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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>D. Costantino);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>TLS survey for material analysis and classification of marble pavement of the “Cappella di San Cataldo” in Taranto (Italy)</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Domenica Costantino</string-name>
          <email>domenica.costantino@poliba.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vincenzo Saverio Alfio</string-name>
          <email>vincenzosaverio.alfio@poliba.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Massimiliano Pepe</string-name>
          <email>massimiliano.pepe@unich.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Polytechnic University of Bari</institution>
          ,
          <addr-line>Via E. Orabona 4, 70125 Bari</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University “G. d'Annunzio” of Chieti-Pescara</institution>
          ,
          <addr-line>viale Pindaro 42, 65127 Pescara</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2024</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>The aim of this manuscript is to classify, from a material point of view, the marbles that make up the flooring of the chapel inside the Cathedral of San Cataldo in the city of Taranto (Italy). To achieve this aim, a 3D survey was carried out by Terrestrial Laser Scanner (TLS); indeed, the dense point cloud was subsequently classified according to the reflectance value. This task allowed to reconstruct the geometry of the various elements that make up the pavement and, through an accurate photographic interpretation, associate each geometry with the relative material. In addition, in order to create a useful tool for the conservation, valorization and enjoyment of the cultural heritage, as well as for possible maintenance and historical restoration activities, a model was implemented in a Spatial Information System (SIS) environment in which, in addition to the geometric information, a series of semantic-descriptive information on the materials was associated for a greater and more shared knowledge of the territorial Cultural Heritage.</p>
      </abstract>
      <kwd-group>
        <kwd>S</kwd>
        <kwd>I</kwd>
        <kwd>S</kwd>
        <kwd />
        <kwd>marble pavement</kwd>
        <kwd>TLS</kwd>
        <kwd>classification</kwd>
        <kwd>reflectance</kwd>
        <kwd>Cultural Heritage 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Cultural Heritage (CH) is an important historical, artistic, and architectural testimony that
characterizes and defines the identity of a community or territory. This heritage also includes
works of art, monuments, historical buildings that have been handed down by different past
generations and are still the result of centuries of human interactions and cultural exchanges
that have enriched the social and cultural fabric of a geographical area. The preservation and
enhancement of this heritage, in addition to keeping memory and historical continuity alive,
plays a crucial role in sustainable development, enhancing cultural tourism and contributing to
the economic growth and social cohesion of the territory.</p>
      <p>
        Therefore, aspects of management, monitoring and valorization must become an indispensable
tool to improve the maintenance and conservation status of these cultural resources with the
additional objective of digitizing, cataloguing, and archiving a range of heterogeneous
information useful for the long-term preservation and protection of the historical heritage.
In this field, geomatics plays an important role as, through surveying and 3D modelling
techniques, it enables the elaboration of accurate three-dimensional digital models in very high
geometric resolution, which become the main support tools for maintenance, restoration,
enhancement, and dissemination activities. Moreover, the advanced development of new and
increasingly high-performance acquisition sensors and Artificial Intelligence (AI) algorithms
allow, together with the most widespread acquisition techniques such as photogrammetry [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],
[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and 3D scanning [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] to obtain photorealistic models suitable for restoration purposes,
scientific and educational dissemination, tourism promotion, etc. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        For the reconstruction of a 3D model, both the type of sensor used, and the different digital
surveying techniques and methodologies play a crucial role. In this context, by adopting one of
the various types of sensors available, the result of the three-dimensional survey of a specific
object is the “point cloud”, i.e. a collection of millions of points characterized by information such
as position (x, y, z coordinates), color (RGB tern), intensity and other scalar quantities, which
preserves the original geometric information in 3D space referring to a given coordinate system
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The characteristics of geometric resolution, metric accuracy and definition of a point cloud
depend on the type of sensor used; moreover, depending on the nature of the light that is
employed, if it is natural light, the measurement methods are said to be “passive” (cameras,
thermal imaging cameras, etc.); if, on the other hand, the light is encoded in such a way as to play
a role in the measurement process, they are “active sensors” (laser scanners, structured light
