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    <article-meta>
      <title-group>
        <article-title>Digital Representation Platform and Multi-Scale Representation for a Multidisciplinary Knowledge of Some UNESCO World Heritage Sites in Italy</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alessandro De Masi</string-name>
          <email>alessandro.demasi@polimi.it</email>
          <email>alessandro.demasi@unina.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Author Keywords Digital Representation Platform, Multi-Scale Representations</institution>
          ,
          <addr-line>3DCM, 3D Digitization Methodologies, Heritage Recording</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Architecture, Built environment and Construction engineering, Milan Polytechnic, II School of Architecture (ABC) Via Durando 10</institution>
          ,
          <addr-line>20158 Milan</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>The paper describes reading criteria for the interpretation/documentation, integrated systems of digital technologies and 2D/3D digitization of Cultural Heritage (CH) and the procedures followed by Digital Representation Platform (DRP) promotes through integrated digital survey for CH in Milan and Trento as a case study of the research on the integration of new technologies to obtain 3D multi-scale representation architectures. The study from the methodological point of view has made use of the identification of levels of study differentiated, each of which is capable of identifying categories.</p>
      </abstract>
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      <title>-</title>
      <p>1. INTRODUCTION AND OBJECTIVES
In recent years, digital heritage has begun to transform the
process of re-creating and understanding the past [1]. Infact,
the purpose of the ICOMOS Charter for Interpretation and
Presentation of CH Sites is to define the basic principles of
Interpretation and Presentation as essential components of
heritage conservation efforts and as a means of enhancing
public appreciation and understanding of CH sites [2]. The
paper describes reading criteria for the
interpretation/documentation, integrated systems of digital
technologies and 2D/3D digitization of CH and the
procedures followed by DRP [3] through integrated digital
survey. The DRP is meant to be particularly useful to
heritage managers who are developing recording,
documentation, and information management strategies for
territories, sites, monuments. Recording, documentation,
and information management are among the central
activities of the decision-making process for heritage
conservation management [4]. Conservation, being an
ongoing activity, can be best described as a cyclical
process, with heritage information being the knowledge
base to which everyone dealing with the heritage
contributes and from which everyone retrieves information.
Without such a knowledge base collecting and
disseminating information at all stages, the conservation
process is without reference [5]. The DRP offer the
possibility of obtaining new products not only in the
surveying activity but also in representation, visualization,
digital information and communications technologies with
powerful instruments for multi-faceted analysis.
Additionally, it offers a wide range of applications for
collecting and processing historical data, monitoring of
monuments and creating interactive information networks.
Moreover, the present research project it is placed between
the targets to explore the possibility of integrated digital
survey and multi-scale representation. I have made 3D
models of both the current status (geometric model) that
support the analysis of the various stakeholders in order to
identify guidelines for the relief aimed at the realization of
multi-scale models of architectural sites. Today new
opportunities for an integrated management of data are
given by multi-resolution models, that can be employed for
different scale of representation. It was identified a
methodology for reading that can return a survey aimed at
evaluating changes induced by simultaneity through the
decomposition of multi-scale representation of the parties
examined. Here I report the results of the research on most
significant architectural buildings of Milan and Trento.
2. LINE OF RESEARCH METHODOLOGY
I identified relief guidelines aimed at the realization of
architectural sites multi-scale models. This was made
possible by the geo-referencing process consisting in the
insertion of local systems in less local systems. Therefore
the relation between the uncertainty of the model (derived
from the uncertainty of the measurements), and
simplification of the model (derived from selecting and
transmitting only some geometric information considered
essential to the description of the object on a certain scale)
has been taken into account. The research was articulated
according to the DRP of the architectural and the urban
landscape, consisting of a set of cultural, geometric,
morphological and dimensional knowledge for the creation
of a 3D digital model implementable with multidisciplinary
themes. The DRP improves current policies and standards
and is based by: 1- heritage information with integrated
activities of recording, documentation, and information
management to acquire knowledge, understand values,
promote the interest and involvement of scholars and ensure
long-term maintenance and conservation of heritage places.
2- Information management with the process of finding,
cataloguing and sharing information by making it
accessible to potential users now and in the future;
3Recording with the acquisition of new information deriving
from all activities on a heritage asset, including heritage
recording, research and investigation, conservation, use and
management, and maintenance and monitoring. (Fig.1) The
benefits of integrated digital survey describing the physical
configuration of sites and their physical condition at known
points in time fall into two broad areas: 1-conservation
planning and management; 2-provision of a permanent
archival record. These were the steps followed: 1- Visual
frameworks in the urban space; 2- Criteria of heritage
significance and principles of evaluation of CH assets.
