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to leave the cadastral (EN) coordinates
and to go onto canonic (XY) coordinates,
referred to the axes of the mean ellipses.
The height over the ground remains as the
third Z coordinate. A dedicated computa-
tion program easily performs this tran-
sformation, as the 5 parameters of the el-
lipses are known; and gives the new XY
coordinates in the format needed for the
block adjustment with bundles.
2.3 - For the chaining observations we u-
sed an analytical Kern DSR 11/H plotter.
No correction for systematic errors was
introduced. The phocal length (Wild P31
camera) is 99.66 cm; the image size 12 x
86 cm.
The adjustment was performed with the
excellent program PATB-PC by Ackermann-
Klein 119881, with autocalibration and
automatic gross error detection. For the
El and E2 block computations, 25 resp. 14
iterations were effected. The result was
superior to any expectation, as it appears
from the here below schedule 2.
The Annex 2 reports the results obtai-
ned for the control points. We must point
out their exceptional quality, which shows
the perfection of all the terrain and
plant operations (fundamental net, its
densification, intersections on the con-
trols, instrumental observations, adju-
stment computations). The final accuracy
of the controls assures a centimetric ac-
curacy in the plotting.
3. - The plotting
3.1. -. The above said canonic (XY) coor-
dinates cannot be used for the plotting,
except for the pairs which correspond to
the vertices MN of the mean ellipse (fig.
3). In fact, we need that every-
where the instrumental Y axis be normal to
the ellipse, so that the Y coordinate of a
generic point P permits to deduce its di-
stance to the mean ellipse, i.e. its alti-
Schedule 2
Sigma naught
Controls
Mean resid. on the controls
Block Image Terrain Horiz. Vert. Horiz. Vert.
(microns) (m) (nr) (nr) (m) (m)
El 5.88 0.001 71 71 0.003 0.003
E2 6.71 0.001 58 58 0.004 0.003
titude q in the Coliseum reference (shq). (X'Y') coordinates are only transition
Therefore we must give a rotation 0 to the
canonic coordinates of each pair, before
plotting it; we obtain thus the "normal"
coordinates (X'Y').
fig. 3
We can assume a mean 0 between the na-
diral points of the two photos of "the
pair. This is not quite rigorous, as we
should assume a different 0 for each point
P; but, as we shall see later, the normal
coordinates to arrive to the Coliseum
coordinates, and a little variation of ©
has no influence on the final result. In
fact, the purpose of the transition (XY)
-» (X'Y') is only to obtain that the Y in-
strumental mouvement be quasi-normal to
the monument's surface in the whole pair.
A dedicated program TRASFHl computes
the 6 rotation for the central point of
the pair, and effects the transformation
from the canonic onto the normal coordina-
tes. The normal coordinates thus obtained
for the control points are used for the
absolute orientation of the pair; its who-
le plotting results therefore expressed
in its particular normal system. The ob-
servation is done in the usual way, and
does not require special modalities.
3.2 - The last step is to transform the
normal coordinates into Coliseum coordina-