projection instruments, radar, etc.). Therefore, the choice of the sensor to be used and the
surveying techniques to be adopted are also a function of the characteristics of the surface to be
surveyed, as well as a function of the accuracy and geometric resolution required in the
application [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        Through the use of these geomatic survey techniques, it is possible to elaborate 3D geometries
to which a series of thematic information can be associated and to develop interpretative models
capable of classifying the object under different points of view (technological, material,
structural, conservation and maintenance) and with a multi-temporal character [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
Starting from the outputs obtained from different geomatic acquisition techniques and in the
field of material characterization, numerous applications have been conducted in the field of
cultural heritage; through a photogrammetric approach, Fioretti et al., 2019 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] developed a 3D
model and a series of orthophotos in order to classify the lithology, provenance and historical
period of the Roman marbles and other decorative stones of the churches of San Sabino and San
Giacomo in the city of Bari (Italy). Furthermore, for the flooring of the Basilica of San Nicola in
Bari (Italy), it was possible to distinguish the original areas of the mosaic from those that have
been heavily reworked over the centuries and finally identify the areas that have undergone
restoration [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>
        In the information context, G.I.S. (Geographic Information System) nowadays plays a major and
growing role in the field of CH [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. In fact, with this technology it is possible to build dynamic
information management systems by associating a series of semantic and heterogeneous
attributes with the geometric content, in order to implement a spatial geodatabase capable of
processing, managing, storing, querying and sharing all the information collected [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
For Cultural Heritage applications of G.I.S. technology, it is more appropriate to refer to Spatial
Information Systems (S.I.S.) since local reference systems are typically used to position the
acquired data, and geographic coordinates can serve as supplementary information to place the
objects within a broader context. In other words, S.I.S. is a virtual environment where various
types of information can be linked to specific points in a recognized spatial reference system.
In this area of research, Coli et al, 2021 [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] starting from an implementation of 2D data in a G.I.S.
environment, the authors analyzed and characterized the marbles of the Saint John Baptistery in
Florence (Italy) as geometric, geological and historical data, implementing a spatial geodatabase
that can be managed via web through smartphones, tablets and PCs for querying and/or
updating the data, thus representing a useful management tool in the field of preservation of
historical-cultural buildings.
      </p>
      <p>
        Iandelli et al., 2021 [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] using opensource, desktop and mobile solutions, and starting from the
photo-interpretation and in situ survey, they realized in a G.I.S. environment a lithological
mapping of the coatings of various monuments (Duomo di Firenze, Campanile di Giotto, Duomo
di Prato); furthermore, with the implementation of a structured database, the workflow included
a mobile and opensource solution that allows the verification and management of the database
in the field, i.e. a useful support tool in the field of conservation, dissemination and creation of
virtual tours in the field of CH.
      </p>
      <p>In this context, the aim of this manuscript is to identify a suitable methodological approach that
allows, starting from a TLS survey and interpreting the reflectance values, to produce a metric
model of the marble pavement of the Cathedral of San Cataldo in Taranto (Italy), identifying,
classifying, and categorizing from a lithological-petrographic point of view the materials that
make up the pavement itself.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Case study</title>
      <p>For the analysis of the marble flooring, an experiment was conducted inside the cathedral of San
Cataldo in the city of Taranto, Italy and built in the Byzantine era in the second half of the 10th
century. Remodeled several times over the years, it was finished in the Norman era and the
Baroque façade was completed in 1713.</p>
      <p>The cathedral measures 84 meters long and 24 meters wide, and has a central nave, two side
aisles and a single-nave transept. The three naves are divided by a double row of eight columns
surmounted by capitals of varying construction, some of them reused from ancient buildings no
longer in use.</p>
      <p>
        In particular, inside the cathedral, on the west side of the north transept, there is a room
dedicated to the saint and called the “Cappellone” dating back to 1151 and renovated in the 18th
century [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. The chapel has an elliptical plan with a major axis measuring 15.50 meters and a
minor axis measuring 8.50 meters. It is preceded by a quadrangular vestibule and is entirely
covered in polychrome marble, a decorative element typical of Neapolitan Baroque churches,
while the ceiling is decorated with a fresco dating back to 1713.
