'anbul 2004
T
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x
++
eld.
As was the case with IKONOS, the achievement of sub-pixel
geopositioning with QuickBird stereo imagery required only the
provision of the APs A, and Bj. However, the nature of the
image coordinate residuals obtained in the bundle adjustment
with shift parameters suggests that drift terms may also be
warranted with QuickBird. The findings of Noguchi et al.
(2004) support this view. The A, and B, biases reached
magnitudes of 30m in the QuickBird stereo images.
4. CONCLUDING REMARKS
The impressive geopositioning accuracy attained with the RPC
bundle adjustment with bias compensation supports the view
that this sensor orientation model has the same metric potential
as rigorous model formulations for HRSI. Implicit in this
conclusion is that the RPCs produced by Space Imaging and
DigitalGlobe are equivalent to the rigorous model, and thus
there should be no concern regarding their applicability in
stereo imagery covering any type of terrain.
In comparing the accuracy results after bundle adjustment with
ground control, we find not much difference between IKONOS
and QuickBird. Both produce the highest accuracy in the cross-
track direction. Also, in the test cases examined, QuickBird
yielded slightly higher accuracy in height and IKONOS
produced better along-track accuracy. The issue of residual
systematic error in the along-track direction is of importance for
users who wish to utilise sensor orientation models based on
low-order empirical functions, such as the 3D affine model.
Experience by the authors and others (e.g. Fraser & Yamakawa,
2003; 2004; Noguchi et al., 2004; Hanley et al, 2002) has
shown that success with models such as 3D affine
transformation is highly dependent on the absence of higher-
order error sources such as perturbations in scan velocity. While
IKONOS Reverse scanned imagery appears largely free of such
effects, the same is not always the case for IKONOS Forward
scanned images and QuickBird imagery. Indeed the authors'
recent experience with QuickBird Basic stereo imagery
suggests that standard low-order empirical models do not yield
very impressive accuracy results. On the other hand, where one
has the opportunity of utilising bias-compensated RPCs, they
should do so with every confidence of achieving optimal
accuracy.
5. ACKNOWLEDGEMENTS
This work has been supported by Discovery and Linkage-
Industry. Grants from the Australian Research Council. The
authors also thank Space Imaging for the provision of IKONOS
imagery, and DigitalGlobe and Sinclair Knight Merz for
supplying the QuickBird imagery.
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