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International Archives of the Photogrammetry, Remote Sensing
3.1 Results With Ikonos Imagery
The test was carried out using a sample panchromatic Ikonos
stereo pair (ortho-kit product level) that was provided by Space
Imaging, and a 30m USGS DEM. First, the RPCs supplied with
the images were refined with three high-accuracy GCPs using
the refinement method described in section 2.2. The RMS errors
at these GCPs before and after the refinement are given in
Table 1. Then, using the above data, 33 well-distributed
horizontal distances were measured using a single image and a
stereo pair. In addition, measurements of the same distances
were carried out in stereo using two leading commercial
photogrammetric packages: PCI Geomatica© and ERDAS
ImagineO. Both packages support the RFM.
Ikonos left Ikonos right
Line Sample Line Sample
Original RPCs 5.37 5.34 5.21 5.04
Refined RPCs 0.57 0.12 0.57 0.32
Table 1. RMS errors in image space (Unit: pixels)
3.1.1 2D distance Measurement. An analysis of the
Horizontal distance differences was carried out as the
following: first the single image (“mono”) measurements were
compared to the stereo pair measurements that were obtained in
PCI Geomatica© and ERDAS Imagine© (Figure 3a and 3b).
Then the performance of the stereo processing scheme was
compared to the stereo pair measurements that were obtained
from the two software packages (Figure 3c and 3d). In addition,
for each comparison a Gaussian curve was fitted (red curves in
Figures 3a through 3e).
The summary statistics of the various comparisons are given in
Table 2. The residuals that were obtained are bellow 1.5 m in
all the cases as can be observed from Figure 3. No systematic
effects were detected in all cases. It should also be noted that in
both comparisons of mono to stereo pair measurements a higher
standard deviation was obtained than in both comparisons of
stereo measurements in SilverEye to stereo measurements in the
other packages.
The largest standard deviation is smaller than 0.8 m for these
comparisons. And this shows a sub-meter relative accuracy
when measuring object dimensions using the RFM. It is
interesting to note that the residuals that were obtained between
SilverEye to PCI and ERDAS (Figures 3c and 3d) in the stereo
measurement mode are of the same magnitude as the residuals
that were obtained between PCI and ERDAS in stereo mode
(Figure 3e).
Silver Eye Silver Eye Silver Eye Silver Eye
(mono) (mono) (stereo) (stereo)
vs. Vs. Vs. Vs.
PCI ERDAS PCI ERDAS
(Stereo) (Stereo) (Stereo) (Stereo)
Mean 0.09 0.12 0.03 0.03
Std +0.50 +0.49 +0.70 +0.72
Min -0.85 -0.84 -1.23 -0.72
Max 1.14 1.13 0.90 0.62
Table 2. Summary statistics for mono and stereo 2D
distance measurements (Unit: meters)
and Spatial Information Sciences, Vol XXXV, Part B7. Istanbul 2004
INI 4 I
(a) (b)
(c) (d)
M,
(e)
Figure 3. Evaluation of the distance difference: (a) SilverEve —
mono vs. PCI — stereo; (b) SilverEye — mono vs. ERDAS
Imagine — stereo; (c) SilverEye — stereo vs. PCI — stereo;
(d) SilverEye — stereo vs. ERDAS Imagine — stereo
(e) PCI — stereo vs. ERDAS stereo.
(In all figures: x axis represents residuals in meters and y axis
represents the residual frequency)
3.1.2 Height Measurement. A second test was carried out in
order to evaluate the performance of the single image (*mono")
and stereo-based height measurement in SilverEye. A set of 22
buildings were selected in the downtown San Diego, and four
measurements were carried out for each building: mono and
stereo height measurements with SilverEye, and stereo height
measurements in PCI GeomaticaO and ERDAS Imagine©. The
results that were obtained are summarized in Table 3.
Silver Eye Silver Eye Silver Eye Silver Eye
(mono) (mono) (stereo) (stereo) vs.
Vs. Vs. Vs. ERDAS
PCI ERDAS PCI (Stereo)
(Stereo) (Stereo) (Stereo)
Mean 0.34 0.34 -0.45 -0.45
Std +1.54 31.53 +0.75 +1.06
Min -1.37 -1.74 -2.26 -2.12
Max 4.27 4.45 1.13 1.92
Table 3. Summary statistics for mono and stereo building
height measurements (Unit: meters)
In this case largest residuals (above 4.0 m) were obtained for
the mono measurements in comparison to the sterco
measurements (bellow 2.0 m). However as can be found from
Table 1, the standard deviation for single images is comparable
with that for stereo images. This is because the orbit height of
satellites (approximately 680 km) is significantly larger than the
object heights and the shifts of terrain elevations of the building
footprints in the coarse DEM relative to the true terrain
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