4.2 Single Stereopair Processing
The camera parameters resulting from the self-calibration are
shown in Table 1. As the image units used are in pixels and
considering the pixel size is 8.75 u m, then it’s easy to see that
the calibrated camera interior parameters are very closed to
those mentioned in section 2.1.
Table 1 Camera Parameters
Para. Self-calibration
camera 1 camera 2
fx 916.885 920.403
fy 916.885 920.403
x0 326.939 325.119
y0 247.464 239.608
K1 1.829¢-7 1.959e-7
The relationship between the camera center and GPS antenna
can be determined through distances as shown in Table 2. Only
distance relationships are constant as the bar is moved, rotated
or tilted during the image acquisition. For the purposes of this
experiment, the camera/GPS mounting bar is considered as a
rigid body(even though because the reason of material used, the
bar was still distorted during photography). For further dynamic
mapping purposes, additional sensors for tilt orientation of the
bar maybe needed.
In this experiment, the distance relationship between the
cameras and the GPS antennas in fact are preserved, but the
calibration results and the GPS surveyed results of the three
stereopairs are quite different from each other. This is just a
result of the image coordinate measurement, GPS observations
and the limited control accuracy.
Table 2 Relationship between GPS and camera (m)
parameter station] station2 station3
| DGleftCleft 0.139 0.122 0.139
DGrightCright | 0.093 0.152 0.160
DGleftCright P135 1.161 1.165
DGrightCleft 1.125 1.108 1.075
DGG +117 1.137 1.118
DCC 1.138 1.117 1.104
where, D —distance, G- GPS antenna, C = camera
As shown in Table 3, the effect of radial lens distortion is
significant. Inclusion of the Kl parameter results in an
improvement of between 3096 and 5096 over not using the
parameter. That means that the geometric distortion of current
CCD camera is an important factor what must be considered.
About the effect of higher order terms of lens distortion will be
investigated in the coming experiment. In this experiment the
accuracy of control point coordinates can reach only 5mm and
the accuracy of image coordinates measurement is about half
pixel. Due to the limitation of the camera resolution and the
blurredness effect, even though imaging in the evening to
enhance the background/foreground contrast, the accuracy
improvement of image coordinate measurement is still very
insignificant.
Table3 The accuracy assessment of calibration (m)
DET Self-calibration
# kl ki1+k2 | kl+k2+pl+p2
N | 0.014 | 0.014 0.007 | 0.008 0.008
E 10.072 0.063 0.054 | 0.053 0.055
H- [0.012 0.010 0.009 | 0.007 0.008
The RMSE is computed based on the check points which are
not included in the calibration process.
4.3 Multi-image Simultaneously Processing
Since the imaging baseline length is limited by the mounting
bar, it is hard to improve the accuracy of spatial intersection
depending on only one stereopair. The same three stereopairs
are then processed simultaneously. The resulting relationships
between GPS and Camera are shown in Table 4.
Table 4 Relationships from multistation adjustment (m)
arameter station | station2 station3
DGleftCleft 0.1215 0.1222 0.1205
DGrightCright 0.1720 0.1588 0.1784
DGleftCright 1.1338 1.1689 1.1560
DGrightCleft 1.1269 1.1088 1.0874
DGG 1.1169 1.1365 1.1182
DCC 1.1272 1.1253 1.1072
Comparing these results with those of Table 2, the RMSE
(computed from the difference of the offset and its average
value from three stereopairs) of the latter is 0.0108m more less
than that of 0.0175m. Also the accuracy of spatial intersection is
improved evidently as shown by the comparison of Table 3 and
Table 5. For example the relative accuracy of position (N.H)
comparing with the size of object is improved from about 1/310
to 1/700, and the relative accuracy of depth is also improved
from 1/180 to 1/1100.
Table5 The accuracy of multistation adjustment (m)
RMSE Case I Case II
N 0.0092 0.0049
E 0.0250 0.0091
H 0.0034 0.0029
where, in the Case I the three camera stations are in a horizontal
plane, and in another case they are in a vertical plane.
4.4 The Effect of Imaging Configuration on the Accuracy
Because the network configuration is also very important to the
accuracy of intersection, in order to achieve higher mapping
precision by multi-station imaging, careful attention must be
paid to the design of the photogrammetric network (Fraser,
1996). In order to analyze the effect of configuration on the
photogrammetric accuracy, there were two different station
configurations designed. The first one including three
stereopairs is illustrated in Figure 5, in which he height
differences of these three stations were very small, i.e. they
were set almost in a horizontal plane; another group of
convergent images were taken as shown in Figure 6, in this case,
the stations were set in a vertical plane. Since taking more
robust imaging configuration, the accuracy is increased by
about 4096 to 6096 as shown in Table 5. In such case of
configuration, the relative depth accuracy can reach 1:1100.
From Table 6, it is also easy to see that the baseline/distance
ratio is a very important factor of configuration to the
photogrammetric data quality. To increase the baseline will
cause to decrease the overlap, so in our experiment the largest
convergent angle can be only about 42 degrees. On the other
hand, the distance from object to camera is also the key factor
on mapping accuracy. However because of the limited
dimension of the test site on the building top, such experimental
analysis with respect to the imaging distance has not been done.
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