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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>SkiSlo: Leveraging Digital Twins to improve Ski Safety</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Davide Cortinovis</string-name>
          <email>davide.cortinovis@asp-poli.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giulia De Pascale</string-name>
          <email>giulia.depascale@asp-poli.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nunzio Licalzi</string-name>
          <email>nunzio.licalzi@asp-poli.it</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrea Pantano</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Matteo Postinghel</string-name>
          <email>matteo.postinghel@asp-poli.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Riccardo Savio</string-name>
          <email>riccardo.savio@asp-poli.it</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Cosmo Spinosa</string-name>
          <email>cosmo.spinosa@asp-poli.it</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrea Tarabotto</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Daniele Apiletti</string-name>
          <email>daniele.apiletti@polito.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Carlo Iapige De Gaetani</string-name>
          <email>carloiapige.degaetani@polimi.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giovanni Malnati</string-name>
          <email>giovanni.malnati@polito.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Politecnico di Milano, Department of Civil and Environmental Engineering</institution>
          ,
          <addr-line>Milan</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Politecnico di Milano</institution>
          ,
          <addr-line>Milan</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Politecnico di Torino, Department of Control and Computer Engineering</institution>
          ,
          <addr-line>Turin</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Politecnico di Torino</institution>
          ,
          <addr-line>Turin</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>The rising popularity of winter sports has led to an increase in the frequency and severity of skiing accidents. This issue is intensified by the lack of standardized regulations for route-setting and protection placement, processes which currently rely heavily on the subjective experience of course setters and safety managers. Consequently, enhancing safety measures on ski slopes is a critical priority. In this work, we propose SkiSlo, a framework that provides eficient, objective support for safer route-setting decision-making. SkiSlo utilizes a digital twin of the slope to pinpoint high-risk zones and guide the placement of protection devices. The framework follows a threephase protocol: digital twin construction, descent simulation, and data-driven risk estimation. We demonstrate the practical application of SkiSlo through ongoing testing at the Sestriere ski facility on the Kandahar slope.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Digital Twin</kwd>
        <kwd>Digital Surface Model</kwd>
        <kwd>Ski Safety</kwd>
        <kwd>Risk Modelling</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        In recent years, advancements in materials, construction, and geometry have defined modern ski
performance, allowing athletes to constantly push the limits of their equipment (Coupe [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]). However,
this evolution has led to substantially higher speeds and load-intensive turning in alpine ski racing,
culminating in an increased injury rate among elite athletes (Gilgien et al. [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]). Furthermore, the
incidence of skiing-related accidents has also risen in the recreational sector, driven by the growing
popularity of winter sports [
        <xref ref-type="bibr" rid="ref3 ref4 ref5 ref6 ref7">3, 4, 5, 6, 7</xref>
        ]. To address this, we propose a novel framework designed to
detect and mitigate slope hazards, thereby raising awareness of the potential risks skiers face during
descent.
      </p>
      <p>We propose the SkiSlo framework (a more detailed description is provided in Section 3) including:
Mountain digital twin: a digital representation of the slope to achieve greater realism in modelling
the path geometry and snow conditions.</p>
      <p>Skier descent simulations: to adequately comprehend the stresses skiers experience, without
hindering their safety, we perform descent simulations. We leverage our own custom model, realistically
mimics the skier’s physical behaviour during descent, to compute the acting forces given the skiers
trajectory on the slope.</p>
      <p>Published in the Proceedings of the Workshops of the EDBT/ICDT 2026 Joint Conference (March 24-27, 2026), Tampere, Finland
* These authors contributed equally to the project.</p>
      <p>Objective risk quantification: based on a risk index, an objective risk quantification is given,
enabling a highly interpretable graphical representation of high-risk areas.</p>
      <p>We selected the Kandahar slope at the Sestriere ski area for the initial experimental evaluation of our
framework, primarily due to the research team’s extensive prior knowledge of the site’s topological
characteristics. To date, an experimental campaign featuring several data measurements have been
conducted to test a diverse range of equipment and methodologies, with further trials scheduled for the
near future.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>This section provides a brief overview of the state of the art in the fields related to three main aspects
of the SkiSlo framework (addressed in section 1).</p>
      <sec id="sec-2-1">
        <title>2.1. Mountain Digital Twin</title>
        <p>
          Several works in the literature present frameworks for analysing mountain slopes serving many diferent
purposes. Many of them focus on the use of digital twins to predict and estimate hydrological risk
(as Zhang et al. [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]), where the implementation of neural network algorithms for dynamic prediction
of geological disasters is proposed. Others, such as Liu et al. [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ], are committed to enhancing the
performance of the digital twin of geo-hazard slopes by combining monitoring data and slope survival
records to probabilistically update the model and predict its stability.
