6B-5-6
(1) experimentation
(a) Establishment of subjects
Fig.5-2 shows the subjects of measurement points and
control points. These subjects measure 20cm x 20cm,and
are made of plastic board. The three-dimensional positions
of subjects were located by the method of intersection and
resection by utilizing a theodolite.
(b) Photographing
Experimentation was carried out for three cases as fol
lows.
Case T.Photographing distance is 5m,Base-height ratio is
1/2.5
Case 2:Photographing distance is 4m,Base-height ratio is
1/2
Case 3:Photographing distance is 4m,Base-height ratio is
1/4
z
Fig.5-2:Subjects of measurement points and control points
(2) Result of analysis and consideration
For the accuracy test, the authors evaluated the three-
dimensional measurement by utilizing photograph and
theodolite. Process of analysis is shown as follows: The
first defined inner orientation parameters of camera using
control points in Fig.5-2. The secondly orientated camera
under the information on inner orientation parameters and
exterior orientation parameters that were obtained by
using an inertial device. The taken photos were enlarged
about 20cm x 20cm,and the photographic coordinates
were measured by a digitizer whose resolution is 0.025mm.
The number of selected control points are 18 points. The
measurement points and the control points are not the
same, but the points from case 1 to case 3 are the same
points. Result of analysis are shown in Table 5-1.From
these results, the average of standard deviation of meas
urement error on inertial photogrammetry system is
0.019m for x, y plane and 0.073m for z depth. The cause
of error will still give incomplete measurement accuracy of
exterior orientation parameter by inertial device, and dis
agree with center of camera lens and inertial device, etc.
Table. 5-1: Results of analysis
Case 1
Actual measurement
Normal"
IPS"
Photographin g
Left photograph
5.019
4.953
5.019
distance H(m)
Right photograph
5.019
5.035
4.966
Base length B(m)
2.000
2.039
1.94 7
Base-height ratio B/H
1/2.5
Measurement error’ 3
X(m)
0.002
0.023
Y(m)
0.001
0.012
Z(m )
0.009
0.114
Standard deviation of
measurement error
X(m)
0.004
0.003
0.025
Y(m)
0.004
0.010
0.016
Z(m)
0.011
0.013
0.112
AZ/Z
1/550
1/44
Case2
Case3
Actual measurement
Normal" 1
IPS'*
Actual measurement
Normal* 1
IPS"
4.019
3.971
4.082
4.019
4.016
4.070
4.019
4.003
4.022
4.019
3.995
4.041
2.000
2.021
1.917
1.000
1.026
1.092
1/2
1/4
0.002
0.025
0.002
0.037
0.001
0.017
0.001
0.014
0.008
0.083
0.009
0.072
0.004
0.002
0.019
0.004
0.003
0.019
0.004
0.001
0.021
0.004
0.001
0.01 6
0.007
0.010
0.079
0.014
0.013
0.029
1/500
1/50
1/440
1/55
*1 Normal:Normal photogrammetric method.
*2 IPS: Inertial photogrammetry system.
+ 3 Measurement error:Absolute value of measured value by photogrammetry
from measured value by theodolite.
Calculate equation of actual measurement cr XY = (H/f) • Op
o 2 -’(1 /0) * o p ( = 0. 028m C7 P =0. 025mm
Note: Me asurements error of Normal.lPS and AZ/Z are average of measurements
of 10 measurement points.
6.Conclusion
(1) This paper’s method has some advantages for method
using GPS; for example, this method makes possible local
positioning system and photogrammetry without using any
control points in indoor, underground and among the
mountains that cannot catch a radio wave from GPS satel
lite.
(2) The device and measurement accuracy have to be
further improved; however, as the results of the experi
ment, a lot of basic data for developing the research could
be collected.
(3) When we do the positioning using accelerometer and
gyroscope , we think that relative accuracy of the result
obtained by movement (The distance is longer and the
difference of elevation is larger.) with some amount de
gree’s of movement improves.
(4) lt is necessary to examine the method not to join the
outside power like the vibration and the impact, etc. to the
inertial device.
(5) Measuring time should be shortened as much as possi
ble. Moreover, it is thought examining the measurement
method is necessary so that ending the measurement on
the way ( If possible, an already-known point is desirable.)
and starting the measurement from the place again can be
done.
(6) This paper showed that it is possible to get exterior
orientation parameter, that is to say information on the
position and attitude of camera, by using an accelerometer
and vibration gyroscope.
(7) This paper developed photogrammetry without using
any control points.