3Study of current methods of 2D/3D digitization intended
and Open Source for CH preservation. 4- Study of the relief
procedures with integrated laser scanning and
photogrammetry. About the relief of the elevated parts,
scanning and relief stance optimization were considered.
5Study of the relief integration methods applied to the plan
and the elevated parts in order to define a one-3D system.
This was to identify the invariant with respect to the scale
of representation in the geometry of the object and then
proceed to the geo-referencing. 6- Study of best practices
for the realization of 3D models that are mapped to
different nominal scales and with different levels of detail.
7- Study of scale changes in the individual models (site,
architecture, details) with simplifications based on the
selection and activation of geometric information from
different nominal scales. 8- Accurate documentation of
each cultural object, encouraging an integrated
interdisciplinary approach. 8- Study of Open Source tools
and software for CH fruition and conservation. From a
methodological perspective, the identification of Levels of
Study (LS) has allowed me to identify categories of
dimensional, constructive, formal and cultural values.
Therefore, I started from the existing data collection
organized by categories and subcategories, to understand
the current relationship between identity signs and
contemporary signs. The relief and the representation of the
LS return information classifiable in a uniformed manner
from a spatial, a functional, and a thematic point of view.
The guidelines on criteria and conditions for evaluation of
CH Assets were following: 1- historic and aesthetic
significance. Is related to its style, technical excellence,
beauty, quality of design and execution; 2- Scientific or
research significance; 3- Social and spiritual significance.
For this reason, the survey also was based on the following
criteria for complex representation: 1-Intrinsic significance
(Authenticity, Extent/Completeness, Integrity, Continuity
of use/demonstration, Corpus of evidence/study; 2
Contextual significance (Rarity, Representativeness
/Uniqueness, Diversity, Physical context, Threat/fragility;
3- Associative significance (Historic interest and
association, Aesthetic attributes. The principles of
evaluation of CH assets is carried out in accordance with:
1Scientific knowledge and experience in the field to which
the cultural asset belongs; 2-Available data and
documentation on the asset (inventory, survey, study);
3Results of additional research specifically;
connection/relation with other categories of asset, or
persons, communities and regions [6].
object are described in context of one of the LODs [12].
(Fig. 2)
3. MODEL AND CHARACTERISTICS OF MULTI-SCALE
REPRESENTATIONS
The goal of multi-scale representations is to provide several
representations where each representation is adapted to a
different information density. Moreover, the multi-scale
representations are representations of a given model in
several degrees of detail [7]. Typically one primary
representation is used to derive secondary representations
with adapted scale as needed. In practice multiple discrete
representations are typically prepared and stored in
advance. An important characteristic of multi-scale
representation is the similarity between the representations
and the described subject, where similarity is defined
depending on the purpose. According to defined by the
Object Management Group (OMG), a model captures a
view of a system and describes those aspects of the system
at the appropriate level of detail. Ideally the required variant
can be generated on-the-fly for a continuous range of
resolution requirements. To overcome the problem of
mismatch between required and prepared representation,
the representation with the closest resolution is used. In
their simplest form, multi-scale representations form a
ordered, linear sequence of representations R0,R1, ...,Rn,
where R0 has the highest detail and Rn the lowest.
Frequently, multi-scale representations are organized
hierarchically. Preprocessing a primary representation in a
hierarchical way allows one to follow a divide-and-conquer
approach, i.e., to split the problem into smaller portions and
process them independently [8]. In 3D computer graphics,
level of detail (LOD) modeling represents a fundamental
principle LOD modeling enables interactive rendering of
data sets that otherwise could not be rendered interactively
or could not be rendered at all, as their size exceeds main or
graphics memory, or processing power is too low. The
LOD models are models with low polygon count either
created by hand or derived automatically from a primary
model [9]. To avoid disturbing popping artifacts when
switching, geomorph techniques perform a smooth
geometric interpolation between different LOD models
[10].
3.1. From knowledge to Complex Representation: Multi-Scale
Representations of Virtual 3D City Models for CH and Urban
Space
According to defined by the international CityGML
standard (see you Open Geospatial Consortium) a virtual
3DCM is the digital representation of urban space that
describes geometrical, topological and appearance
properties of its components with an explicit level of detail
(LOD). In general, a 3DCM serves as an integration
platform for multiple facets of an urban information space.