        </p>
        <p>
          Papers such as the work from Izumida et al. [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ], instead, demonstrate the use of high-resolution
topographic datasets to produce accurate digital surface models (DSMs) of the research area. This
result is accomplished through the combination of structure-from-motion (SfM) photogrammetry and
aerial light detection and ranging (LiDAR) data, both derived from sensors carried by an unmanned
aerial vehicle (UAV). Further evidence of how the advancements in UAV technology have led to their
widespread adoption across various scenarios is discussed by Liu et al. [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. Their work highlights the
eficiency of LiDAR-based UAV systems for capturing detailed information about inspection sites, such
as in agricultural monitoring, search-and-rescue missions, and industrial inspections.
Finally, Avanzi et al. [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ] present the accuracy of snow-depth measurements from
Unmanned-AerialSytems (UAS) photogrammetry compared with the latest high-resolution laser-scanning device
(MultiStation) relying on manual probing. Results show a Root Mean Square Error (RMSE) between UAS
data and manual probing in the order of 0.20 − 0.30  , or even lower 0.06 − 0.17  when areas of
potential outliers are excluded, demonstrating the reliability of compact and portable remote-sensing
devices like UASs.
        </p>
        <p>Our work further contributes to assessing the current surface modelling technique for the Digital Twin,
based on aerophotogrammetry and LiDAR sensors (section 3.1), given its proven repeatability and
vertical centimetric accuracy.</p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Descent Simulations</title>
        <p>
          Although the aims of the works are extremely various, the main references for the descent modelisation
were the following ones: Li et al. [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ] studied the influence of wind coming from the four cardinal
directions and how it influenced the descent time of the skier. In our case study, we limited the analysis
to the case in which the air is still. Gao et al. [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ] developed a model that incorporates a full 3D
musculoskeletal model, a flexible ski model, a ski-snow contact model and an air resistance model. Then,
using the acquired experimental data and inverse kinematics, they were able to optimize the friction
coeficient parameters, also accounting for the skier’s skill level. Cai and Yao [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] numerically studied
the optimal descent trajectory that minimizes the descent time; they modelled the skier as a rigid body,
in particular a rod that connects the center of mass to the skies. The same authors in Cai and Yao [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ]
proposed an improved retractable body model that uses a spring to simulate the flexion and extension
motion of the skier’s legs. While these models allow for realistic mechanical simulations, they often
require significant computational efort, particularly when simulating a descent on a large-scale real
slope. The contribution of this work will be to investigate the efectiveness of a simplified modeling
approach, less complex than those previously discussed, applied directly to real terrain data. The goal is
to achieve a suitable balance between computational eficiency and physical accuracy, enabling feasible
large-scale simulations while preserving the essential dynamics of the motion. The physical formulation
adopted in this work draws its main theoretical inspiration from D. Lind and S. Sanders, The Physics of
Skiing [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ].
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>2.3. Risk Prediction</title>
        <p>
          Radovanovic et al. [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ] build a decision model for the prediction of ski injuries using pre-collected data.
Although their aim is, similarly to ours, to propose a tool that supports decision-making processes, their
approach eficiently exploits data mining techniques to predict injury rates throughout the analysis of
historical data. Thus, our work is substantially diferent in the type of risk predicted and in the scope;
we limit our scope to a single slope, analysing it at a finer grain. While Wang et al. [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] attempt to
model injury risk rates using weather data.
