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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Interactive 3D visualizations for studying combat experiences and life cycles</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Innovative Distance Learning Systems Ltd.</institution>
          ,
          <addr-line>30 Iuvileynyy Ave., Kharkiv, 61038</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Technical University “Kharkiv Polytechnic Institute”</institution>
          ,
          <addr-line>2 Kyrpychova Str., Kharkiv, 61002</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>134</fpage>
      <lpage>142</lpage>
      <abstract>
        <p>Studying the dynamics and outcomes of combat engagements is crucial for analyzing military tactics and developing practical recommendations. This article proposes using interactive 3D visualizations and an automated method for selecting rational combat scenarios to thoroughly analyze combat episodes. The approach allows reconstructing the life cycle of a battle in terms of space, time, and involved elements. Key criteria for the visualizations include information completeness and reliability, while indicators encompass the dynamics, efectiveness, and terrain of the engagement. The NATO-standard After Action Review methodology, coupled with mathematical modeling of combat using Lanchester's equations, enables pinpointing mistakes and successful tactics. The article describes visualization system design principles and outlines a phased process for gathering data, building 3D terrain models, and animating unit actions to create an accurate reconstruction. Two combat episodes from the war in Eastern Ukraine in 2015 serve as case studies. The proposed approach facilitates an in-depth analysis of actual battles and the investigation of prospective combat scenarios for diverse purposes, from education to military planning.</p>
      </abstract>
      <kwd-group>
        <kwd>After Action Review (AAR)</kwd>
        <kwd>3D visualizations</kwd>
        <kwd>combat experiences</kwd>
        <kwd>battle reconstruction</kwd>
        <kwd>military training and simulation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Studying the experience of combat engagements is vital for analyzing the actions of opposing forces,
identifying shortcomings and successes, and developing military art [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. However, open information
sources often present emotionally and politically charged accounts that lack suficient detail for a
thorough analysis [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ].
      </p>
      <p>
        Seeking to reform its Armed Forces to NATO standards, Ukraine is adopting the After Action Review
(AAR) methodology [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. A key AAR tool is interactive 3D visualization, which accurately reconstructs
the course of a battle in time and space [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. For studying past engagements and forecasting potential
scenarios, an automated method of selecting a rational combat scenario with homogeneous forces is
proposed [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>This article aims to substantiate and put forward interactive 3D visualizations for studying combat
experiences in the Joint Forces Operation in Eastern Ukraine. It discusses visualization criteria and
indicators, outlines the principles and process of creating reconstructions, and demonstrates the approach
with two case studies.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature review</title>
      <p>
        The use of After Action Reviews and 3D visualizations for analyzing combat actions has garnered
increased attention in military research and practice. Holsenbeck [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] described the mental health aspects
of the AAR process during a joint aeromedical mission in response to Hurricane Andrew. Darling et al.
[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] highlighted how the U.S. Army’s Opposing Force (OPFOR) uses rigorous AARs to generate lessons
that are fed back into the execution cycle, in contrast to the pro-forma reviews often conducted in
corporate settings.
      </p>
      <p>
        In the context of multinational operations, Conyers et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] reported on Tactical Combat Casualty
Care training provided to NATO forces at the Hamid Karzai International Airport, with AARs completed
to categorize best practices. Truesdell et al. [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] discussed an expert opinion approach to managing
cardiogenic shock, drawing parallels to elite military units’ use of AAR to combine adaptability and
cohesion.
      </p>
      <p>
        Autonomous systems have also been a focus of research. Duan et al. [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] developed a
hardware-inloop simulation platform for unmanned aerial vehicle (UAV) autonomous aerial refueling, using an
eagle-eye vision mechanism. Karthik et al. [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] proposed a GPS-less 3D inertial routing system for
multi-floor indoor positioning during urban combat operations, facilitating after action review.
      </p>
      <p>
        Regarding visualization system design, Murray [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] described an intelligent tutoring system for
commercial games, the Virtual Combat Training Center, which lowers the cost of training while exposing
trainees to the full complexities of combat. Rickard et al. [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] emphasized the need for interface standards
in Live, Virtual, and Constructive (LVC) fighter aircraft training to ensure a common configuration and
enable realistic mission debriefing.
      </p>
      <p>
        In terms of case studies, Rosenbach and Tien [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] analyzed strategic leadership in the battle of
Tal Afar, Iraq, demonstrating how Army oficers combined classic and unique aspects of leadership
to transform the war’s trajectory. Stout et al. [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] reviewed the aeromedical evacuation response to
the 1997 airplane crash in Guam, with the AAR resulting in multiple improvements to readiness and
procedures.