Visualization is an important part of many applications of
3DCMs [11]. CityGML defines for city objects five LODs
and requires that geometric and thematic aspects of a city</p>
      <p>
        These were the LODs followed: 1- LOD-0 used for regional
scale and contains a 2.5D terrain model with a surface
texture applied. 2- LOD-1 contains prismatic block building
models with flat roofs and no façade textures. 3- LOD-2
contains buildings with differentiated roofs as well as
thematically and geometrically differentiated surfaces,
including textures. Vegetation objects may be included.
4LOD-3 contains highly detailed architectural buildings with
high resolution textures as well as highly detailed
vegetation and transportation objects. 4- LOD-4 adds
interior structures to buildings, such as stairs or furnitures
[13]. The CityGML standard is flexible with multiple
representations of a 3DCM. Infact, 3DCM should be used:
1- Combinations of different LOD representations of
buildings and the relief model within the same scene is
possible. 2- CityGML introduces the concept of the terrain
intersection curve (TIC), which describes the interface
between a feature. It is a applications can locally adapt the
terrain model to embed the feature. According to defined by
Kada (2005) suggests reconstruction of a building model
using half spaces. For each wall face of the original model,
the algorithm creates a plane and a related buffer. Starting
with the face with the largest area, the algorithm merges
faces within a given maximum distance to the current face’s
buffer, adapting the plane’s parameters and leading to a
smaller number of planes. The final set of planes is used to
create a cell decomposition of the building. Rau et al.
(2006), suggests an approach working on building models
comprised of prismatic shapes with sloped roof structures.
First, the roofs are flattened and adjacent polyhedrons are
merged if their height difference is smaller than a given
feature resolution, yielding 2.5D shapes. Moreover, Forberg
(2004) introduces another scale-space based on parallelism
to generalize earlier findings and combine characteristics of
both morphological and curvature space operations. The
algorithm identifies parallel faces of the model and, starting
with the smallest distance, moves faces towards each other
so that they share the same plane. The moved faces result in
merging building parts, removal of protrusions or
adjustment [14]. In the approach of Fan et a
        <xref ref-type="bibr" rid="ref2">l. (2009</xref>
        ) is
directed at generalizing CityGML LOD-3 building models
where the polygons belonging to one wall are projected to
the farthest of its polygons’ planes; polygons that are not
parallel or coplanar are discarded. In his thesis Fan (2010)
suggests another approach for the computation of CityGML
LOD-2 building models with the building footprint is
simplified using rules from Staufenbiel (1973), extended by
rules to handle non-orthogonal curvature. Moreover. the
roof geometry is generalized by individual polygons that
are simplified using the same rules. Third, the generalized
footprint is extruded until it meets the generalized roof
geometry. Coors (2001) applies an adapted surface
simplification algorithm (Garland and Heckbert, 1997) to
simplify single buildings. Introducing dominance values on
important parts of the building. The simplification
algorithm is adapted to conserve these parts while
simplifying geometric complexity of the remaining model
[15].
3.1.1 Cell-Based Generalization
Cell-based generalization another technique to create
representations of 3DCMs that are focused on giving a
quick overview about the general structures of the urban
space and is intended to facilitate multiple purposes.
According to defined by Lynch (1960), who describes five
major elements forming a city’s mental image: paths, edges,
districts, nodes, and landmarks distinguishable objects used
for orientation. Therefore, I address this by using street
network, coast lines, as well as non-building areas of a
3DCM to create cell blocks. I assume that block cells can
represent individual buildings and monuments abstractly.
The cell blocks are further shaped by computational
geometry operations and enhanced by landmark buildings,
which are maintained in the visualization. 3D building
shapes are included, rendered as transparent shapes and
with perspective projection in real-time. The visualization
aims at adaptation to the scale: with increasing scale,
buildings are first represented as footprints, then as oblique
3D shapes with reduced height, then with their full height.
