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These ground control points suffice to transform strips 1 and 8. For the position
ing of strips 2 to 7 of the Zeiss Jena strips, estimated X- and F-coordinates of points
at the beginning and end of each strip were used. For leveling in the strip direction,
relative heights of points at the beginning and at the end of each strip were derived
from the statoscope heights of the exposure stations. For lateral leveling, estimated
heights of a river in the eastern part of the block were used. With a parallax bar,
river heights near two ground control points in the north-east and south-east corners
were derived from the known heights of these points. Further, assuming an approxi
mately parabolic rate of change in the fall of the river, an estimate was made of its
height at a number of points.
This procedure proved to be rather laborious. Two or three transformations of
each of the strips 2 to 7 were required in order to level the strips in strip direction
and to compare the coordinates of tie points between each two strips.
Consequently, a different procedure was used for strips 2 to 7 of the Nistri TA3
and the Wild A7 triangulations. These strips were approximately positioned and
leveled in the strip direction by means of coordinates of tie points obtained from
previously transformed strips.
In order to provide somewhat more data for lateral leveling of the strips, an
additional river height near a ground control point in strip 5 was determined. Also,
several points were measured along the edge of a reservoir in strip 7. Further, after
an initial leveling, height differences of all tie points and ground control points in
each overlap between two strips were plotted against their F-coordinates. Correlation
between height differences and F-coordinates indicates a difference in lateral tilt.
On the ground of this data, the conclusion was reached that the first estimates
of river heights required corrections. The corrections were largest for strip 7, and
amounted to 10 m/km. The corrected heights were used for lateral leveling of the
Nistri TA3 strips and the Wild A7 strips.
b) Block adjustment
Several horizontal block adjustments using different selections of ground control
points were performed with each of the three sets of triangulated strips. Each adjust
ment consisted of transformation of the X- and F-coordinates of each strip by means
of a number of either second-degree or third-degree conformal transformations.
First a block was formed from the eight strips by transforming each strip in
succession to the coordinate system of one of the strips. Here only the tie points in
the overlap between strips were used for the computation of transformation formulas.
Next, the resulting block was transformed as a unit to the X, Y coordinate system.
For this, only the ground control points in the four corners were used.
Finally, for the adjustments by means of second-degree conformal transformations,
an iterative adjustment procedure was employed in which each strip was transformed
in turn. For each iteration of a strip, the coordinates of given ground control points,
if any, and the transformed coordinates of tie points in overlapping strips were used
to compute the transformation formulas. The iterative adjustment was continued
until convergence was practically reached. The sequence in which the strips are
transformed, the number of transformations, the number of strips included in each
transformation, the choice of ground control points and of tie points, and the weights
of the ground control points are variables that were decided upon separately for each
adjustment.