International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B5. Istanbul 2004
with the photographic survey, a texture mapping of Baptistery
to compare with the tri-dimensional model carried out
photogrammetrically.
Figure 1 — North side of the Baptistery with the portal. The
Cathedral is in the left side.
2. DESIGN AND SURVEY
The project of the photogrammetric survey has been carried out
trying to achieve an accuracy of centimetre on the control
points. For this reason it is important to remember that the
accuracy achieved by monoscopic multi-images restitution can
be describe by the following formula (Mason. 1994):
MIO
e JE
where:
o. 1s the restitution accuracy
mf is the photogrammetric scale (relation d/c)
o; 1s the accuracy of measure on the image
q is a geometry coefficient which can vary between 0.4 (very
convergent shots) and 0.7
k is the number of shots which are used to plot the single point.
Oo
[1]
In relation with the classic bond valid for normal stereo-couples
at the object (where the accuracy in the perpendicular direction
to the shot is directly proportional to the distance square and to
the measure accuracy of the plates, and in inverse relation to
the base product of shot and principal distance), in the formula
(1) is possible to consider both the number of images which cut
on the object and the best geometry that is guaranteed by the
convergent shots. ^
The camera used is a Nikon D100 with lens with principal
distance c of 18mm and f/2.8.
The digital back of 6 Mpixel has dimensions 23.4*15.6 mm”,
which needs a dimension of pixel of 7.8 um and a si
computed on the diagonal, of about 76?.
The camera, of a no metric type, has been previously reamed by
self calibration ona tri-dimensional test field.
In figure 2 is visible the scheme of the 22 taken. It is remarkable
that the followed logic scheme is that of surveying each of the
eight sides of the Baptistery with a series of 3 images: a frontal
and two lateral ones. The frontal one (position 3 in the figure 2),
practically perpendicularly, is placed at the distance of about
ght corner
o
16m, the two sides (10 and 11) are perpendicularly to the edge
but convergent to the sides: the wider distance of survey allows
a wider field of vision which allows to observe contemporary 2
sides. :
Palazzo del Comune
Loggia dei Militi
Figure 2 — a) Geometric design of the photogrammetric taken;
b) position of the Ground Control Points.
This scheme has been proposed for six out of the eight sides of
Baptistery. The remaining two, leant to the structure of the
Cathedral, have been surveyed by a series of convergent images
which lie outside the scheme shown above. In practice, only the
side on the right of the protirus has been put in the solid model,
of the last side, distant to the base no more than 1.5 m from the
Cathedral, and it has been possible to insert only the top side.
Finally, due to the lack of dominant points of sight (Torrazzo
was closed the day devoted to the survey) it was not possible to
make a photogrammetric survey of the roof.
To measure the positioning of the supporting points and of a
certain number of control points (GCP) (figure 2b), it has been
made a closed polygonal of three sides, from the top of which
the 3D coordinates of 37 points were determined.
For this aim it was used a total station Leica TC307 that for
measures up to 80 m doesn't need a back-reflecting prism; this
has allowed to accelerate the survey of the supporting points,
chosen nearly entirely in correspondence with edges of the wall.
Only three points used for the georeferentiation of laser shots
are artificial targets. Plywood panels have been used to reach
this aim and on these, on dark setting (at low reflectivity) IS
drawn a circular white surface (with elevated reflectivity). The
different radiometric answer between the light and the dark side,
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