Secondly, photo-realistic perspective views of 3DCMs –
either real-time renderings or oblique photographic imagery
– are enhanced with text, icons, and rendered vector data
[16]. (Fig. 3) The technique of Royan et al. (2005)
processes 3DCMs containing 2.5D building models to get a
hierarchical representation usable for progressive
transmission. The algorithm applies simplification
operations to the 3DCM: footprint simplification by vertex
removal, aggregation of adjacent buildings by edge
removal, and aggregation of non-connected buildings
guided by a cost function [17]. Designing landmarks in
virtual 3D environments such as 3DCMs therefore can
facilitate navigation and the acquisition of spatial
knowledge [18]. Local landmarks and different levels of
global landmarks can be differentiated by the size of their
reference region. For higher LOA representations, I use a
different technique to identify landmarks. The goal is to
reduce the number of landmarks, while keeping important
ones and maintaining an even spatial distribution. In the
resulting landmark hierarchy, the number of landmark
buildings is steadily reduced in subsequent layers of the
hierarchy. (Fig. 4)
3.1.2 Creating Building Representations
We have two types of building representations: high detail
3D geometry stored for single landmark buildings and 2.5D
cell blocks. Whilst the former is directly integrated into the
scene, the latter requires the creation of 3D geometry by
extruding their polygonal footprints. The extrusion shape
consists of wall geometry and planar roof geometry. We use
the computed LOA representations in a focus+context
scenario by applying generalization lenses [19]. (Fig. 5)
      </p>
    </sec>
    <sec id="sec-2">
      <title>4. 3D DIGITIZATION METHODOLOGIES</title>
      <p>At present there is a significant variety of 3D acquisition
methodologies. Those can be classified to contact and
noncontact 3D scanners [20]. Contact systems are not
popular in the CH domain due to the fragile nature of
artefacts. In contrast, non-contact systems have been used
during the last decade in many CH digitization project with
success [21]. Non-contact systems are divided into active
and passive. The Laser Triangulation (LT) active
acquisition method is based on a system with a laser source
and an optical detector with the depth is computed by using
the triangulation principle. The acquisition system is able to
capture both geometry and colour using the same composite
laser beam while being unaffected by both ambient light
and shadows [22]. The Time-Of-Flight (TOF) active
method is used for the 3D digitization of architectural
ensembles. The method relies on a laser range finder which
is used to detect the distance of a surface by timing the
round-trip time of a light pulse [23]. For large measuring
ranges TOF systems provide excellent results [24]. The
Structured Light (SL) is another popular active method that
is based on projecting a sequence of different density
bidimensional patterns of non-coherent light on the surface
of an object and extracting the 3D geometry by monitoring
the deformations of each pattern [25]. The SL systems that
are able to capture 3D surfaces in real-time by increasing
the speed of projection patterns and capturing algorithms
[26]. The Image-Based methods involve stereo calibration,
feature extraction, feature correspondence analysis and
depth computation based on corresponding points can be
considered as the passive version of SL. Photogrammetry is
another popular active method that is used to determine the
2D and 3D geometric properties. It can be described as the
determination of camera interior and exterior orientation
parameters, as well as the determination of the 3D
coordinates of points on the content of the images [27].
Open photogrammetric software solutions are able to
perform tasks such as high accuracy measurements, camera
epipolar geometry computations and textured map 3D mesh
extraction. Recently have been introduced semi-automated
image-based methods such as Structure-From-Motion
(SFM) and Dense Multi-View 3D Reconstruction (DMVR)
methods. The SFM-DMVR (algorithms from unordered
image collections) attempts to reconstruct depth from a
number of unordered images that depict a static scene or an
object from arbitrary viewpoints. The method mainly uses
the corresponding features, which are shared between
different images that depict overlapping areas, to calculate
the intrinsic and extrinsic parameters of the camera [28].
Eos Systems Inc. offers PhotoModeler Scanner software to
perform tasks such as reconstruct the content of an image
collection in 3D dense point cloud that can be converted to
a triangulated 3D mesh of different densities. In the same
direction, Agisoft offers PhotoScan to perform high quality
3D reconstructions, orthophotographs, digital elevation
models and georeferenced 3D models.
4.1 Case Studies: Digization of Cultural Heritage
The cases study are a attempt for the 3D digitization and
representation of two CH in Milan, Italy. There are no
buildings around the monuments and they are considered an
open access monuments. The 3D digitization of the
monuments could be performed using photogrammetric
survey with multi-image 3D reconstruction. The position of
the two monuments allow the selection of viewpoints
for photoshooting around the model. I used Agisoft
PhotoScan as software solution for the production of digital
3D replicas of monuments. Infact, the process of capturing
require temporary scaffolding for the image-based
methodologies. I need to create a complete exterior
3D model of a monument using terrestrial photography.
