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International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part BS. Istanbul 2004
2. THE METHOD OF INVESTIGATION
2.1 Producing the sample dies
For the purposes of this investigation, we have devised and
manufactured an instrument to produce laboratory conditions
close to in vivo conditions and to standardize the impression
taking procedure in vitro. The instrument consists of a platen, a
part corresponding to the dental impression taking spoon, as
well as a pair of rails with a sliding surface to keep the
movement of the spoon onto the platen identical across
instances (Fig. 3).
Figure 3. The sampling instrument
One of the most important features of an instrument of the kind
shown above is its reproductive capacity, meaning in this case
the precision with which it can be reset exactly to the same
position while producing two different samples. Due to
appropriately strict assembly and well-chosen production
tolerance, as confirmed by an independent expert investigation
(Budapest University of Technology and Economics,
Department of Precision Mechanics and Optics), the zero
position resetting accuracy of the instrument is 0,004 mm. A
phase of the calibration of the instrument is shown in Fig. 4.
Figure 4. The truing of the sampling instrument
The platen of the instrument shown in Figs. 3 and 4
accommodates one to three stainless steel dies that imitate the
original abraded dies. These steel dies were made in a regular
geometrical shape to facilitate comparison and, using a surface
grinder, their surface roughness was made similar to that of
abraded teeth. An important component of standardization was
that the individual samples, produced one after the other, should
be pressed against the platen with the same force. This was
achieved by imitating the average human pressure of 20 N by a
2 kg weight piece placed on top of the spoon.
With this apparatus, impressions were made in
four arrangements (single knife edge die, single shoulder die,
three adjacent knife edge dies, three adjacent shoulder dies),
with all four techniques. Thus, a total of 16 different models
have been made; a 12-piece series was then made of each
model. The impressions were then cast with Kromotypo 4 hard
plaster; good quality setting was facilitated by using a vacuum
mixer and a vibrator.
The next task can be briefly summarized as
follows. The various procedures will be assessed in terms of
statistical correspondence between the set of hard plaster
models and the original steel dies. The impression taking
procedure for which the statistically demonstrable difference
between the original shape and the model produced is the
smallest will turn out to be the best.
2.2 Determining the geometrical data of the model pieces
For determining the parameters of the model pieces, we
employed the method of photogrammetry; i.e., the data were
not directly measured on the objects concerned but on
photographs made of them. In particular, we obtained
coordinates by a method now generally used in close-range
photogrammetric tasks, an instance of which is the present task,
i.e., by what is known as multi-viewpoint photography. For the
calculations, we used a DLT (direct linear transformation)
program developed at the Department of Photogrammetry and
Geoinformatics of the Budapest University of Technology and
Economics. The program and its testing procedure were
reported on elsewhere (Detrekói 2002).
In order to perform photogrammetric tasks, it is necessary that
the pictures exhibit control points: it is with the help of these
that the spatial position of our pictures is determined. It is a
usual method in close-range photogrammetry that the spatial
position of these points is not determined task by task; rather, a
"test-field' applicable to a number of tasks is prepared
beforehand. This was done in the present case, too. The dies
were put into a test-field developed by the Department of
Photogrammetry and Geoinformatics of the Budapest
University of Technology and Economics. The geometrical
characteristics of the test-field were determined with a Zeiss
Opton 3D coordinate-measuring instrument. That instrument
shows the coordinates of points with a tenth of a micron
accuracy and with a mean square error less than a micron. The
calibration of the test field is shown in Fig. S.
Figure 5. The calibration of the test field
with a Zeiss 3D coordinate-measuring instrument