ISPRS Commission III, Vol.34, Part 3A „Photogrammetric Computer Vision“, Graz, 2002
with respect to the reference solution (GPS/INS), then fast
stereo reconstruction should be feasible. The final, absolute
image orientation can be performed in post-processing.
Figure 5 and 6 illustrates typical differences observed
between the post-processed GPS/INS and free navigation
mode coordinates, and the corresponding rate of change of
these differences. Figures 7 and 8 correspond to Figures 5
and 6, but illustrate the case of a sharp turn, where the
navigation parameters between the two solutions can vary the
most.
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Figure 5. Difference between post-processed and free
navigation coordinates.
Typically, the errors in RO range between 20 arcsec/epoch
(0.01 to 0.03 m/epoch) for straight portions of the trajectory,
to 60-70 arcsec/epoch (0.01 to 0.04 m/epoch) for the curves.
Maximum values observed were ~200 arcsec/epoch and 0.15
m/epoch for the sharp turns. This amount of error, especially
in linear offsets, may preclude real-time processing of the
image pair collected at the curve (which is not really a
problem from the application’s point of view). In general,
considering the image overlap of about 1.3 m (~50% overlap,
see Table 1), the error in relative orientation of about 200
arcsec (maximum observed in our tests) will translate to an
~0.9 mm linear offset, which is practically negligible.
Clearly, the error in the linear component of RO will have
more impact on the image matching speed and efficiency.
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Figure 7. Estimated positioning accuracy.
A - 365
As already indicated, the navigation solution estimated
standard deviations are typically at the level of 2-3 cm for
position coordinates, and ~10 arcsec and 10-20 arcsec for
attitude and heading components, respectively, based on the
variance covariance matrix, for short to medium baselines,
and favorable GPS constellation and signal continuity. Figure
7 shows typical results for the positions. Naturally, the
ultimate measure of the georeferencing performance is the
testing of the integrated (calibrated) system, where the
navigation and image components work in synch, and
provide the final coordinates of the features on the ground.
These, in turn, can be compared to the independently
acquired ground truth. The MMS discussed here has been
calibrated and tested using the ground control points
surveyed by GPS and conventional surveying methods, with
the accuracy of 1-2 cm in horizontal and 2-3 cm in vertical
coordinates. The results of these analyses are presented in
Section 6.
5. IMAGING SYSTEM CALIBRATION
The calibration of the imaging components entails two tasks:
the calibration of the camera system and the establishment of
its spatial relationship to the navigation system. A target area
consisting of 10 main ground targets in a 10 m grid and
extended with satellite points was set up at OSU West
Campus to support this calibration process. Figure 8 depicts a
control point with satellite points, having about 1-2 cm
horizontal and 2-4 cm vertical accuracy, respectively.
5.1 Camera calibration
Figure 8. Calibration range target points.
For camera calibration, images were first acquired in a
laboratory, using a regular grid pattern. Then image
measurements of all targets from all images were obtained in
a softcopy environment and subsequently processed with the
OSU Bundle-Adjustment with Self-Calibration (BSC)
software. Estimates of the focal length, principal point, and
lens distortions were then computed. The additional