4.3 .Fig..1 shows. that auxiliary data of poor precision, as
they will easily be available, are already most effective.
In our example of 1:60 000 photo scale positioning data for
camera stations with standard errors of 10 m (and attitude
data with standard errors of 70 mgon, 1 mgon = 1,6-10-$)
give hlock. accuracies of 1,9 min x'and y agd 3,00 in°z. ‘In more
general terms the block accuracies are Uxy /50 = 2,1 - and
Hz/00 = 3,3. With regard to the vertical Accuracy it is more
general to introduce a standard vertical precision of oogz -
09/2/0 (© = base height ratio). Then we obtain uz/097 = 1,4.
These results refer to the weights of auxiliary data of
Pxo.yo,zo 7 2»25-10712and p, , &: - 182-10* um*. If compared to
standard aerial trianguls on without auxiliary data it is
evident, that the same results could only be obtained with
quite dense ground control.
With increasing precision of the navigation data the resul-
ting block accuracies improve almost linearly, reaching the
oo and Sog level for ux,y and uz with standard errors of the
auxiliary data of about > m (15 mgon) or weight ratios of
5.1071? (4.10?um*). Thus, with still moderate precision of
the auxiliary data, results are obteined which would conven-
tionally require very dense ground control. If, eventually,
the standard errors of the orientation data will be < 0,5m
(and < 1 mgon) the results will be truly in the high precision
range of aerial triangulation, opening most interesting app-
lications for large scale mapping, too.
The simulation results show clearly that auxiliary position
data have the major effect on improving aerial triangulation.
Additional attitude data change the results very little.
Attitude data alone give very much poorer results than posi-
tion data. The conclusion is, therefore, that navigation
systems which give position data are of prime interest for
aerial triangulation. 2 chains of vertical control are re-
quired in this case, in order to avoid near-singularity.
The situation changes completely, however, if the precision
of attitude data is in the order of about 5 mgon (310-*) or
better. In that case these data stabilize sufficiently the
angular orientation of photographs. The results are then
simular to those obtained with high precision position data
(1 m or better) and can ensure by themselves high precision
aerial triangulation, independent of photo scale.
Remark: The curve showing ux,y for attitude data seems to
represent a different type of relationship than the other
[m] curves in fig. 1. However, these curves too would deviate
from the apparent linearity. If further extended to the
[mgon] right they also would approach asymptotically an upper
4 limit, as auxiliary data of very low precision have no ef-
E fect on the block adjustment.
ed
Myon
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