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International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part Bl. Istanbul 2004
The standard error of the control point movement in the
adjustment was (0.4, 0.4, 0.1) meters (1 sigma). The. a
posteriori standard error of the focal length estimate was 48
micrometers (1 sigma). This equates to less than 0.1 pixels
at the end of the linear array. The a posteriori standard error
estimate for the roll and pitch camera alignments were 0.5 arc
seconds.
The completion of the camera calibration is the last step in
the initial geometric calibration of OV-3. Various test site
data used to validate the calibration is shown in the next
section.
5. GEOLOCATION ACCURACY RESULTS
The validation of the calibration and the end-to-end system
performance evaluation is done through a series of
geolocation accuracy assessments. These assessments are
evaluations of the system performance compared to exterior
control data.
This section shows the results of two types of geolocation
accuracy assessment of OV-3 imagery: monodrop, and stereo
comparisons.
The check points used in the geolocation accuracy
assessments consist of photo-identifiable ground survey
points in sites around the world. The imagery was collected
over a period of 5 months and demonstrates the stability of
the calibration parameters.
Generally, a geolocation accuracy assessment tends to show
a small diameter cluster of differences for the points from a
mono image or stereo pair. However, the mean of the cluster
is not usually zero and represents a bias for the image or
stereo pair. These biases change from image to image and are
said to be random. Random bias scatter plots are shown in
the figures below.
5.1 Monodrop Comparison
The monodrop comparison used imagery had not been
adjusted through the inclusion of tie points or control
points and represents the direct positioning capability of
the system. To perform a monodrop comparison, the
measured image coordinates were projected down to the
elevation of the check point to determine the latitude and
longitude observed by OV-3. The difference between the
latitude and longitude observed by OV-3 and the check
point are computed and aggregated to form test statistics
such as CE. The imagery was collected in a variety of scan
directions that included: north-south, south-north, east-west
and west-east scan directions. In all, 72 images were used in
this assessment.
The monodrop CE histogram has a median value of 9 meters
and a mean value of 10 meters. The 90-th percentile of the
CE histogram is 18 meters. There is a significant skew to
this CE sample, which is expected when considering CE as a
random variable. There seems to be some variation as to
which metric to use in discussing the geolocation accuracy
of the system. The median CE and the mean CE give
somewhat optimistic views to the system performance and
do not address the variability in performance.
The 90-th percentile of the monodrop random biases sample
ranked according to radial distance from the origin is 14
meters and is shown as the blue dashed line in Figure 10.
0.1
0.05
CE
(meters)
Figure 9: Monodrop Circular Error Histogram
latitude (meters)
725
725720715 710-5 9 35 10 15 20 25
longitude (meters)
Figure 10: Monodrop Random Bias
5.2 Stereo Pairs Comparison
The stereo pairs comparison also used the measured image
coordinates with the post-processed ephemeris and attitude
history data. A relative triangulation was performed using
only tie points. The 3D coordinates of the check points were
determined by space intersection within the triangulation.
The differences between the latitude and longitude observed
by OV-3 and the check points were determined and
aggregated to form the CE test statistic. The difference in
elevation observed by OV-3 and the check points was used
to form the linear error (LE) test statistic.
The stereo pairs comparison test data consists of 15 stereo
pairs located world wide. Due to the smaller sample size, the
histogram bins were enlarged to 3 meters.
0.15
0.05
0 10 20 30
CE
(meters)
Figure 11: Stereo Pair Circular Error Histogram