      </p>
      <p>
        These spaces have a rich decorative appearance characterized by a polychromatic marble in
“opus sectile”, both for the floor and wall slabs; this is an ancient artistic technique that uses cut
marble to create inlaid floor and wall decorations. This chapel represents a uniqueness in the
Apulia region for its marble decoration that proceeds downwards from the cornice on which the
dome is set [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] until it reaches the floor (Figure 1).
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Method and Materials</title>
      <sec id="sec-3-1">
        <title>3.1. Methodological Approach</title>
        <p>The census and cataloguing of marbles in an environment can be performed through the
following main steps: i) 3D geometric survey, ii) data classification and iii) vectorization and S.I.S.
implementation. The geometric survey can be performed with sensors and different acquisition
techniques. In the case study it was performed with phase measurement instrumentation. The
point cloud generated can be classified according to the reflectance value in order to
automatically classify different types of marble. The integration of this information with other
documentation (historical, photographic, etc.) makes it possible to create polygons in a G.I.S.
software; these polygons, thanks to the tools available in G.I.S., make it possible to implement the
geometric data with multiple attributes that characterize the marble types.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. TLS survey</title>
        <p>Depending on the distance acquisition principle, TLS can be classified as time-of-flight (TOF) or
phase measurement (PS). In the first case, a pulse is sent to the object, part of this pulse is
reflected from the object's surface and returns to the scanner; in the second case, alternating
frequency laser light is emitted and the distance to an object is determined by measuring the
phase difference between the emitted and reflected signals. In both cases, the absorbed or
reflected power can provide useful radiometric information to assess the change in properties
of the scanned surface [17].</p>
        <p>The TLS survey was performed with Leica HDS4500 instrumentation, which is a phase difference
scanner with an acquisition capacity ranging from 100,000 to 500,000 points per second. This
instrumentation is a short-range scanner with a field of view of 360 x 310 degrees. The main
features of this equipment are outlined in Table 1.
In order to survey the entire room, two scans were made, one at the altar and one at the entrance
to the chapel. Using Leica proprietary management software, the two scans were recorded using
4 reflective targets at the TLS wavelength and 6 natural targets (Check Points) as reference
points. The Mean Absolute Error value obtained from the merge phase of the scans was 0.005 m.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. TLS data classification</title>
        <p>After the registration phase, the entire point cloud was imported into the Cloud Compare
software [18]. The objective of this phase was to obtain an orthophoto classified according to the
different shapes and types of marble that make up the pavement. TLS measurements are closely
influenced by the reflectance of materials; indicating with # the reflected radiant flux and with
$ the incident radiant flux, reflectance can be defined as:
 = () =
#
$
(1)
where:
 indicates the portion of reflected energy;
 indicates the wavelength.
In fact, the reflectance measurement depends on the type of surface and the value obtained
varies depending on the angle of reflection, which in turn is influenced by the roughness of the
object. Roughness is relative to wavelength: generally, smooth surfaces reflect in a specular
manner (the angle of incidence is equal to the angle of reflection), while completely rough
surfaces behave as Lambertian reflectors (the direction of reflection is independent of the
direction of incidence). This is why it can be seen that smooth, light-colored materials have
reflectivity of between 70% and 100%, while in rough, dark materials it can be as low as 20%.
Furthermore, diffraction optics phenomena can occur in TLS scanning, from which it is possible
to relate the degree of crystallinity of the materials to the reflectivity value. In fact, according to
Costantino et al., 2021 [19] it can be seen that the incident laser light beam is refracted more by
materials with a higher degree of crystallinity than by less crystalline or amorphous materials.
