included only a single SPOT image in the adjustment we
saw a dramatic decrease in the height precision, and to a
lesser degree in the latitude. We saw this same increase
when we limited the tie points to the upper left corner of
the block in the last bundle adjustment.
Table 2 provides a breakdown of the diagnostic point
statistics generated for each multi-sensor triangulation.
This provides an indication of the absolute accuracy of the
adjusted image-to-ground projections. No significant
pattern is seen when comparing each triangulation, and at
first glance it appears that none of the runs would satisfy
the United States Map Accuracy Standards for a 1:24,000
scale map. But it is important to remember that the
control coordinates of the diagnostic points were also
digitized from the USGS map sheets, and have an
accuracy themselves of >10 meters.
Table 2: Diagnostic Point Statistics for multi-sensor
triangulations. Expressed as Linear 9046 in meters.
Table 3 contains a comparison between the the spot
elevations measured on the stereo models from the first
multi-sensor triangulation and the baseline spot elevations
collected from the GPS controlled stereo models. These
statistics show how well the SPOT controlled solution can
be used in place of a conventional aerial triangulation.
The two solutions match in X, Y, and Z within the
constraints of the National Map Accuracy Standards. The
difference between the two solutions is a fairly consistent
shift, but we can also see that the shift varies between
Strip 7 and Strip 9. We believe that this is caused by the
limited overlap between the photographs in Strip 7 and the
SPOT images.
Table 4 shows the differences in the spot elevations
collected from stereo models generated using the GPS
controlled stereo models, and those generated using the
USGS map sheet controlled stereo models. We wanted to
make these comparisons to see how the multi-sensor
triangulation solutions compared to a conventional aerial
triangulation which used control collected from a less
accurate map source. We can see that the aerial
triangulation using control from USGS maps provides a
slightly better solution than the multi-sensor triangulation.
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B3. Vienna 1996
Table 3: Differences in X,Y,Z coordinates of spot
elevations collected from multi-sensor triangulated stereo
models and GPS controlled stereo models. Units are in
feet.
3.39
32.65
9.46
4.12
8.06
5.14
19.41
8.46
Table 4: Differences in X,Y, Z coordinates of spot
elevations collected from the USGS map controlled stereo
models and the GPS controlled stereo models. Units are
in feet.
6.26
13.63
10.29
Table 5 shows a comparison between the spot elevations
collected from the stereo models created from the first
and fourth multi-sensor triangulation. We saw that the
differences between the two solutions was insignificant.
This was expected based on the error propagation and
diagnostic point statistics. Table 6 shows the results of
comparing the spot elevations collected from the stereo
models of the third and fifth multi-sensor triangulation.
The Circular Error is comparable to the other runs and the
Linear Error is larger. But what is more striking is the
much larger shift in the X and Z components than in the
other multi-sensor triangulation results.
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