A general view of the object and the spatial
control point configuration from one of the
camera stations is shown in /1/. Out of
Table 1 we can see that most of the control
points are imaged in all slides.
slide control points
1 12. 15, 44, 45, 16, 18, 19, 21,
22, 23, 24, 25, 26, 27
2 12, 13, 14, 15, 16, 17, 18, 19, 21,
22, 23, 25, 25, 26, 27
5 ho, 12, 15, 14, 15, 16, 17, 18, 19, 2,
25, 25, 26, 27
4^ ho, 12, 15, 15, 15, 15, 17, 13, 19, 21,
22, 25. 25, 26, 27
Table 1
The computations were performed with a
FORTRAN IV program on the Cyber 17H of
Stuttgart University. This program allows
apart from the case of an orientation to be
used as a calibration program without regard
to lens distortion or with one (ease I),
three (case II) or five (case III) distortion
parameters.
The data were processed with these four
calibration versions for three control point
configurations. In Table 2 and Table 5 all
points are considered as control points
(configuration 1). In Table 4 we consider all
points except 12, 14, 19, 21 as control
points (configuration 2). In addition the
points 25 and 26 are not considered as
control points (configuration 3). These
results are listed in the lower part of
Table 4,
Some of the results obtained with the
calibration program without regard to lens
distortion are given in the upper part of
Table 2. The differences DX, DY, DZ between
the given object space coordinates and the
computed coordinates are remarkable. We find
the greatest differences in the DY-column, a
reasonable fact as the camera axis points in
the direction of the y-axis. The next column
RD eontains the resultants of the differences
in the x-z-plane in the photo scale. The
ratios between the resulting differences in
the x-z-plane and the object distances
(in per mille) are given in column R%o.
In the last column Y%othe ratios between
DY and the object distances are listed.
The lower part of Table 2 shows the cor-
responding results obtained with the
calibration program with distortion case I.
Comparing with the upper part we can see the
improve of the accuracy. For our example we
cannot realize a gain of accuracy by using
the distortion cases II and III (upper and
lower part of Table 3) in comparison to
case I. That is why we consider in Table 4
only the distortion case I for the control
point configurations 2 and 3.
6. CONCLUSIONS
The practical test of the described on-the-
job calibration method shows at this first
example that the use of non-metric cameras
in industrial photogrammetry can lead to
remarkably good results. Further in-
vestigations concerning the distortion model,
the configuration of control points and
the camera dispositions are necessary to
improve the accuracy such that non-metric
cameras might be used unconditionally in
non-topographic applications.
REFERENCES
/1/ Altan, M.0.; Bopp, H.; Krauss, H.: Some
Accuracy Aspects of On- The-Job Cali-
brations Shown at the Example of a
Precision Survey. Paper, presented at the
Inter-Congress Symposium, Commission V,
Stockholm, 1978.
/2/ Bopp, H.; Krauss, H.: A Simple and
Rapidly Converging Orientation and
Calibration Method for Non-Topographic
Applications. Paper, presented at the
ASP Fall Technical Meeting, Little Rock,
Arkansas, 1977.
/5/ Bopp, H.; Krauss, H; Preuss, H.D.:
Photogrammetric Control Survey of a
Large Cooling Tower. Paper, presented
at the ASP Fall Technical Meeting,
Little Rock, Arkansas, 1977.
/4/ Kenefick, J.F.: Ultra-Precise Analytics,
Phot. Eng. (1971), P. 1167 - 1187.
/5/ Marzan, G.T.; Karara, H.M.: A Computer
Program for Direct Linear Transformation
Solution of the Collinearity Condition
and Some Applications of it. Proceedings
of the ASP Symposium on Close-Range
Photogrammetric Systems, Champaign,
Illinois, 1975.