallax difference
A h … :
multiplied by pi gives the error in Ah.
The magnitude of the errors is dependent on the location in
the model of the measured details.
10