Moire fringes on the structure, but the method may be
used on a few points only and therefore is not suited for
this application. Photogrammtry is on the contrary an
ideal complement to strain gauges, since it provides with
a dense field of 3D deformation vectors, allowing a
precise reconstruction of the panel surface at any stage.
In each loading sequence intermediate configurations
may be recovered while the load is increased in steps.
The initial panel shape must also be known, to derive the
true boundary binding state and stress. The required
accuracy in the direction normal to the panel surface was
set in the order of 0.1 mm over the whole panel.
2. THE DESIGN OF THE SURVEY
Thanks to the simplicity of the task (no semantic
involved, just mass point determination on a smooth,
though very poorly textured, surface) the advantage of
using an all digital solution (i.e. using digital cameras and
automatic surface reconstruction) for the panel survey
was self-evident. In principle, even a near real time
solution might be achievable (though not required), if a
sufficient number of cameras and enough computing
power were available. We opted rather for a mixed
approach, using an analogue camera for image
acquisition, followed by scanning and processing of the
digital images. The main reason for that choice was cost
containment: since most of the funding allocated to the
project was used to buy the loading machine, we were
forced to use the cameras available to our Department,
all of them still analogue metric or semimetric cameras.
Given the accuracy goal, a standard digital camera
would have required a more complex network design,
while an high resolution camera would have been too
expensive. For much the same reason, scanning has
been performed by an inexpensive off-the-shelf DTP
scanner, with maximum resolution of 800 dpi.
Even accounting for the additional burden given by the
scanning process, performing the measurements
automatically on digital images is clearly much faster
than tackling the task by a human operator, hardly
motivated by repeating thousends of times the same
operation.
Among the available cameras, we choose the Rolleiflex
6006 with a 40 mm lens and a 11x11 reseau, for two
main reasons:
e fast operation: in each static condition the load is
maintained by an hydraulic system whose stability
proved to be not very reliable; the shots relative to
each loading stage should be therefore completed in
a very short time, what is hard to achieve using
metric cameras such as the Wild P31;
e scanner deformations: since our scanner may
introduce considerable distortions, we preferred to be
able to estimate corrections on each image, taking
advantage of the reseau.
Simulations were carried out to determine the number of
stations, the image scale and the degree of convergence
of the camera axes. The main constraint on the design
has been the reduced depth of field, which limited the
minimum incidence angle to the object plane. We were
also concerned of a possible decrease in the accuracy of
ls. matching in those areas where the perspective
deformation heavily shrinks the target. Three basic
configuration were selected, all of them consisting of 4
210
images, taken simmetrically, each covering the whole
object (see figure 1):
- a normal case, with horizontal and vertical baselines of
40 cm and minimum distance to the object of 1.2 m;
- a slightly convergent case, with horizontal baseline of
120 cm and vertical baseline of 80 cm and same
distance as above;
- a strongly convergent case, with horizontal baseline of
150 cm and vertical baseline of 70 cm, with minimum
distance to the object of 70 cm.
Moreover, a fifth nadir image was taken to simplify the
target localization procedure (see 5.).
Assuming an accuracy on the pixel coordinates of 1/20 of
the pixel size, the photoscale would not have been
enough to ensure the accuracy on object space at the
maximum scanning resolution. The negatives where
therefore enlarged by approximately a factor 2.5 and the
printed copies digitized.
The panel surface is poorly textured and therefore
correspondencies would be hard to find either for
humans as well as for algorithms. A solution might have
been using a light projector capable to create some
pattern on the surface; we preferred instead to signalize
the panel, making easier, if any, to compare pointwise
the behaviour of the structure subject to different loading
conditions and to use template matching rather than
matching with respect to a reference image.
Taking into account the expected frequency components
of the deformation surface, a regular square grid of
targets (spaced 15 mm) was prepared on adhesive paper
and fixed to the panel, totalling around 2700 point. The
targets simply consist of a black circle with a diameter of
6 mm on a white background and have been prepared on
a laser printer. Their size was computed, after selecting
the photoscale and the scanning resolution, to ensure a
target on average 20 pixel wide.
3. SCANNER CALIBRATION
As mentioned above, a UMAX UC840 Max Vision
scanner has been used; its main the characteristic are as
follows:
- scanning format. 216x356 mm;
module;
- radiometric resolution: 8 bit;
- max optical geometric resolution: 400 dpi across scan,
800 dpi along scan direction; up to 1600 dpi in
interpolated mode;
- internal buffer: 2 MB
The software driving the scanner allows for the standard
grey value transformations (contrast, brightness, gamma
correction, histogram equalization, etc.) and for freely
defineble scanning area. In order to assess possible
distorsions of the scanning process, radiometric and
geometric properties of the scanner have been
investigated.
no transparency
3.1 Radiometry
The g.v. profile through the image of a target has been
acquired at different times after the power was switched
on. The maximum g.v. changes are in the order of 15%
and occurred in the first minutes. The repeatability of the
g.v. profile, after the warm-up effects vanish, is better
than 1%.
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B5. Vienna 1996
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