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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>A. Mansouri);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>A drone-based reflectance transformation imaging sys- tem for capturing surface appearance in inaccessible ar- eas of cultural heritage buildings</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mohamed Amine Dahmouni</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Antoine Blondeau</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Matthieu Rossé</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Fan Yang-Song</string-name>
          <email>fanyang@u-bourgogne.fr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alamin Mansouri</string-name>
          <email>alamin.mansouri@u-</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>ImViA Lab</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Université Bourgogne Europe</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dijon</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>France</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>LEAD CNRS UMR 5022</institution>
          ,
          <addr-line>Dijon</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>1 Reflectance Transformation Imaging (RTI) has proven to be a powerful technique for enhancing the visual analysis of surface features in cultural heritage, archaeology, and material studies. However, conventional RTI systems-whether based on domes, movable light rigs, or manual acquisitions-are inherently limited to planar or moderately curved surfaces within easily accessible zones, typically at ground level. These spatial constraints restrict RTI deployment in many relevant cases, especially those involving architectural elements, ceilings, vaults, or large-scale immovable objects located at heights or in confined spaces. To address these limitations, this article evaluates an RTI system that uses a drone as a mobile light source carrier. This airborne setup aims to extend RTI capabilities to areas previously unreachable by decoupling light positioning from static ground arrangements. The article describes our implementation of H-RTI with a drone for real data acquisition and steps toward its automation. It highlights the scientific and technical importance and challenges of such a system for expanding RTI's operational scope in heritage and environmental documentation.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Appearance</kwd>
        <kwd>RTI</kwd>
        <kwd>UAV</kwd>
        <kwd>Cultural heritage</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The visual appearance of a surface results from a complex interplay of two domains: physical
interactions between the surface and light, and the psychovisual perception mechanisms of the
human visual system. Mastering surface appearance is a key challenge in various sectors, includ
ing luxury goods, cosmetics, packaging, aeronautics, automotive, cultural heritage, and the creative
industries—where the demand for digitizing appearance is steadily growing. To meet this
challenge, two main approaches are used:
assessments. These methods pave the way for digital appearance capture, enabling more
reliable control of production processes or preservation efforts in heritage contexts.</p>
      <p>Among these instrumental techniques, reflectance-based imaging is particularly relevant.
Reflectance is typically described through two components:


an angular component, which depends on the geometry between the light source, the
surface, and the observer or sensor;
a spectral component, which describes how the surface reflects light across different
wavelengths.</p>
      <p>Both components can be measured by varying the position of the light source and filtering the
reflected light accordingly.</p>
      <p>One notable technique, Reflectance Transformation Imaging (RTI), focuses on capturing the
angular component. RTI has been widely adopted in cultural heritage and is now emerging in
industrial contexts. It mimics the intuitive behavior of human inspectors who, during sensory
analysis, tilt or rotate objects under changing light angles to reveal surface details. RTI system
atizes this process by digitally recording how surface appearance changes under different lighting
directions.</p>
      <p>
        Reflectance Transformation Imaging (RTI) is a computational photographic technique
introduced by the article [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] to improve visualization of fine surface details by capturing variations in
surface reflectance under different lighting directions. It was initially developed at HP Labs as a
way to portray surface appearance more comprehensively than traditional static images. Instead
of reconstructing 3D geometry, RTI focuses on appearance-based rendering, enabling scholars to
examine how subtle surface features—such as scratches, tool marks, and inscriptions—react to
oblique lighting. It has been widely adopted in cultural heritage applications because of its
noninvasive nature and capacity to reveal features invisible under normal lighting, particularly in
documenting inscriptions, coins, reliefs, and paintings [[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]].
      </p>
      <sec id="sec-1-1">
        <title>1.1. Principles of RTI and Data Utilization</title>
        <p>
          RTI involves capturing a series of photographs from a fixed camera position, each under a
different lighting direction. The resulting images are processed computationally to estimate the
reflectance behavior at each pixel, typically using a Polynomial Texture Map (PTM), [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]; Hemisphere
Harmonics model [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]; or more recently Discrete Modal Decomposition (DMD) [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ], or Neural RTI
[
          <xref ref-type="bibr" rid="ref6">6</xref>
          ].
