-14-
directly on the square of the distance between the camera and
the object. A high precision is therefore achieved by suitably
limiting this distance, and thus the illuminated area. The
acquisition of relatively large objects, as a statue of human size,
requires a large number (typically hundreds) of partial views (or
range maps), taken all around the object, that have to be
integrated through a complex alignment procedure in order to
represent the whole surface. Using portable equipment,
employed to scan Heritage artworks kept in museums, such
range images are taken from unknown locations, and the
coordinate system of each point cloud is referred to the range
camera. In order to refer all the acquisitions to the same
coordinate system, adjacent range maps are acquired with
partial superimposition (at least 30%), and rototranslated by
means of special software algorithms that minimize the mean
square deviation or find a best match between overlapping
points of adjacent maps (Besl, McKay, 1992; Chen, Medioni,
1992).
2.2 TOF based 3D scanning
Another class of 3D acquisition systems - often indicated in the
photogrammetry world with the term “laser scanner” - is based
on the simultaneous measurement of the time of flight of light
pulses sent towards the object, giving the distance between the
scanner and the measured surface, and the vertical and
horizontal angles. The kind of output is similar to that
attainable with a triangulation scanner.
The main advantage is that long-range imaging is possible, thus
allowing large structures to be imaged. However, the achievable
accuracy is relatively low, never better than a few millimeters,
but commonly resulting in the centimeter range. Also in this
case a procedure of partial views alignment is required.
2.3 Digital Photogrammetry
Photogrammetry is a well consolidated technique, that has a
long history of developments for over a century. Digital
photogrammetry is the product of an intensive research
conducted for the last 20 years for the automation of
information extraction from digital images, based on image
analysis methods.
Photogrammetry is based on the acquisition of multiple images
of the object to be measured, taken from point of views
sufficiently apart by a photo camera. The method requires the
selection of recognizable elements on the acquired images,
including reference targets of a known size. Once the selection
of homologous points has been performed, the 2D coordinates
on the photogram plane are processed using an algorithm of
bundle adjustment that allows the corresponding 3D coordinates
to be estimated. Photogrammetry results generally suitable to
large scale measurements. Close-range photogrammetry cannot
be used for camera-object distance lower than 1-2 meters. The
process of the identification of the points to be measured, being
manual or semi-automatic, requires a long a tedious work if the
number of points is elevated.
The available technology is largely used in the metric survey of
architectures and archaeological sites (El-Hakim et al., 1996). A
unique feature of photogrammetric techniques is its extremely
high accuracy, that ranges from 100 ppm to 10 ppm of the
overall dimension of the imaged area. 3
3. CASE STUDY: BAPTISTERY OF FLORENCE
The object of our study was a Romanic mosaic and part of the
surrounding area, located in the underground of the Baptistery
of Florence, at the north-west comer.
The measurement conditions in such environment are
particularly difficult: the bad conservation state after the early
dislocation to a museum of the most valuable pieces (1912-15,
1925) and the difficult access don’t make easy the monument
understanding.
Surveys based on overall measurements and inaccurate
photography’s compositions have been made up to 1990, but
due to the complexity of the archaeological site such kind of
measurements and are prone to artificial regularizations, giving
possible fake results. The first systematic studies over these
structures were started in 1990 and published later (Marino et
al., 1996).
The mixing of mosaic portions with wall structures of different
ages makes difficult the historical interpretation of the artifact.
In this case the differences in the pavement construction
techniques, such as stones shape and cutting methods or mortar
characteristics and thickness, are the only elements for an
appropriate reading of the monument.
In the examined room a portion of a wall adjacent to the mosaic
is semicircular and is sheltered by the foundation walls of the
apse. All the room walls are made with three different layers:
the lower one has a regular structure, the intermediate - less
homogeneous - shows slid connections, while the upper one is
mainly made by conglomerate.
On the roof lie a mosaic fragment representing geometrical
drawings and made by small black and white tesserae, of the
roman period.
4. METHODS AND INSTRUMENTATIONS
A well established praxis in studying an artifact like the one
previously described is to make topographic surveys integrated
with photographs and 2-D drawings (generally 1:10 scale)
showing elevations. For the smaller details a contact relief on
polyvinyl is generally used, where each mosaic tesserae or the
overall mosaic drawing are taken. In this way important mosaic
details are acquired. From these raw data some papers are
worked out, such as thematic maps of the materials employed,
of the gaps, of restorations, of the conservation state, etc.
A tridimensional relief is often acquired through molds made in
silicon or glass-reinforced plastic in order to accurately evaluate
the presence of roof depressions.
The introduction of advanced 3D measurement technologies
seemed therefore very advantageous for eliminating all the
manual steps typically employed for this kind of survey.
4.1 Topographic survey
11 points have been identified on the mosaic surface, and
marked with reflecting targets. Their topographic coordinates
have been measured with a steel band for planimetry, and with
geometric leveling performed with a digital level meter Leica
NA3003 and invar stadia bar for the points height.
4.2 Digital photogrammetry
Photogrammetry in this application act as the “global reference”
supplying a single coordinate system for repositioning piece of
data coming from other sensors. Such global reference is then
reoriented to the absolute reference defined by older surveys.
In order to have a good level of redundancy for measurements
control, it was decided to make photogrammetry with two
different kind of equipment.
4.2.2 Semimetric camera: A semimetric camera Rollei 6006
(6x6) was employed with a calibrated lens with 40 mm focal
lenght. Each photogram, characterized by an average scale of
1:40, was then acquired with a calibrated Mirage scanner
capable of 1400 DPI.