format of such photographs is associated with different kinds of
degradations, so the use of such photographs in 3-D object
reconstruction requires a kind of software that can be applied in
processing wide range of photograph formats. The DLT
procedure satisfies these requirements because the
transformation coefficients are independent from the camera
constants.
The inner and exterior orientation of different photos means that
we specified the DLT parameters not taking into consideration
the different degradations occurring in X-ray photos but
regarding them as modifications of transformation parameters.
When determining the points, these differences are eliminated,
on the other hand we think that this solution reasonably meets
the accuracy requirements. For point determination we used the
DLT program developed by the BUTE based on the Wong
solution (Wong, 1975). With the help of a few adjustment
parameters we can take some elements of X-ray degradation as
distortion values into consideration as well. Testing the DLT
program was done by the use of computerized simulation for
one part, and by the processing of analogue and digital data of a
test area for the other part. Figure 1, shows the test area of a
monument structure.
Second, the starting point of the new object coordinate system
is the drafting point of the normalized stereo pair, the X-axis is
the base itself and the Z-axis is perpendicular on the normal
stereogram.
Beside the above-mentioned conditions, the well known co-
linear equations produce a relationship between the original and
normalized stereo pairs, so through what is called basic
exchange matrix a relationship can be formed between the two
pictures and the new object coordinate system. This makes it
possible to produce normalized stereo pairs that we solved with
pixel transformation.
During the transformation, it is practical to choose the camera
constants of normalized stereo pairs higher than those of the
original one, so that we don't lose any pixels in the process. The
transformation itself was solved, similar to digital ortophotos,
so that the location of each pixel of previously defined picture is
searched in the original digital picture, the grey levels in the
transformed picture are determined from the original picture
depending on the nearest neighbourhood theorem. Figures 2 and
3 show left and right stereo pair photographs in their original
and normalized photographs that were used as a test sets.
Figure 1. Test site
3. DRAWING THE RESULTS
The most important part of our task was depicting the results as
they can be best used during surgical operations. At present
stage of our research we have chosen two methods knowing that
further development is, of course, needed to be carried out on
them in case of using the methods during surgical intervention.
Among the depicting methods of digital photogrammetry, the
oldest and most simple one is the so-called split monitor
solution. In this case, while looking at the normalized stereo
pair with stereoscope, the 3D effect is formed. We used these
relatively old and strict geometric conditions because this
process bears the promise that the operating physician can see
the stereoscopic structure of the vascular system during the
surgical operation via pictures projected into an ocular device,
which is one of our later goals of this research. The production
of normal stereogram in the case of X-ray camera with the use
of stereo radiograph is rarely possible, that is why in our
solution we decided to apply the normalization of the general-
arrangement stereo pair. If we know the orientation elements of
photos to be evaluated we can solve this task. While doing so
we take into consideration that the geometry of the normalized
stereo pair correlates with the normal case of the terrestrial
geometry when there is no cross parallax among the
homologues points.
When preparing the original and normalized digital photos, we
have to fulfil two geometric conditions. First, the common axis
of normalized stereo pairs must be parallel with the base.
a) original left photograph
b) normalized left photograph
Figure 2. Left test photograph
When checking the normal stereogram, the most important
factor is the geometric accuracy. For this purpose we made
object reconstruction from the normalized stereo pair photo
coordinates, and then we examined the residual errors of known
points of the normalized stereo pairs. The other geometrical
control method is the examination of the cross parallax of
normalized stereo pair since their theoretical value is zero.
From among the non-geometric examinations, conditions
known in the 3D vision were taken as a guiding principle.
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