      </p>
      <p>These studies underscore the importance of detailed data collection, advanced modeling and
visualization, and systematic analysis for extracting lessons from combat experiences.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodology</title>
      <sec id="sec-3-1">
        <title>3.1. Visualization criteria and indicators</title>
        <p>
          The key criterion for assessing 3D visualizations is the degree of their adequacy to the actual combat
episode in terms of stages, timeline, and elements [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]. The visual information should aim to maximally
approach reality.
        </p>
        <p>Proposed criteria for the interactive 3D visualization of a battle’s life cycle include:</p>
        <sec id="sec-3-1-1">
          <title>1. Information completeness and reliability</title>
          <p>Suficient, accurate data must be gathered from multiple sources to reconstruct the battle in detail.
This includes tactical maps, unit positions, stage-by-stage descriptions, communications, and
outcomes. Contradictory or missing information should be rectified through additional research
and participant interviews.
2. Battle dynamics</p>
          <p>The visualization should capture the flow of the engagement, including unit movements, firing,
maneuvering, and changes in control over time. Dynamic elements such as explosions, smoke,
and vehicle damage enhance realism.
3. Efectiveness of combat actions</p>
          <p>Indicators of efectiveness include casualties inflicted and sustained, ground gained or lost, and
objectives achieved by each side. These can be represented visually and quantitatively.</p>
        </sec>
        <sec id="sec-3-1-2">
          <title>4. Terrain characteristics</title>
          <p>The 3D model should accurately depict the landscape, vegetation, structures, and fortifications
where the battle occurred. Line of sight, cover and concealment, and mobility corridors influence
tactics and outcomes. Geospatial anchoring aligns the virtual and real-world terrain.</p>
          <p>Measures of information content range from suficient, to partial yet adequate, partial and inadequate,
and insuficient or missing data. Analysts must carefully assess available sources and work closely with
military experts to construct a credible visualization.</p>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. After Action Review and Mathematical Modeling</title>
        <p>
          NATO’s AAR methodology focuses on evaluating the outcome of an event by answering three main
questions [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]:
1. What happened during the combat episode? This involves establishing the facts, sequence of
events, and overall outcome based on reports, interviews, and other records. An initial timeline
and narrative are constructed.
2. Why did the episode unfold in this manner? Analysts probe the causes and contributing
factors behind key decisions and actions by each side. This includes assessing the use of terrain,
maneuver, fires, leadership, and adaptability. Participant perspectives are elicited to uncover
rationale and mindset.
3. How can the outcome be improved? Insights from the preceding analysis are distilled into
lessons and recommendations to address gaps in planning, execution, and capability. These may
span doctrine, organization, training, materiel, leadership, personnel, and facilities. The emphasis
is on actionable, specific measures.
        </p>
        <p>
          Mathematical modeling of combat using Lanchester’s equations complements the AAR by quantifying
the dynamics and outcomes of engagements. Lanchester models represent attrition between two
homogeneous forces as a system of ordinary diferential equations [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ]:




= −  ()
= −  ()
(1)
where () and () are the force levels of the two sides at time , and  and  are attrition rate
coeficients representing the efectiveness of each unit against the opposing side.
        </p>
        <p>By considering diferent initial force ratios, attrition rates, and engagement termination conditions,
analysts can explore the sensitivity of outcomes to various factors. This enables quantitative evaluation
of alternate courses of action and highlights the leverage points for achieving desired results.</p>
        <p>
          Lanchester models have been extended to incorporate heterogeneous forces, spatial efects, morale,
and logistics [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ]. However, their core insight remains valuable: the relationship between attrition rates
and force ratios fundamentally shapes the dynamics of combat.
        </p>
        <p>The AAR findings can inform the selection of appropriate Lanchester model parameters to represent
a given battle. Conversely, modeling results can guide inquiry into the drivers of observed outcomes
during the AAR process. This symbiotic relationship strengthens the analytic rigor of both methods.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Visualization system design</title>
      <p>A combat visualization system typically consists of a graphics pipeline and a set of control programs
(figure 1). The pipeline involves the formation, geometric processing, and rasterization of reliable data.
Control programs handle pipeline initialization and interaction with the external environment.</p>
      <p>Key requirements for landscape visualization algorithms include minimizing central processor load
to free up resources for combat episode modeling. Techniques such as discarding invisible terrain
Modeled battle
episode state
Interaction
interface with modeled
battle episode
Preliminary
visualization</p>
      <p>Storage of current
battle episode</p>
      <p>description
Preparation of
battle episode
objects for display</p>
      <p>Optimization
of intelligence
data flow</p>
      <p>Geometric
processing stage
Rasterization stage</p>
      <p>
        Battle episode
image
sections and reducing detalization of distant areas help to optimize performance. The use of regular
or irregular grid-based methods, like Fast Terrain Rendering Using Geometrical MipMapping [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] or
Thatcher Ulrich’s Chunked LOD [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], is common.
