29
e position-
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estimated
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ist corners
i approxi-
Lade of its
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iistri TA3
oned and
ned from
strips, an
ed. Also,
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^relation
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estimates
ip 7, and
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ly means
ions.
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3 system.
mations,
isformed
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ere used
mtinued
Trips are
in each
weights
for each
The following adjustments were performed:
1. A second-degree adjustment using two ground control points in each of
the four corners of the block: numbers 3, 5, 40, 41, 271, 275, 297 and 299.
2. A second-degree adjustment using in addition two points in the middle
of the western and eastern sides: numbers 153, 159, 118 and 192.
3. A second-degree adjustment using in addition two points in the middle
of the northern and the southern sides: numbers 19, 25, 286 and 287.
4. A third-degree adjustment using ground control points in the four corners
of the block. Since the third-degree conformal transformation requires a minimum
of four well separated ground control points, there is here no need for the iterative
adjustment.
In order to economize on time, not all four adjustments were performed with
all three sets of strip triangulations.
For the Zeiss Jena strips and for the Nistri strips, about 20 tie points were used
in each overlap. For the Wild strips, about 24 tie points were used.
Details of the iteration procedure and its convergence are given in Table I.
TABLE I — DETAILS OF THE ITERATIVE ADJUSTMENTS
Second-degree adjustments
Zeiss
Jena 1818
Nistri TA3
Wild A7
on corner control
0
0.28 m
6
0.35 m
0
0.43 m
20
55%
20
55%
28
25%
5
10
5
on west and east control
0
0.32 m
8
0.32 m
20
45%
20
65%
5
10
on perimeter control
0
0.20 m
1
0.09 m
4
0.14 m
20
60%
17
75%
14
60%
5
10
10
Key:
(1) (4)
(2) (5)
(3)
(1) Number of iterations performed with pairs of strips.
(2) Total number of iterations performed.
(3) Weight applied to the used ground control points.
(4) Largest change in the transformed coordinates of any of the 18 known ground control points
during the last four iterations.
(5) Factor by which this largest change is smaller than the one during the preceding four iterations.
Table I shows that for each of the second-degree adjustments of the Zeiss Jena
strips 20 iterations were performed on all strips. Ground control points were given
a five times greater weight than tie points in order to better enforce their position.
The largest change that the position of any of the transformed ground control points
undergoes is here reduced by about 50% each four iterations. With a largest change
of 0.32 m during the 17th to 20th iteration, this means that after 20 iterations con
vergence was reached to within a fraction of a meter.