        </p>
        <p>
          The generated RTI file enables interactive relighting, allowing the viewer to dynamically change
the virtual light direction to better reveal the surface geometry. Besides relighting, RTI data can
also be used for analysis (segmentation, saliency maps, etc.) or for deriving local geometric
attributes (Normal maps, slopes, curvatures, etc.) [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ]. Figure 1 shows the RTI pipeline from
acquisition to analysis.
        </p>
      </sec>
      <sec id="sec-1-2">
        <title>1.2. RTI Acquisition Modes and Their Limitations</title>
        <p>Several hardware configurations have been developed to acquire RTI datasets:




</p>
        <p>
          Fixed LED domes: precisely calibrated hemispherical structures with embedded LEDs
[[
          <xref ref-type="bibr" rid="ref2">2</xref>
          ]; [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]]. While they offer reproducibility and speed, they are limited in size and generally
require laboratory conditions.
        </p>
        <p>
          Movable-light rigs: allow the repositioning of a light source manually or automatically.
These offer more flexibility but are often slower and more operator-dependent.
Highlight RTI: a free-form method using a handheld light and a reflective sphere to
estimate lighting direction for each frame. While suitable for in situ documentation, it
suffers from lower accuracy and reproducibility [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ].
        </p>
        <p>
          Robotic arms or gantry systems: allow for precise, automated control of the light but
are bulky and less field-adaptable[
          <xref ref-type="bibr" rid="ref9">9</xref>
          ].
        </p>
        <p>
          UAV based RTI: To our knowledge, two articles have proposed an approach based on the
use of drones [[
          <xref ref-type="bibr" rid="ref10">10</xref>
          ],[
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]]. However, these articles lack technical details on the acquisition
process and the explanation of the data.
        </p>
        <p>All these methods require physical access to the object. This limits their use to surfaces that are
flat, stable, and within human reach, excluding many important cultural heritage scenarios. In fact,
many heritage surfaces of high scientific interest remain physically inaccessible: ceiling frescoes,
high-reliefs, upper vaults, and fragile architectural elements. These locations often prevent the use
of scaffolding or dome installation, making traditional RTI impossible. Figure 3 shows some objects
from Cheminova Pilots that are inaccessible from a conventional RTI perspective.</p>
        <p>
          To overcome this, we propose a drone-based RTI system, in which a UAV carries a calibrated
light source and moves around a fixed camera to simulate RTI-like variable lighting. This concept
is inspired by emerging studies on mobile lighting systems for 3D reconstruction and surface
inspection; [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ].
        </p>
        <p>Developing such a system, however, requires more than flying a drone with a flashlight. It
involves:





</p>
        <p>Real-time synchronization between the UAV, the light source, and the camera.
Accurate tracking of the drone’s position and orientation (e.g. via motion capture or
LiDAR).</p>
        <p>Control over lighting geometry, incidence angle, and photometric stability.</p>
        <p>Management of drone-induced vibrations, motion blur, and light scattering.
Adequate pre-processing to compensate non uniform illumination as well as light positions
distribution over the hemisphere</p>
        <p>Adequate methods for reconstruction and feature extraction</p>
        <p>This article presents an experimental setup using a drone-mounted continuous LED light
with synchronized acquisition, implementing H-RTI and steps towards automation.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. Proposed approach</title>
      <sec id="sec-2-1">
        <title>2.1. Real H-RTI Acquisitions</title>
        <p>This section explains the practical setup of a drone-based RTI simulation for data acquisition of
inaccessible zones with a fixed camera.</p>
        <p>Environment: To validate the proof of concept (POC) we intend to implement, we conducted
an RTI acquisition experiment inside a gymnasium with a sufficiently high ceiling (8 meters). This
setting is similar to the interior of a heritage building, such as a cathedral, church, castle, or gallery.
In the gymnasium, the lighting conditions are not fully controlled, much like in a church, and while
there is some ambient light, it is relatively weak compared to the intensity of the active lighting
directed towards the stage from an LED source.</p>
        <p>Scene: To create a scene with ground truth that simulates real conditions, we positioned a
painting on a support parallel to one of the gymnasium walls at a height of approximately 4
meters. A camera was set up on a tripod in front of the painting, 4.5 meters away and at a height of
3.8 meters. Prior to this, the painting was digitized in the laboratory using the H-RTI technique,
which involved using a handheld light source. The POC we aim to validate in this experiment
follows the H-RTI principle, which entails placing reflective spheres around the scene. These
spheres serve to estimate the lighting directions, which are not known in advance.</p>
        <p>Figure 4 illustrates the configuration of the camera stage and the arrangement of spheres
around the painting for this proof of concept.</p>
        <p>Hardware: Our implemented setup utilizes readily available operational hardware with a
few modifications and adaptations.</p>
        <p>
</p>
        <p>Drone: A DJI Air 3s equipped with three batteries to ensure sufficient flight time.