        </p>
        <p>While some works on risk analysis and skiing are present in the literature, none of them address the
problem posed in this document.</p>
        <p>To our knowledge, the present proposal is the first of its kind. Diferent from those in
literature, it provides a complete solution integrating data gathering, data processing and output to the final
user. In particular, we exploit existing technology to build a digital twin, we engineered our physical
model to perform simulations, and with these data, we propose our novel approach to predict areas of
higher risk.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. The SkiSlo Vision</title>
      <p>The objective of this research is to provide a tool to inform and assist the risk evaluation in competitive
skiing. SkiSlo can help assess dangerous areas along the slope, potentially assisting ski technicians in
their evaluations and enhancing athletes’ awareness.</p>
      <p>We present the tool as composed of three diferent components (depicted in Fig. 1): the Digital Twin
Builder, the Simulation module and the Risk Modelling block. Raw data are gathered and fed to the Digital
Twin Builder, which outputs a complete digital twin for the slope. The geometry of the mountain acts
as input also in the Simulation module that generates a bundle of trajectories and performs simulations
on them, obtaining a representation of the forces acting on the skier during the descent. Finally, the
outputs of the former blocks are fed into the Risk Modelling unit that highlights the most dangerous
areas of the slope.</p>
      <p>Considering that the project is still ongoing, we present the components in the order of their progress
at the time of writing. In particular, while studies regarding the Digital Twin Builder and the Simulation
module have already been carried out, the Risk Modelling block is not yet implemented. For these
reasons, we describe the first two modules in this section and the last in the discussion section 4.2.</p>
      <sec id="sec-3-1">
        <title>3.1. Mountain Digital Twin</title>
        <p>
          An accurate Digital Surface Model (DSM) is needed in order for the descent simulations to also be
accurate. Already available geometric models were considered. Models generated through satellite
imaging, as those used by Google Earth, were discarded because of the accuracy that is highly variable
and can be biased depending on the region of interest. Satellite imagery accuracy has improved over
the years, but the error magnitude remains in the meter range [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ]. Ski resort managers also have
surface models of their slopes, which are used by modern snowcats to eficiently distribute snow during
snow grooming operations. Snowcat software also has the capability of producing a geometric model
of the snow-covered slope through the interpolation of GNSS RTK data.
        </p>
        <sec id="sec-3-1-1">
          <title>3.1.1. Data Collection: Aerial Scan</title>
          <p>To have the most accurate geometric representation of the geometry and to have total control over the
data, an independent aerial scan was chosen as the Digital Surface Model data source. A first aerial scan
on the dry slope has been conducted, using both aerophotogrammetry and a LiDAR sensor to define
the site topography and the reference, bare surface. A second survey is then carried out to produce an
updated DSM of the snow-covered slope in order to calculate an accurate snow distribution profile.
Later on, it is validated against the profile generated by the snowcat software, which compares the
aforementioned dry DSM owned by the resort manager with the snowcat GNSS RTK data.</p>
        </sec>
        <sec id="sec-3-1-2">
          <title>3.1.2. Point Cloud Generation</title>
          <p>The dry scan was conducted using a DJI Matrice 300 RTK drone. Ten markers were distributed
along the ski slope in order to use them as a fixed reference for the aerophotogrammetry. Each marker
was anchored to the ground, and their positions were measured via a Leica GS14 GNSS RTK Receiver.
A high-resolution camera (DJI ZenMuseP1) was mounted on the drone and a reasonable flight altitude
has been selected. The selected flight height was 200 , resulting in a flight time of 20 minutes and a
pixel resolution of 1.2 . The selected height was a trade-of, allowing a reasonable flight time while
still maintaining the desired accuracy. More than 700 pictures were taken by the drone. The pictures
were associated by the drone flight computer itself with GNSS RTK and inertial data, which are enough
to produce a point cloud. The ground markers were still used to enhance the accuracy of the generated
point cloud. The point cloud was generated using the Agisoft Metashape PRO software. The output
point cloud is composed of 950 million points. The required computational time was 20 minutes1. The
result is presented in Fig. 3. A 12.5  accuracy was estimated by the software, but it is worth noting
that the errors were mostly in the  direction and probably due to a GNSS bias, since the closest RTK
station was located far from the site. The bias implicates all the points being shifted vertically, but this
does not afect the relative positions of the points, and thus will not result in a significant error in the
descent simulations.</p>
          <p>A second point cloud was generated using the DJI L1 Lidar senso. LiDAR imaging do not require any
ground marker. The LiDAR-generated point cloud, obtained via the DJI Terra software, is shown in
Fig 2.