Moreover, I compare the 3D mesh produced by the
SFMDMVR software against the data I captured using terrestrial
3D laser scanning and total station surveying. For the
terrestrial photo shooting session a DSLR Nikon D40
(1855 mm lens) has been used with distance of the camera
from the monument’s surface was estimated at 5 meters.
The range scans covered both high and low curvature areas
that were enough for validating the quality of the data
produced by SFM-DMVR software [29]. A total of 400
photographs has been used for the 3D model of the
monument 300 and a total of 24 points were measured
using a Topcon GPT-3005N total station. The SFM-DMVR
software (Version 0.8.5) has been used for this case study.
(Fig. 6)
4.2 Heritage Recording and 3D Modeling with
Photogrammetry and 3D Scanning
The aspects of the evolution of CH can be documented by
the combined use of laser scanner and techniques of
photoscanning. (Fig. 7) In fact, the photogrammetry has had the
task of providing the deliverables on which to base the
reading multi-scale. Through geo-referencing, in the
process of surveying, which can identify the invariant with
respect to the different scales of representation in the
geometry of the objects. The network classification of sites
surveyed for buildings recorded in Milan was composed in
two schemes. The network was built with total station Leica
TCA, while the GPS and Leica GPS System 500 GPS1200.
The points of support for the relief photogrammetric were
detected with both topographic measurements (Leica
TCR1103 and TCRM 1103) from ground GPS. The GPS
survey was carried out with a long session for the
determination of the absolute coordinates of the points of
the main network, while for the determination of natural or
target points for the support photogrammetric has acquired
in RTK mode. The laser scanner used is the model of the
Riegl LMS-Z360i with integrated digital camera which
offers the opportunity to acquire not only the three points
needed to determine the coordinates X, Y, Z each point but
also to acquire even the RGB values corresponding to each
measured point. To obtain a dense DEM models of the
monuments of the site, you have done a total of 17 scans in
overview mode and detailed in the in the center of Milan,
and 13 in Trento, always in the two modes. The clouds
were aligned on the basis of support points and tie points
measured topographically distributed in the scanning area.
The optimal value of 0.2 mm multiplied by the denominator
of the ratio allows you to fix a priori a pattern of
acquisitions in a manner very similar to the design of a
photogrammetric survey, considering not only the overlap
between scans to ensure good alignment, but also a
distribution "pseudo-do-set" of points. The construction of a
3D-RGB digital model, obtained by some digital images of
a real model, makes possible to acquire not only geometric
data but also chromatic and thematic data. The data
acquisition phase with ZScan was obtained by simultaneous
acquisition of point of clouds and "photo-scanning" textures
based on an algorithm of tri-multifocal analysis of the
image. The latter, using coloured point of clouds, sees the
images as input of information being metrically and
chromatically valid in 3D coordinates of the points. The
resulting models were exported for the subsequent phases
of editing and generation of plans, sections, profiles,
contour lines, up to DEM (Digital Elevation Model). The
use of multi-level images, obtained with overlapped colored
filters, can return as a photometric light curve resulted from
the amount of absorbed light.</p>
    </sec>
    <sec id="sec-3">
      <title>5. RESULTS AND CONCLUSION</title>
      <p>In this paper different approaches to the acquisition and
visualisation of 3D information from images have been
examined. Moreover in this paper different approaches to
the 2D/3D digitisation, 3D data acquisition methodology,
3D data post-processing of 3D information from images
have been examined. I have to demonstrate that 3D
acquisition methodology play an important role at all scales
of research. 3D modeling should be intended as the
generation of structured 3D data from the surveyed
unstructured data and it consists of geometric and
appearance modeling. However, for large sites’3D
modeling, the best solution is the integration of image and
range data for document and preserve the landscape and
heritage as well as share and manage them. The RDP is
configured in this way as a resource to analyze the complex
reality of measuring the material aspects with
socioeconomic mechanisms of perception of the quality of
living. In addition the RDP show the potential of modern
technologies of detecting, sharing and managing digital
information in order to preserve the CH. The recent
developments in image matching have demonstrated the
potential of photogrammetry to derive all the fine details of
an object with geometric results from a relatively small
number of images very similar to active sensors.</p>
    </sec>
    <sec id="sec-4">
      <title>6. REFERENCES</title>
      <p>
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