In: Paparoditis N., Pierrot-Deseilligny M.. Mallet C.. Tournaire O. (Eds). IAPRS. Vol. XXXVIII. Part 3A - Saint-Mandé. France. Septentber 1-3. 2010
3.2.SRTM Registration for Stereo IKONOS Images
Bias compensation experiments are conducted in both image
domain and the real world (object) domain. The results for
object domain correction are better than pixel domain
correction and in this paper, we provide only the results for the
object domain correction algorithm. Since the errors (RPC bias)
are mainly caused by satellite's own mislocation, the corrections
in real world coordinates are more effective.
In Table 2, geolocation and height errors are given after bias
correction is achieved. For stereo image pair registration, the
same region (IKONOS HOBART) is used during these
simulations.
Note that, the height error is larger than the SRTM height error.
This is acceptable, since the registration error includes the joint
effects of SRTM height error, RPC error and interpolation error.
SRTM alone, does not provide any information about the
satellite image without registration.
Mean error
terror
RMS
Latitude
2.43x10' 5 °
1.53x1 O' 5 0
2.873xl0‘ 5 0
Longitude
-1.76x10' 5 °
1.46x10’ 5 °
2.288xlO- 50
Height
-5.30 m
4.27m
6.8m
Plannimetric
error
3.28 m
1.71 m
3.69 m
Along UTMX
-1.43m
1.15m
1.83 m
Along UTM Y
2.75m
1.65 m
3.21 m
Table 2. Error figures for SRTM-image registration, after bias
compensation using stereo pairs, for 121 GCPs. IKONOS,
Hobart region, Australia
The increase in the error along UTM Y hints the limits of the
bias removal approach.
It should be noted that the error figures in Table 2 are better
than the RPC projection errors (~5m plannimetric error) . This
result is remarkable, since our errors in SRTM registration
include both RPC bias and SRTM geolocation error. The bias
terms cancel each other for Hobart region. But they may add up
to increase the error power and worsen the registration for some
other region. Thus, a more thorough experimental study is
required.
4. CONCLUSION
This paper presents a method to register high-resolution EOS
images to SRTM data without GCPs. The method can be used
for both stereo and single-image cases, providing better
accuracy for the stereo case due to the utilization of stereo
correspondences. Although the experiments presented in the
paper cover only the IKONOS images, this methodology can be
applied to other satellite images as long as object-to image
projection information is provided.
The SRTM sampling quantizes latitude and longitude, not the
ground sample distance, and for the Hobart region, the
longitude lines are closer to each other than the latitude lines
are. On the other hand, IKONOS data is not in harmony with
the geodetic coordinates. Since the IKONOS RPC coefficients
are defined over the [latitude, longitude] grid and parse the
earth surface from south to north while the Earth is rotating, the
error figures for different regions may change. This change may
be more severe along UTM X.
An application of this method could be in stereo
correspondence generation. Once the registration is performed,
each pixel in one of the image pair can be mapped to its
conjugate in the other image with only a few pixels of error. For
the urban areas, this error may increase due to building heights
or recent changes in the terrain. Even in this case, the region
that the conjugate point lies is still bounded to a radius of at
most a few ten pixels about the estimated point (for tall
buildings) In such a small region, the search is fast. This
provides significant processing time savings in stereo
correspondence determination, which is a key and time
consuming step of surface reconstruction. Our recent
preliminary experiments agree with this conclusion, but are left
to another text.
Acceptable accuracy for registration is determined by the
application. For example, if the registration output will be used
for generating initial estimates for stereo (conjugate) pair points,
the required accuracy is the radius of the search range of the
stereo correspondence extraction algorithm.
For image orthorectification, obviously, more accurate
registration results in better orthorectification.
If the registration output will be used as initial geodetic
coordinate estimates for surface reconstruction, the registration
output must reside inside the correct bowl of the error surface
for the optimization cost function. At this point, it is difficult to
determine what accuracy is required, since the complicated
projection (rational polynomial model) functions results in very
high order error surfaces and the projection function's
coefficients (RPCs) are different for each scene. Thus, although
very coarse initial estimates can provide sub-meter accuracies, it
is preferable to generate the initial estimates as accurate as
possible. Additionally, even if the accuracy of the initial
estimates are unimportant for surface reconstruction, a good
initial estimate will fasten the convergence of the reconstruction
algorithm.
This methodology may also be useful in applications that do not
require sub-meter accuracies and recent changes in elevation
(e.g., some cartography, civil engineering applications), without
terrain reconstruction.
This study should be considered as an initial step. A proper
error analysis that accounts for the effects of SRTM and image
accuracies is still required.
REFERENCES
Arevaloa,V., Gonzaleza, J., 2008, “An experimental evaluation
of non-rigid registration techniques on Quickbird satellite
imagery”, International Journal of Remote Sensing, Vol. 29,
No. 2, pp.513-527
Bouguet, J., 2000, "Pyramidal Implementation of the Lucas-
Kanade Feature Tracker: Description of the Algorithm",
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