Based on this information, the point cloud was then classified in Cloud Compare software, by
means of the Scalar Field function, i.e. information that is added to each point of the point cloud,
in addition to position and possibly color information. For example, Scalar Fields can be the
intensity and number of returns of a Light Detection and Ranging (LiDAR) survey, verticality and
flatness values, the origin of the cloud if it is several different dense clouds that are subsequently
merged, etc. Thus, by first performing a segmentation of the point cloud in order to isolate only
the flooring of the chapel under analysis, a classification was performed on the Scalar Field by
setting high color contrast values in order to display the geometries of the different materials in
detail. The results of this classification are shown in Figure 3 below.</p>
        <p>The orthophoto was then exported and imported into the Quantum G.I.S. software (QGIS)
v.3.30.2 for the subsequent vectorization and attribute implementation phase (Figure 4).</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. True data</title>
        <p>In addition to TLS data acquisition, a photographic documentation was also carried out to
analyze in detail the different marbles of which the floor of the church is composed. Therefore,
once the orthophotos had been created from the TLS survey, a floor plan was produced that was
able to geometrically represent the different areas of each marble. This process was carried out
in a G.I.S. environment since, in addition to the geometric information, it is also possible to
associate attributes. In fact, using the open-source software QGIS, it was possible to construct a
polygon-type shapefile for each marble type in the church. For each marble type, the following
attributes were assigned, useful in the study and research phase: common name of marble,
petrographic typology, area of the marble portion, macroscopic appearance of marble, period of
use, type of use and quarrying.</p>
        <p>The polygons were constructed on the basis of a photointerpretation of an orthophoto produced
in Cloud Compare software and classified according to reflectance values (Figure 5); therefore,
it was possible to obtain the following layout, identifying and classifying the several marbles.
This means to create a management and support tool in the field of Cultural Heritage restoration.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>The tools and commands present in G.I.S. software allowed to associate a relational database
with raster or vector content, in the case analyzed an attribute table was implemented to obtain
the information described above for each type of material (Figure 6). The previous classification
of the data has in fact made it possible to distinguish all the marble elements and to subdivide
them into the various inlays; through QGIS query tools it is possible to obtain a series of
information not only geometric and petrographic but also historical by clicking directly on the
geometric element through the “Identify” command or by carrying out a series of queries. In this
way, it was possible to build the statistical analyses concerning the quantity versus the type of
each marble (Table 2).</p>
      <p>In this way, it was possible to realize a management tool in the context of restoration activities.
Indeed, through classification and statistical analysis, it is possible to determine the surfaces of
the different types of marble and, support restoration activities from a petrographic point of
view in order to identify the best compatible materials. Furthermore, through this classification
it is possible to analyze the quality of the marbles used and determine the historical-artistic value
of the pavement investigated, as well as to hypothesis its date of construction and thus improve
the historical and archaeological understanding of the cultural heritage.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The Terrestrial Laser Scanning plays a crucial role in digital representation as shown in the case
study of the church floor; in fact, it was possible to acquire three-dimensional data with a high
level of detail and accuracy, facilitating the creation of accurate digital models. By exploiting the
range of signal intensity emitted by the TLS, it was possible to recognize the geometries of the
different marble inlays. This data supplemented with photographic documentation improved the
classification result. In other words, the TLS data alone made it possible to detect the different
geometries automatically (with respect to the reflectance values) but did not allow automatic
classification in relation to the different colors of the marbles.</p>
      <p>In addition thanks to the G.I.S. tool, it was possible to analyze, represent and interrogate entities
or events occurring both on the territory and on architectural realities such as the Chapel of San
Cataldo and its conformation. The common operations that can be carried out on databases, such
as searches, statistical analyses, graphs, are thus integrated with the functions of a G.I.S. such as
the storage of spatial data, their processing and above all their representation in the form of
cartograms or tables. The processing of these data in SIS thus makes it possible to visualize and
analyze the information in order to research and enrich the data in possession on the marble
conformation of the San Cataldo Chapel, but also to plan restoration activities with relative
updates over time, thus making it possible to analyze and study the evolution of the architectural
identity. Finally, this information can be integrated into other relational databases (RDBMS) in
order to increase the sharing of semantic and geometric attributes and improve decision-making
processes in maintenance and restoration activities in the field of Cultural Heritage.
[17] C. Suchocki, ‘Comparison of Time-of-Flight and Phase-Shift TLS Intensity Data for the
Diagnostics Measurements of Buildings’, Materials, vol. 13, no. 2, Art. no. 2, Jan. 2020, doi:
10.3390/ma13020353.
[18] D. Girardeau-Montaut, ‘CloudCompare’, France: EDF R&amp;D Telecom ParisTech, 2016.
[19] D. Costantino, M. Pepe, and M. G. Angelini, ‘Evaluation of reflectance for building materials
classification with terrestrial laser scanner radiation’, Acta Polytechnica, vol. 61, no. 1, pp.
174–198, 2021.</p>
    </sec>
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