2. MATHEMATICAL MODEL FOR NON-PHOTOGRAMMETRIC INFORMATION
2.1. Functional model
When the original geodetic, navigational or satellite
surveying measurements are introduced into a photogram-
metric block adjustment, one has to take into account to
what extent the data are influenced by the definition of
the measuring system, comparing it to the desired system
of the point determination. For example most of the infor-
mation about geometric forms of objects can be formulated
in any system. On the other hand e.g. slope distances
depend on the scale factor of the measuring instrument,
horizontal angles on the definition of the horizontal
plane or the plumb-line, or satellite measurements in
general on the definition of the satellite system.
Based on the original data of a measuring system normally
positions of points are estimated. When introducing these
coordinates in a block adjustment one has to take care
that point coordinates, which are given in a system with
another definition of the datum and/or with certain syste-
matic effects, are formulated in an extended functional
model. This means that transformation or trend parameters
should be included; possibly, if available, also with a
priori information about these parameters.
In a similar way the functional models can be formulated
for the positions and orientations of the camera stations.
Here it may sometimes be convenient to introduce strip-
invariant trend parameters, presuming they are signifi-
cant, for certain types of data. This nas proved to'be
very effective for the processing of statoscope data and
it seems to be in principle also a proper formulation for
the introduction of data e.g. from inertial surveying
systems.
An important question, which arises especially with the
introduction of relatively "new data", is, whether one
should use the often very distorted raw data from a meas-
uring system or whether it is more convenient to use the
results of a separate data processing, e.g. coordinates or
coordinate differences of points. Often the more practica-
ble way seems to be the second one (e.g. Anderson /2/ for
Doppler measurements), provided that the derived coordi-
nates are introduced rigorously with their full covariance
matrix.
2.2. Stochastic model
Although the situation is similar for general non-photo-
grammetric information, the following remarks apply to the
case when coordinates of points are given.
Introducing control points with their stochastic proper-
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