Light Source: A high-power LED extracted from a Milwaukee headlamp. This light source
is mounted directly on the drone's gimbal, which has been lightened beforehand.</p>
        <sec id="sec-2-1-1">
          <title>The drone, equipped with the light source, is shown in Figure 5.</title>
        </sec>
        <sec id="sec-2-1-2">
          <title>The camera: a Nikon D850 DSLR camera Setting up and triggering image capture: a Wi-Fi module called CamRanger allows us to remotely adjust camera parameters (exposure time, ISO, focus, etc.) and take images in each light direction.</title>
          <p>Acquisition: Once the system is set up, the drone operator configures it to ensure the light
source always points toward the scene's center. The operator also ensures the drone stays at the
same distance from the scene at all stations. An image is captured and stored at each drone station,
corresponding to a specific lighting direction using the camRanger wireless module. To cover the
hemisphere around the scene, the drone is moved systematically along an arc to avoid missing any
large areas. For this proof of concept (POC), approximately fifty lighting directions were tested
over 50 minutes.</p>
          <p>Figure 6 shows a moment during the acquisition process when we can see the scene, the drone
camera, and the drone operator.</p>
        </sec>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Pre-processing and Reconstruction</title>
      </sec>
      <sec id="sec-2-3">
        <title>2.2.1. Pre-processing</title>
        <p>Some preprocessing is still necessary to effectively utilize the data collected with this method. The
most important steps include:</p>
        <p>- Estimation of lighting directions: This step is crucial because, in this free-form setup, the
directions are not predefined and must be estimated using reflecting spheres. The spheres' perfect
spherical shape and reflective surface allow us to detect the highlight spot and determine the light
direction. Additionally, from the four directions identified on the four spheres, we can estimate
lighting directions per pixel, enhancing our approach's robustness.</p>
        <p>Figure 7 shows the bright spots detected on the four spheres, allowing us to estimate lighting
directions.</p>
        <p>First, we observe that the extraction of lighting directions, corresponding to the drone's spatial
positions, from the spheres with good accuracy has been successfully completed. This provides an
initial validation of the concept.</p>
        <p>- Correction of uneven illumination and intensity: changes based on the source's angle and
distance from the scene's center.</p>
        <p>Figure 8 shows the principle of these variations.</p>
        <p>To overcome this imperfection, we use the method we have developed and proposed in the
article. [13]</p>
        <p>- Calibration of the uneven distribution of lighting directions in the hemispherical space around
the scene. This calibration is essential when using reconstruction methods (PTM, HSH, and DMD)
that assume a constant variance (uniform distribution). To accomplish this, we use the technique
we developed, which weights the lighting directions based on the local density of directions [14].
We estimate the local density through a spatial mesh scan representing the lighting directions.
Thanks to this approach, images from areas with low density receive higher weight in the
reconstruction. The principle of this method is illustrated in Figure 9.</p>
      </sec>
      <sec id="sec-2-4">
        <title>2.2.2. Reconstruction</title>
        <p>To validate the usability of the data collected during this indoor sequence with the drone-based
system, we reconstructed the scene using the PTM and HSH methods and created relightings to
simulate how the painting would appear under continuously changing illumination. As mentioned,
this scene was previously captured by manually manipulating the lighting source. For both
acquisitions (UAV and manual), we used the same number of lighting directions (50 lp), although they
do not correspond exactly to the same directions. However, the spatial coverage is very similar.</p>
        <p>Figure 10 displays the two relightings of the same scene obtained through the two methods.
