experiments | to 5 e i = 0
10 uw. vo
H Xy
y
53 g
experiment 6 g o
P x ry xy
An artificial v.c. matrix is used as the a priori v.c. matrix for the
ground control points. :
This so-called substitute matrix was generated via a linear choice
function formula 3.1 introduced by Baarda in [2] and for example
used by Molenaar et al. in [6].
42; m'adfrace ile 3.3
ij 17ij
In 3.1 the following quantities occur
2 . .
d..: choice function
1]
1,3} expresses the distance between two points
Cj; 28 constant which for all experiments is fixed on c.=2.
This value is commonly used in The Netherlands when dealing
with cirquit networks
2 : ; i : nass
Ad : with this parameter the uncertainty of the point definition
is expressed for this purpose. Ad2 is fixed on Ad? = 0,
The S-bases of the blocks are chosen in such a way that the two base
points are lying diagonally opposite each other, each in a corner of the
block.
4. SOME FURTHER REMARKS ON THE EXPERIMENTS
For each block adjustment the following steps can be distinguished.
l. The generation of the block.
2. The free independent modelblock adjustment, that is only the tie-
points are taken into consideration.
3. The connection of the adjusted free block to the ground control.
This is done by a pseudo least squares adjustment, which means that
the ground control points are not corrected after adjustment.
However, by applying a special case of the law of propagation their
V.c. matrix is taken into account when evaluating the precision
of the adjustment results (see also [3] and [5] ). The in chapter 3
introduced substitute matrix is used as v.c. matrix for the ground
control points.
4. In the fourth step the evaluation of the precision of the adjustment
results (both the free block adjustment and the pseudo least
squares adjustment) is carried out.
This is done with aid of the general eigen value problem
|G- \H| = 0 4.1
In 4.1 the G-matrix is the v.c. matrix that has to be evaluated;
whereas the H-matrix is a criterion matrix which is calculated in the
same way as the before-mentioned substitute matrix (in this case c,=1)
and has the same S-base as the G-matrix.
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