International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B7. Istanbul 2004
4. EXPERIMENT I: TIMBER BEAM
The beam modelling strategy and parameter testing procedure
was assessed using two laboratory-based experiments. The first
experiment involved the controlled loading of a timber beam on
an indoor test frame based in the Department of Civil
Engineering laboratories at Curtin University. The beam, which
had dimensions of 5.2m x 0.2m x 0.1m, was supported at each
of its ends. The loading was applied by a hydraulic jack that
was positioned at the centre of the beam.
A total of eight load increments were applied whereby a
nominal 5mm of vertical displacement (at the centre of the
beam) was induced on each occasion. A ‘dead load’ was
collected at the beginning of the testing permitting the capture
of a zero-load case. À dial gauge was positioned in the
approximate centre of the beam and was used by the jack
operator to assist in determining each 5mm increment (it was
not used for analysis). The total downward vertical deflection
measured at the centre of the beam was approximately 40mm.
4.1 Instrumentation
Two TLSs were used during these experiments: a Cyra Cyrax
2500 (Leica Geosystems, 2004) and a Riegl LMS-Z210 (Riegl,
2004). The Cyrax 2500 is capable of acquiring three-
dimensional points at a rate of 1000Hz. The scanner's range
precision is £4mm (10) and it possesses a coordinate precision
of 56mm (16). The LMS-Z210 collects points at a rate of
6000Hz. Though faster than the Cyrax 2500, its range precision
of +25mm (16) is much poorer. Its point coordinate precision,
at the distances used in this research (<10m), is commensurate
with its range precision (i.e. £25mm).
With respect to imaging resolution, the Cyrax 2500 has a
minimum sampling interval of less than Imm (at 10m) but this
resolution is tempered somewhat by a laser beamwidth of
approximately 6mm at the same range (Lichti, 2004). The
LMS-Z210 has a relatively large beamwidth compared to most
commercially available TLSs. The beamwidth is approximately
30mm at 10m and the TLS has a minimum sampling interval of
[3mm at 10m. Further information regarding these instruments
may be sought from the respective manufacturer’s website.
Close-range photogrammetry was used to control both major
experiments. A Kodak DC420 with a CCD array of 1524 by
1012 pixels (square pixels with a 9um width) fitted with a
{4mm lens was used. In all cases, the focal ring was set to
infinity and secured with tape. The cameras were calibrated
before and after each experiment.
4.2 Data Collection
The Cyrax 2500 was located 5.4m from the centre of the timber
beam and to the left of the laboratory and the LMS-Z210 was
positioned 6.4m from the centre of the beam away to the right
of the laboratory. Both instruments Were set up on stable
footings and were not moved for the entire experiment. It was
assumed that the TLSs were completely stationary for the
duration of the testing, which lasted. two hours. Neither
instrument. was force-centred over a pre-marked known point.
The LMS-Z210 was levelled but the Cyrax 2500 was not (it
does not have a level bubble).
During loading, high-resolution scans were collected at each
epoch by each of the scanners. The Cyrax 2500, which has a
relatively slower data capture rate than the LMS-Z210, only
acquired a single scan per load epoch. The LMS-Z210, which
offers a relatively coarser coordinate precision than the Cyrax
2500, captured three repeat scans of the beam that were
averaged to produce a single mean scan, theoretically reducing
the coordinate standard deviation of points to 14mm.
Twenty-five photogrammetric targets were affixed to the face of
the beam. Others were placed around the room and on stable
components of the test frame. The photogrammetric
coordination of the array of targets provided a common
coordinate system for the TLS datasets.
4.3 Photogrammetric Results
Photogrammetric data processing task was performed using
Australis digital photogrammetric software (Fraser and
Edmundson, 2000). The photogrammetric network was treated
as a free network adjustment and the datum was defined by the
stable targets. Several scale measurements Were made using a
steel band. The RMS of coordinate standard deviations of the
targets was +0.14mm (10) and +0.15mm (lo) for X and Y,
respectively and +0.04mm (16) for Z, the most crucial direction
for this experiment.
4.4 Scan Data Pre-Processing
Since both TLSs were set up at different positions, both
scanners used the targets coordinated by the photogrammetric
process to resect their relative positions and orientations. The
dead load case for each TLS was used for this purpose. Once
the resection parameters were derived, subsequent clouds were
transformed into the photogrammetric coordinate system. A
total of 11 control points were used for the Cyrax 2500
resection and. 15 control points were used for the LMS-Z210
resection. Whilst the transformation process serves as an
additional error source (Gordon and Lichti, 2004), it was a
necessary task to enable direct comparisons of vertical
deflections from the photogrammetric and TLS data sources.
Once all scan data were in the same reference frame, the
individual scan clouds were manually edited to remove all scan
points except for those on the top surface of the beam. The top
of the beam was used for analysis because vertical deflection
was the most pertinent for subsequent structural analyses. The
extracted beam top clouds, though composed of irregularly
spaced points, had an approximate sample interval of 5mm for
the Cyrax 2500 and 15mm — 20mm for the LMS-Z210.
4.5 Beam Modelling
The timber beam conforms to the simply supported example
shown in Figure 1. Therefore, Eq. 2 was adopted for this
experiment. All TLS data for a single epoch were processed in
one adjustment, thus simultaneously solving for the left (71) and
right (z,) models. The mean number of points used for each
solution was 7364 for the Cyrax 2500 and 1099 for the LMS-
7210. Clearly, there were more observations available for the
Cyrax 2500 dataset, which was a function of the smaller
sampling interval offered by that TLS. The overall RMS of
residuals from the least-squares adjustments was +().6mm for
the Cyrax 2500 and +5.4mm for the LMS-Z210. The difference
in the size of residuals largely reflects the observational
precision of each scanner.
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