      </p>
      <p>Several principles guide the design of an efective combat visualization system:
• Modularity: The system should consist of loosely coupled components with well-defined
interfaces. This allows for iterative development, testing, and extension of individual modules without
disrupting the overall architecture.
• Scalability: The visualization framework needs to accommodate scenarios of varying size and
complexity, from small unit actions to large scale operations. Techniques such as level-of-detail
rendering and adaptive scheduling can help maintain interactive performance.
• Interoperability: The system must interface with a range of data sources, combat simulations, and
command and control systems. Adherence to standards such as Distributed Interactive Simulation
(DIS) and High Level Architecture (HLA) promotes integration with existing and future military
systems.
• User-centricity: The user interface should be intuitive and tailored to the needs of diferent
stakeholders, such as commanders, analysts, and trainees. Customizable views, query tools, and
playback controls enable users to efectively explore and manipulate the visualization.
• Extensibility: The design should allow for the integration of new types of data, entities, and
behaviors as modeling and simulation capabilities advance. This may include support for
higherifdelity physics, artificial intelligence, and virtual/augmented reality technologies.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Visualization process</title>
      <p>
        Creating an interactive 3D visualization of a combat episode involves several stages [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]:
1. Gathering and analyzing information from various sources to reconstruct the battle in
suficient detail. This includes tactical maps, operations orders, unit positions, communications
logs, imagery, after action reports, and participant interviews. A systematic data collection plan
helps ensure completeness and identifies gaps requiring further research.
2. Building a 3D model of the terrain using a digital elevation model and overlaying relevant
features such as vegetation, roads, rivers, bridges, buildings, and fortifications.
Highresolution remote sensing data, maps, and site surveys contribute to an accurate environmental
representation. Terrain analysis tools can derive mobility corridors, intervisibility lines, and
avenues of approach.
3. Placing 3D models of personnel, vehicles, and equipment according to their initial
positions on the tactical map. Models may be based on standard military assets or specifically
designed to match unique features observed in the battle. Attention to details such as unit
markings, camouflage patterns, and weathering adds realism.
4. Animating the actions of each entity over the course of the battle based on the collected
data. This includes movement along routes, changes in formation, deployment of forces, firing of
weapons, detonation of ordnance, and incapacitation or destruction of assets. Timing of actions
is synchronized with the battle narrative to reflect the dynamism of combat.
5. Integrating additional elements to enhance the immersion and information content of
the visualization. These may include audio recordings of commands and radio trafic, video
clips from cameras or unmanned systems, graphical overlays showing unit boundaries and phase
lines, and data displays of ammunition expenditure, casualties, and system status.
6. Rendering the complete visualization and packaging it for interactive display on various
platforms. Users can control the viewpoint, playback speed, and information layers to suit their
analytic needs. The visualization becomes a key artifact supporting the AAR process, enabling
participants to review the battle from multiple perspectives.
      </p>
      <p>
        As a concrete example, the Interactive 3D Visualization Constructor software suite, developed at
the National Technical University “Kharkiv Polytechnic Institute”, was employed to reconstruct two
combat episodes from the war in Eastern Ukraine [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ].
      </p>
      <p>For each case, data was first collected from open sources, tactical maps, and surveys of participants.
3D terrain was built from digital elevation models, and features such as trees, roads, and buildings
were added based on overhead imagery. 3D models of Ukrainian and Russian equipment, such as tanks,
infantry fighting vehicles, and anti-tank guided missile systems, were placed at their initial locations.</p>
      <p>The movement of each vehicle and unit was animated over time based on the battle records.
Engagements, artillery strikes, and destruction of assets were recreated, with special efects like explosions,
smoke, and flying debris. Sounds of gunfire and radio communications were layered over the visual
scene.</p>
      <p>The resulting visualizations were rendered and packaged for viewing on desktop and mobile devices.
Users could freely move the camera to observe the action from any angle, pause and resume the playback,
and toggle information overlays showing unit positions, engagement ranges, and kill counts.</p>
      <p>These interactive 3D visualizations supported detailed AAR sessions with the participants and
military students. By virtually stepping through the battles, reviewers could identify decisive moments,
discuss the rationale behind decisions, and assess the application of tactics, techniques and procedures.
