resulting system is represented by equation (4), in which
only one unknown per condition is added to the border
(Brown /3/, Ebner /6/).
If the existing system (2) is singular, because of defects
in the definition of the datum, the system (4) is formally
similar to a so-called free adjustment. This given datum
deficiency has to be considered in an appropriate algo-
rithm or concept for the solution of the normal equation
system.
If the existing system (2) shows geometric defects or
geometric weakness, however, the application of method c)
is not recommended, because in that case the solution
algorithm would have to include also certain pivot strate-
gies for numerical reasons.
Both methods a) and c) leave the main part of the
structure of the original system unchanged and do not
introduce restrictions concerning the kind of the addi-
tional observations, also mentioned by Brown /3/. À:possi-
ble criterion, which of the two methods is appropriate, is
given by the resulting borderwidth. Whereas for method a)
the resulting borderwidth is equal to the number of
unknowns involved, for method c) only one unknown per
condition equation is added to the border. Therefore in
those cases where the method can be applied without numer-
ical difficulties, as mentioned above, it results in a
more favourable borderwidth, when the unknowns are deter-
mined by a relatively small number of non-photogrammetric
observations.
Another topic that has been considered in the field of
combined adjustment is a new arrangement of the unknowns
so that additional information could be included more
easily.
Therefore some concepts give up the strict separation of
the unknown parameters into groups and the elimination of
the point unknowns, but try to get favourable structures
by general ordering algorithms for all unknowns or by
certain ordering strategies. For example Kruck /8/ pro-
poses especially for close range applications that the
orientation parameters are numbered across the larger side
of the block and the point unknowns are arranged before
the parameters of the image, in which they are measured
first.
Whether these concepts with complete normal equation sys-
tems including all unknowns are better suited for photo-
grammetric aerotriangulation with classical or general
non-photogrammetric information depends on a number of
factors. Not only the structure of the non-photogrammetric
data, but also the actual connection structure of the
photogrammetric observations, depending on project parame-
ters, and the mathematical modelling of the photogram-
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