The visual comparison confirms that the data is valid, producing relightings that look similar to
those from the manually acquired data.</p>
        <p>Additionally, using the RTI data collected with the drone, which also serve as photometric
stereo data, we reconstructed the normal map. This map, shown in Figure 11, illustrates the
orientation of points in the scene relative to the camera. The map appears to be highly accurate,
especially for the four spheres. These spheres have perfect spherical geometry, and their
distribution and distance from the camera are known, allowing us to validate the normal map.</p>
      </sec>
      <sec id="sec-2-5">
        <title>2.3. Towards automation</title>
        <p>In the first approach, we demonstrated the feasibility of real acquisition by implementing the
H-RTI principle. This indicates the need to use reference spheres. However, placing the spheres
under certain acquisition conditions may be impossible. For this reason, we tested a second ap
proach to increase the automation of RTI acquisition using a drone.</p>
        <p>For the H-RTI, reference spheres were used to determine the spatial positions of the light source.
However, this information can be obtained if the drone is equipped with advanced positioning
technologies such as RTK GPS, Ultra-Wideband (UWB), or visual-inertial SLAM to enhance spatial
accuracy. The goal is to ensure the drone can independently map and capture the area with its
camera. To achieve this, ROS was used. The ESP32 aboard the drone, equipped with its LiDAR and
IMU, can then map the area and create a half-sphere around the object. Figure 12 shows the Drone
used for H-RTI after equipping it with LiDAR and ESP32.</p>
        <p>We have completed initial mapping tests of the environment, which enable us to eliminate the
spheres. The early results, shown in Figure 13, are very promising, as we have achieved relatively
accurate mapping, especially of vertical walls and other obstacles.</p>
        <p>After environment mapping, automated acquisition can be planned using pre-calculated
positions. To ensure the system functions correctly, several key steps are necessary. First, the drone
must automatically generate waypoints that position the light source optimally around the object.
Next, it must adjust the light’s orientation to properly aim at the surface. At each position, images
are captured, and all relevant location and orientation data are recorded.</p>
        <p>To ensure precise alignment between the light source and the object, the system must account
for multiple coordinate systems—such as those of the world, the drone, and the sensor. This in
volves applying specific transformations to accurately relate their positions and angles.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Conclusion and future work</title>
      <p>In this article, we have evaluated the feasibility of drone-based Reflectance Transformation Imag
ing (RTI) relying on a semi-manual configuration and steps oriented toward more automation. We
have detailed the necessary implementation steps—from sensor integration and orientation control
to acquisition protocols and post-processing routines—providing a replicable and scalable
foundation for future deployments.</p>
      <p>The manual H-RTI approach, based on reference spheres and a static camera setup, allowed us
to validate the viability of airborne light-source positioning. The visual and geometric quality of
the relightings and normal maps demonstrated strong consistency with conventional ground-based
RTI, confirming the effectiveness of drone-based acquisition. Building on this, we described a more
automated strategy, incorporating advanced UAV capabilities such as GNSS, IMU and LiDAR. This
automated approache be further refined and evaluated in real-world conditions during upcoming
acquisition campaigns at the pilot sites of Cheminova project in Valencia and Vienna. These field
deployments will provide critical feedback on the system’s robustness, repeatability, and
integration with RTI processing pipelines, paving the way for broader adoption of drone-based RTI in the
documentation of inaccessible or large-scale heritage structures.</p>
    </sec>
    <sec id="sec-4">
      <title>Acknowledgement</title>
      <p>“This work is Funded by the project entitled ChemiNova, which has received funding from the
European Union’s Horizon Europe Framework Programme under grant agreement 101132442."</p>
    </sec>
    <sec id="sec-5">
      <title>Declaration on Generative AI</title>
      <sec id="sec-5-1">
        <title>The author(s) have not employed any Generative AI tools.</title>
        <p>Heritage Science (pp. 138-152). Hershey: IGI Global Scientific Publishing.
doi:10.4018/978-17998-2871-6.ch007
[13] Castro, Y., Goïc, G. L., Chatoux, H., Luca, L. D., &amp; Mansouri., A. (2023). A new pixel-wise data
processing method for reflectance transformation imaging. The Visual Computer, 40(8), 5287–
5307. doi:10.1007/s00371-023-03105-4
[14] Castro, Y., Nurit, M., Pitard, G., Zendagui, A., Goïc, G., Le Brost, V., . . . De Luca, L. (2020).</p>
        <p>Calibration of spatial distribution of light sources in reflectance transformation imaging based
on adaptive local density estimation. Journal of Electronic Imaging, 29(04), 041004.
doi:10.1117/1.JEI.29.4.041004</p>
      </sec>
    </sec>
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