The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part Bl. Beijing 2008
the quality is almost identical. The performance of DG for the
GSD 14cm block is slightly worse. This can also be seen from
the sigmaO which is the worst of all three blocks. For the
vertical accuracy DG delivers less accurate results compared to
the ground control point based AT. This might happen due to
the extrapolation character of DG compared to interpolating AT,
which is less sensitive to any small and non-corrected system
calibration parameters. But even though the vertical accuracy is
worse for DG it still stays within 1.5 - 2.7 GSD.
If one looks for the AT cases based on control points the
sigmaO comes down to 1/5 of a pixel especially when
introducing additional self-calibration. Comparing the two self
calibrating cases (i.e. the fairly complex Griin 44 parameter
model versus the 3 interior orientation parameter corrections)
the finally obtained absolute accuracy is very close in all cases.
This shows that in this case the correction of interior orientation
is already sufficient to obtain high performance for object point
determination. Additionally it was tried to add additional
corrections for radial lens distortion, which in this case does not
lead to any improvement in object accuracy. This shows that
after lens calibration the data is almost free of non compensated
radial distortion effects.
What also should be pointed out is the fact, that the interior
orientation corrections have been significantly estimated from
bundle adjustment using control points exclusively. No
additional exterior orientation (EO) parameters from GPS/IMU
have been introduced. Typically such adjustment is not possible
mainly due to the large correlations between the estimated EO
parameters and the estimations for focal length and principal
point correction. In case of this dual head camera installation
the tilt between the two camera axes and the additional high
overlap of images allowed for the de-correlation of interior
orientation (10) parameters and exterior orientations. From this
the 10 parameters are determined even without use of directly
observed GPS/IMU exterior orientations.
For the GSD 20cm block one final additional adjustment variant
is given, which only relies on the use of 4 control points located
in the four block comer. This is only 5% of the number of
control points used for the previous classical AT. Additionally
the camera perspective centre coordinates from GPS/IMU are
introduced as weighted observations with std.dev. of 5cm for all
three coordinate components (so-called GPS-supported AT).
Note, that no additional unknowns are introduced during
processing, neither any additional parameters for self-
calibration, nor any offset, shift or drift corrections as they are
often used in GPS-supported AT. Thus the obtained accuracy
has to be compared to the “AT no” case of the same block. If
one compares the absolute accuracy the horizontal performance
is slightly worse compared to the standard AT with 77 GCPs.
The east component is in the range of 1/2 pixel GSD, the north
component reaches 3/4 pixel GSD. The height accuracy is
identical to the classical AT case, which shows the larger
influence of perspective centre coordinate observations on
height accuracy mainly.
If one compares the absolute accuracy from check point
analyses to the GSD of each of the flights, the accuracy in east
component is between 20-30% of a pixel, the accuracy in north
is between 35-60% of a pixel. This is clearly within the sub
pixel range. For the vertical axis the accuracy is about 0.8-1.2
pixel GSD.
If finally the empirical accuracy from check point analysis is
compared to the theoretical precision values, one also can see
high agreements, especially for GSD 20cm block and also for
the GSD 7cm block. This in general proves that after use of
additional parameters systematic errors are effectively
eliminated. As mentioned earlier, the correction of interior
orientation (i.e. only three additional parameters for each
camera head) in this case seems to be fully sufficient.
The block GSD 14cm performs slightly worse and shows larger
differences especially in the vertical component. Here the
precision values cannot be reached by absolute accuracy.
Still there are some larger differences between precision and
accuracy values in the horizontal (especially east component),
but one has to keep in mind, that the accuracy of our reference
points is of the same order (1cm) than the precision of this
coordinate. Thus the term “reference coordinates” is not fully
valid, at least for this high quality, 1 -2cm accuracy requirement.
6. CONCLUSION
The results of an accuracy test of a Dual-DigiCAM-H/39 are
reported. From the data obtained during a flight over a well
controlled test field, two topics were investigated.
1. The GPS/IMU trajectory was processed using a local GPS
base station, a virtual base station and using no base station
but only precise 'orbits and precise clock information
(“PPP”). The differences in attitude between the
trajectories are well below the accuracy of the used
GPS/IMU system. The maximum difference in position
between the solutions with the different base stations was
below 2cm. The max. position difference between the base
station solution and the PPP solution was about 7cm for
the horizontal and about 21cm for the vertical component.
It was shown, that for many sensor orientation tasks, it is
not necessary any more to use data of a local base station
or of a virtual base station. The “PPP” method delivers
results with a sufficient accuracy.
2. The geometric accuracy of the dual camera was evaluated
using independent check points. The position of the check
points was determined by direct georeferencing and by
classical AT using different sets of self-calibration
parameters. The use of the focal length and the principal
point as free parameters showed very similar results to the
use of a full set of 44 self-calibration parameters. The
absolute accuracy of the checkpoint coordinates was 0.2 to
0.3 pixel GSD in east direction (flight direction) and 0.35
to 0.6 in north direction (cross flight direction). The
vertical accuracy was about 0.8 to 1.2 pixel GSD. For the
case of direct georeferencing the horizontal accuracy was
in the range of half a pixel for east and about one pixel for
north. The vertical accuracy was about 1.5 to 2.7 pixel
GSD.
The investigations described in this paper confirmed, that the
data from the tested dual camera installation can be processed
successfully with standard software packages noted above.
The calculation of the geometric accuracy showed very
satisfactory results for data processing with traditional AT as
well as with direct georeferencing. Further tests will be done to
point out the performance of integrated sensor orientation with
low number of control points.
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