In our attempt to formulate a concept or a theory about the-map making
problem, we have therefore also to rely on artificial intelligence. By way
of analogy, in order to formulate a concept of a metric camera, we need to
understand how electromagnetic radiation interacts with lenses and
photographic emulsions. Hence, we rely on physics and chemistry, and only
after having derived a theory, a camera can be designed and developed.
Experiences from experiments and practical use will lead to verification
and to refinenebt of the theory. In the same vein, analytical geometry and
statistics let us formulate a theory. about aerotriangulation and the
implementation on computers offers an opportunity to test the theory and
to refine it. To implement the theory of aerotriangulation we need tools
and again we are well advised to closely follow sound principles and
proven methods, such as those of numerical mathematics to solve large
equation systems, or methods from computer science to search and sort
large data sets effíciently. Tools should not be confused with methods
that helped us to formulate the theory, however. There is a danger that for
solving photogrammetric and cartographic problems, at which people are
better, we will try different tools before a sound concept or theory is
established. This (re)search is driven by tríal and error.
Computer vision may serve as another example to emphasize further what
has been outlined above. Vision is our most impressive sense and ever
since computers became available, computer scientists as well as
photogrammetrists, attempted to perform stereopsis on computers. Since
most people are remarkably adept at seeing stereoscopically and do it
without conscious effort, the complexity of the problem was
underestimated. Only ten years ago serious attempts were made to
understand the human visual system. These efforts culminated in a
comprehensive, yet incomplete theory that treated vision from a
computational viewpoint and that lets us at least understand the modules
of the early visual process. Stereopsis is one of those modules (see, e.g.,
Marr(79), Mayh(81)). Only after such a theory was formulated was it
possible to develop computer programs that perform not only in restricted
cases. We ought to critically evaluate, on the tool level, what methods we
use in photogrammetry for stereo matching. As indicated in Sche(86), it
may well be that inadequate tools are being used.
Conclusions
When examining photogrammetric and cartographic tasks that we attempt
to solve by computers, two extremes can be observed. On the one hand,
there are tasks for which a detailed theory exists such that a computer
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