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For the above purpose models of ancient monument parts are
subjected to seismic tests using the 6DOF earthquake
simulator of the Laboratory of Earthquake Engineering of
NTUA. Since the movement in space of the test objects would
be rather unpredictable continuous monitoring was required.
Hence stereoscopic video was employed and the system
described has been developed. The details and the first results
of these experiments have been presented elsewhere
(Georgopoulos et al. 1995). A brief description will be given
here in order to present the applicability of the system.
The initial tests involved research into all aspects of the
experiments. Namely the video cameras to be used, the
construction of the whole setup and the algorithms employed
in order to achieve the best possible results. The first
simulation experiment was taped using two commercial
camcorders. One was a SONY Handycam 10x Video 8 AF
with 310.000 pixels and the other a SONY Handycam Pro
Video 8 AF (V90) with 440.000 pixels. Around the object and
independently thereof a test field was setup with 16 premarked
targets. The targets were black circles on white background,
approximately 30 mm in diameter. In addition three targets
were attached on the object itself, in order to enable the
determination of its displacements. The co-ordinates of the
targets were determined using a Leica T1010 electronic
theodolite equipped with a Leica DIOR 3002S EDM, with an
accuracy of £3 mm. The two cameras were positioned on
tripods at a distance of 5 m from the setup with a base of
0.70 m, thus providing a base-to-distance ratio of 1:7. Imagery
was acquired simultaneously with both cameras and was
recorded on VHS 8mm tapes. The frames were grabbed using
the Screen Machine Il from FAST Electronics frame grabber
with a resolution of 736(H)x560(V) pixels. This commercially
available frame grabber has the usual standard features and is
escorted with an image editing software with rather limited
capabilities.
In order to overcome certain algorithmic problems involving
two different cameras into the calculations, a second series of
experiments was conducted with two identical Panasonic K900
VHS video cameras. The same targets were used and they
were measured with greater accuracy using only electronic
theodolite measurements from two stations. Their co-ordinates
were determined with the help of intersection in space with a
final accuracy of +1 mm. In another experiment (Figure 3),
where a 1:3 model of a Parthenon pillar consisting of eleven
cylindrical rings was tested two identical professional Beta
video cameras were used. These cameras were offered by a
major Greek commercial TV Channel and were genlocked
specifically for this experiment in order to produce absolutely
synchronised frames. They were able to record 50 frames per
second, thus increasing the sampling rate of the moving object
and the amount of the data stored.
Several algorithms were either developed or used from
previous work. These algorithms involved mainly a specially
developed target location algorithm, a suitable camera
calibration procedure and the necessary calculations for
determining the ground co-ordinates of the points of interest.
There were three presignalised points on each pillar ring.
By calculating the co-ordinates of these targets in space the
absolute position of each one of the object blocks would be
determined. This determination was carried out both
monoscopically, for the case where the object was forced to
Swing in one plane, and stereoscopically.
In cases the pillar would perform displacements in 3D space,
the object co-ordinates of the observed points are calculated
by a two camera triangulation algorithm. Image co-ordinate
measurements of the points of interest are performed
115
automatically on simultaneous views of the object in order to
avoid manual identification of the targets on each frame.
Simultaneity is achieved by matching the frames with the same
time clock indication. Since absolute synchronisation of the two
cameras in the initial experiments required special hardware,
which was not available, the synchronised frames were
manually determined. Although the proposed method is very
simple, many problems may occur in practice. The most
important problem is that the clock is not clearly recorded in
all video frames. Hence, due to image deterioration in certain
cases it was necessary to pick frame pairs with frames having
a time difference of as much as 0.05 sec. This was, however,
considered as having little effect in the final result. Of course
there was no synchronisation problem the case of the
experiment taped with the two genlocked cameras.
The image co-ordinates of the observed pillar points are
introduced into the computation as tie points with unknown
positions. For each tie point 3 additional unknowns and 4
observation equations are added.
A RMS error from the comparison between the object points'
co-ordinates and the co-ordinates computed by the
triangulation was calculated. Concerning the first experiment
with the two SONY cameras, the observed errors were 4 mm
in the X and Y directions and 8 mm in the Z direction. The
results are better in the case of the two Panasonic KS00
cameras, where the observed errors were 1.5 mm in the X
and Y directions and 4 mm in the Z direction.
These results are quite encouraging considering the hardware
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Figure 4
used. Moreover the amelioration of the final accuracies in the
case of the second experiment is not a result of the different
cameras used, but of the better accuracy of the measured
control points’ co-ordinates.
After the calculation of the co-ordinates of the pillar points for
the whole duration of the experiments a comparison was
attempted in order to assess the relative and absolute
precision of the method. The comparison was performed with
the similar results obtained from the conventional displacement
meters measurements of the same experiment. Moreover the
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B2. Vienna 1996