1Running on a PC with the following specifications: AMD Ryzen 9 7950X3D 16-Core CPU, 192 GB DDR5 RAM, SSD M.2
NVME Gen 5</p>
          <p>
            Fig. 4 shows the comparison elaborated through the CloudCompare software. Cloud-to-cloud distances
were computed using the method proposed by [
            <xref ref-type="bibr" rid="ref21">21</xref>
            ], as implemented in CloudCompare. The two diferent
point clouds are consistent, with errors concentrated in highly vegetated zones and scan area borders.
Finally, the photogrammetry point cloud was compared to the dry point cloud used as a reference in the
snowcat computers and owned by the managers. Fig. 5 shows the distance between the clouds, denoting
an altitude shift in the point clouds, which, again, could be a GNSS bias. Further refinement is necessary
to mitigate this bias and operationalize the use of photogrammetry alongside snowcat data. Once the
Digital Surface Model (DSM) of the snow-covered slope is generated, this framework will facilitate a
comparative analysis between the calculated snow profile and the operational data used by the snowcats.
The finalized digital model should also include the snow physical properties, as discussed in
section 4.1 .
          </p>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Descent Simulations</title>
        <p>In SkiSlo, the skier is modelled as a point mass moving along a three-dimensional surface representing
the slope. Unlike complex rigid body dynamics, this particle-based approach focuses on the trajectory
and all the forces are applied at the skier’s snow interface. To accurately analyse the descent, we
establish a non-inertial local reference system attached to the moving skier. In this frame, it is possible
to decompose the acting forces relative to the direction of motion and the terrain topology.</p>
        <p>In particular, the model computes the interplay between gravitational forces, aerodynamic drag,
friction with terrain and the apparent forces resulting from the non-inertial frame of reference. A
crucial aspect of this analysis is the estimation of the efective load. The load is calculated not merely as
the perpendicular component of gravity, but as the vector sum of the gravitational normal force and
the lateral forces induced by the skier’s turning motion (centrifugal force). By accounting for the local
radius of curvature at every point along the path, the simulation determines the total force pressing the
skis against the snow, which directly influences the available friction and, consequently, the skier’s
ability to maintain control.</p>
        <p>Inputting a specific geometric trajectory on a given terrain topology the model evaluates the
parameters  (the local slope angle) and  (the local angle between the contour line and the skier’s
trajectory) and simulates the physical evolution of the descent, returning the velocity profile and the
dynamic stress experienced by the skier at any given location. By analysing these force distributions,
we can identify critical points along the slope, specifically segments where the skier is subjected to
extreme lateral accelerations or where the required friction forces exceed the physical grip of the snow,
leading to potential loss of adhesion.</p>
        <p>Although the simulation framework described above evaluates the physics of a given path, it leaves
open the problem of identifying the optimal path. The generation of these trajectories is constrained
by the physical boundaries of the slope and, in competitive scenarios like the giant slalom, by the
obligatory passage through gates.</p>
        <p>To address the challenge of trajectory identification, two distinct methodological approaches are
considered.</p>
        <p>1. Numerical Optimization: the first approach involves solving a mathematical optimization problem
aimed at minimizing the total descent time, subject to the track boundaries and physical constraints.
