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10. Summary
In non-topographic applications of photogrammetry there is a lack of met
ric cameras suitable for the various types of photography. It is often very neces
sary to design new cameras or to convert standard cameras. The calibration
problem must then be solved, and can be solved by the method described in
this thesis.
Many definitions of interior orientation exist, each dependent on the num
ber of parameters used. The classic definition using only principal point and
camera constant is insufficient in most cases. It is necessary to determine regu
lar errors due to radial distortion, film shrinkage and tangential distortion by
including parameters for these quantities in the mathematical model. The six
usual parameters for the exterior orientation are also included and solved for
in a common least squares adjustment. The remaining irregular errors are the
basis for the estimation of accuracy of interior orientation and image co-ordi
nates. This can be called a statistical definition of interior orientation.
The common solution for all parameters requires a three-dimensional test
object with accurately determined co-ordinates of targets. Some of the test
objects that have been used, are described in the examples. Pictures of such test
objects are exposed under operational conditions and measured in a compa
rator and the co-ordinates recorded on punched tape. Calculation is done on
electronic computers.
The assumptions for, and the properties of, the method of least squares ad
justments are reproduced and related to the main sources of error in photo-
grammetric photography. In addition to these theoretical considerations some
tests based on the residuals are performed in order to see whether the asump-
tions are fulfilled or not. It can be stated that the residuals are normally dis
tributed, but not independent. This so-called physical correlation is discussed
on theoretical and empirical bases. Suggestions are made to take it into account.
This calibration technique has been applied to several types of equipment
for photography and projection e.g. stereo cameras, microscopes, Balplex plot
ters, roentgen image intensifies etc. In the thesis examples are given for
1) a Pentax Takumar calibrated by means of a large steel ’’cage” contai
ning 177 accurately determined targets,
2) a convergent close-up camera for medical purposes calibrated by means
of an artificial space grid,