This method mathematically converges on an "ideal" trajectory. To create a robust dataset for analysis,
this optimal path can be perturbed by applying noise to specific control points and interpolating the
results to generate a spectrum of plausible, slightly sub-optimal trajectories. These variations provide a
diverse set of inputs for the simulation engine.</p>
        <p>2. Reinforcement Learning (RL) Agent: the second approach leverages machine learning, specifically
an agent trained on a digital twin of the slope. In this context, a Reinforcement Learning algorithm
is employed with the objective of minimizing the duration of descent. Constraints, such as staying
within track limits or passing through gates, are enforced via a reward function that heavily penalizes
violations.</p>
        <p>While an RL agent may produce sub-optimal solutions compared to pure numerical optimization,
the training process itself ofers valuable insights. Areas where the agent struggles to converge,
accumulating high negative rewards or requiring more training episodes, often correlate with the most
technically dificult or dangerous sections of the slope. This allows for a predictive analysis of risk
zones based on the agent’s learning behaviour.</p>
        <p>To overcome the computational intractability of continuous space in classical RL, the problem is
discretized. Instead of continuous steering control, the decision space is reduced to a finite set of key
interaction points, ideally located at the gates. The action space of the agent is defined by the lateral
distance from the gate pole. By selecting these passage points and interpolating between them to form a
continuous curve, the system generates a candidate trajectory which is then fed into the physics engine
to be evaluated for time and stability.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>Here we discuss possible extensions of snow analysis (section 4.1), the planned work to implement
risk prediction (section 4.2) and, finally, the limitations concerning scalability of our proposal (section
5).</p>
      <sec id="sec-4-1">
        <title>4.1. Snow Modelling</title>
        <p>
          Snow modelling is one of the most crucial steps in the project, integrating the digital surface model
with the physical model of the skier and the interaction between the two. To this aim, it is essential
to accurately model the behaviour of snow in all its properties. In recent decades, several commercial
codes have been developed to model snow, including AMUNDSEN [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ], Crocus [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ] and
SNOWPACK/Alpine3D [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ]. Created for diferent purposes (hydrogeological assessment and avalanche forecasting),
these softwares allow the snowpack content to be represented, despite significant diferences between
them.
        </p>
        <p>
          The feasibility of using Alpine3D to analyse and predict the snow’s behaviour within the slope model
was examined. Alpine3D is a three-dimensional, spatially distributed model that allows the dynamics
of the snowpack on a mountainous topography to be predicted. It involves the use of a physical model
based on mass and energy balance for a 1D soil/snow/canopy column. The meteorological conditions
at the boundary of the DSM under analysis are applied to this, and through radiation, snowdrift and
run-of balances, it allows the precise behaviour of the snowpack to be returned as output, together
with its properties, for an appreciable period of time so that our model can be useful. The software
would allow point-by-point mapping of key parameters for the output of the dynamic skier model,
including the snow friction coeficient. Specifically, according to Wolfsperger et al. [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ] the parameters
needed to evaluate the latter are:
• Penetration resistance;
• Specific surface area;
• Snow density;
• Surface snow temperature;
• Snow depth;
• Liquid water content.
        </p>
        <p>
          Despite the numerous advantages that Alpine3D possesses, among which its reliable results in several
benchmarks [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ] and being open source, the use requirements are often too elaborated for the final
users of the system (e.g. the extensive slope would require the use of at least two weather stations,
uphill and downhill, to interpolate the meteorological fields over the entire geometry), leading to high
complexity of the measurements and increasing adoption resistance. As such, we have estimated the
required variables to evaluate the friction coeficient relying upon data available in the literature. The
use of the Alpine3D software is taken into account for future developments.
        </p>
        <p>Similar constraints apply to the friction coeficient model; therefore, we have relied again on literature
values during this initial development phase.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Risk Prediction</title>
        <p>The data of the digital twin and the simulations must be elaborated to present a clear and concise
representation of the risks. Through interview of the stakeholders (skiers, team trainers, facility owners
and technicians of the sector), we discovered that the output mostly perceived as clear were heat maps
(with colours associated with diferent risk levels) and explicit suggestions on where safety nets and
escape routes are highly needed.</p>
        <p>We propose a conceptual approach (yet to be implemented) to solve the following problems:
1. Identify the points of the track where nets and escape routes are most needed
2. Numerically represent risk on a predefined scale.</p>
        <p>The modern approach to solving such problems would be the employment of supervised learning
techniques to learn the desired risk values and safety devices. Unfortunately, the complete lack of
data to create a learning dataset poses a threat, not only to the generalization capabilities of such an
algorithm, but, most importantly, jeopardizes in principle the possibility of learning from data. This is
why our proposed solution involves the exploration and comparison of diferent approaches.</p>
        <sec id="sec-4-2-1">
          <title>4.2.1. Safety devices placement</title>
          <p>To correctly identify the optimal placement areas for safety devices and to highlight the lack of escape
routes, we suggest exploiting the simulations described in section 3.2. In particular, throughout statistical
analysis, we propose to identify thresholds on the lateral force and orthogonal load that skiers can
sustain. By running simulations on the gathered data, we can identify where these thresholds would be
crossed, thus determining the points where athletes are more likely to lose adherence on the snow.
From these points, we can draw a set of possible trajectories that the skier, losing control, would go
through and thus obtain the sides of the slope from which the skier is most likely to exit the track.
Finally, exploiting geometrical analysis of the 3D model of the mountain, we can define if the subject
would encounter a steep ravine, thus suggesting higher priority for safety nets.</p>
        </sec>
        <sec id="sec-4-2-2">
          <title>4.2.2. Risk representation</title>
          <p>Representing the risk with a scale is a non-trivial problem, since we incur in the risk of under-estimating
or misrepresenting potentially fatal hazards. To prevent so we suggest to always operating, as in similar
contexts, with the most preventive scenarios.</p>
          <p>
            The aim of risk representation is thus to obtain a function  :  → ℐ parametrized in , that maps
from the set of the data , to an interval ℐ subset of the real numbers (for instance the interval [
            <xref ref-type="bibr" rid="ref1">0, 1</xref>
            ])
or of the natural numbers (for instance a scale from 1 to 10).
          </p>
          <p>The function must have inputs:
• The weather data gathered from forecasts, databases or on-site stations
• The snow’s physical properties
• The 3D geometry of the slope and in particular its gradient, this will allow us to take into account
areas of the slope where the descent is steeper and the zones where the track is less regular (we
observe them as a high frequency varying gradient)
• The results of the simulations with the corresponding evolution of the forces, allowing to analyse
points of higher stress for the athlete.</p>
          <p>The function can be either computed as a (customizable) weighted average of scores assigned to the
previous inputs or can be learned as a regression on a dataset of labelled samples from experts. We must
notice that, to remove the human bias from the training, we suggest having a large and statistically
relevant pool of ski technicians involved in the construction of this dataset.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Future research directions</title>
      <p>The preliminary data collected during experimental trials on the Kandahar slope highlights the
potentiality of the SkiSlo framework. While these results are promising, we anticipate that extended
testing and improved data processing will eventually allow us to establish a standardized risk index.
Successfully achieving this metric will mark a shift away from subjective assessment, ofering a concrete
method for accident prevention and substantially improving safety standards for skiers. To limit user
resistance, taking into consideration scalability issues is of paramount importance. Three principal
bottlenecks emerged from our analysis:
Data gathering: the collection of data might take time and resources. Ski facilities have the urge to
gather data rapidly without closing the tracks for a long time; furthermore, given the rapidly changing
nature of snow, data are considered available only for a short period. This is why we opted for using
the minimum amount of data possible. Our gathering aims to be the least intrusive by adopting drones
or already-implemented sensors on the snow groomers.</p>
      <p>Data processing: post-processing of data can be computationally demanding. We thus suggest
implementing the core of the software as an in-cloud solution, to also allow operations for users without
exceptional computing power.</p>
      <p>User presentation: interpretability of the results is a key objective of our work. Making the results
understandable also to people with less familiarity with informatics tools is essential to stimulate their
use and, consequently, obtain a tangible impact on ski safety.</p>
      <p>The discussion on this regard is still open and ongoing, and further research on the topics is encouraged.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <p>Our sincere gratitude goes to the Matilde Lorenzi Foundation that allowed this work to be produced
and the experiments to be carried out, and to Lucrezia Lorenzi and Thomas Vottero, as field experts,
who have provided key insights and suggestions on the technical aspects of skiing. We also desire to
thank prof. Tania Cerquitelli for providing her essential support to the project.</p>
    </sec>
    <sec id="sec-7">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the author(s) used Gemini and ChatGPT 4.0 exclusively to improve
the readability and language quality of the manuscript. The tools were used for proofreading and
stylistic polishing. The author(s) reviewed the output carefully and take full responsibility for the
factual accuracy and final content of the work.</p>
    </sec>
  </body>
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