Alternative actions could be explored by manipulating the visualization, fostering counterfactual
reasoning.</p>
      <p>Beyond AAR, the visualizations served as case studies for professional military education, exposing
students to the complexity and chaos of modern combat. By studying the battles from multiple
viewpoints, learners developed an appreciation for the challenges faced by commanders and the
importance of factors such as terrain, timing, and coordination.</p>
      <p>The 3D visualizations were also used to brief senior leaders on the operational situation and outcomes.
The realistic and immersive nature of the presentations facilitated understanding and communication
of the battles’ significance.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Case studies</title>
      <p>
        The previously described methodology was applied to reconstruct two combat episodes from the war
in Eastern Ukraine [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]:
• The defense of the “Seroga” strongpoint near Sanzharivka by Ukrainian mechanized and tank
units on January 28, 2015.
• The assault on Logvinove by Ukrainian mechanized and tank units on February 12, 2015.
      </p>
      <sec id="sec-6-1">
        <title>6.1. Defense of the “Seroga” strongpoint</title>
        <p>The first case study examines the defense of the “Seroga” strongpoint by elements of a Ukrainian
mechanized brigade against a Russian-backed separatist assault on January 28, 2015. The strongpoint,
located near the village of Sanzharivka in Donetsk Oblast, consisted of a company-sized force equipped
with T-64 tanks, BMP-2 infantry fighting vehicles (IFVs), and 82mm mortars.</p>
        <p>At approximately 0400 hours, the separatists launched an attack on the strongpoint with a
battalionsized force, supported by artillery and multiple launch rocket systems (MLRS). The initial assault was
repelled by direct fire from the Ukrainian tanks and IFVs, which inflicted heavy casualties on the
advancing infantry and disabled several enemy vehicles.</p>
        <p>However, the separatists regrouped and commenced a sustained bombardment of the Ukrainian
positions with 122mm howitzers and 120mm mortars. This fire destroyed several Ukrainian vehicles
and forced the defenders to seek cover in their trenches and bunkers. Under the cover of this fire, the
separatists maneuvered a company of tanks and IFVs around the Ukrainian right flank, threatening to
cut of their withdrawal.</p>
        <p>Recognizing the danger, the Ukrainian commander ordered a fighting withdrawal to a secondary
defensive position 2 km to the rear. The Ukrainian tanks provided covering fire while the IFVs and
dismounted infantry conducted a bounding overwatch movement to the fallback position. Despite
taking additional casualties from enemy fire, the Ukrainians successfully disengaged and occupied their
new defenses by 0900 hours.</p>
        <p>The visualization of this battle was created using the Interactive 3D Visualization Constructor
software. Tactical maps and overhead imagery were used to build a detailed 3D terrain model of the
strongpoint and surrounding area, including the village, fields, roads, and treelines. 3D models of the
Ukrainian T-64 tanks, BMP-2 IFVs, trucks, and 82mm mortars were placed at their initial positions
based on the commander’s sketch and participant interviews. Separatist T-72 tanks, BMP-1 IFVs, and
MLRS were similarly modeled and positioned.</p>
        <p>The movement of each vehicle was animated based on the tactical map and narrative of the battle.
Key events such as the initial assault, artillery strikes, flank attack, and withdrawal were visualized
with appropriate efects and sounds. The user could view the battle from any angle, including from the
perspective of individual vehicles or commanders, and pause the action to examine the situation in
detail.</p>
        <p>The AAR of this battle identified several key lessons:
• The importance of well-prepared defensive positions and interlocking fields of fire in repelling an
attack by a numerically superior force. The Ukrainian tanks and IFVs were able to inflict heavy
casualties on the separatists due to their dug-in positions and coordinated fire plan.
• The decisive role of artillery and MLRS in suppressing defensive positions and enabling maneuver.</p>
        <p>The separatists’ concentrated and sustained bombardment forced the Ukrainians to seek cover
and degraded their ability to repel the flank attack.
• The value of a timely and organized withdrawal in the face of an overwhelming attack. By
displacing to a secondary position before becoming decisively engaged, the Ukrainian commander
preserved his force and avoided encirclement.
• The criticality of situational awareness and rapid decision-making in a dynamic battle. The
Ukrainian commander had to quickly assess the situation, anticipate enemy actions, and issue
clear orders to his subordinates to maintain cohesion and efectiveness.</p>
        <p>These lessons were incorporated into subsequent training and doctrine for Ukrainian mechanized
units. The 3D visualization became a valuable tool for educating new commanders and soldiers on the
realities of high-intensity combat against a sophisticated opponent.</p>
      </sec>
      <sec id="sec-6-2">
        <title>6.2. Assault on Logvinove</title>
        <p>The second case study focuses on the Ukrainian assault to retake the village of Logvinove from separatist
forces on February 12, 2015. Logvinove, located along the strategic Debaltseve-Artemivsk highway in
Donetsk Oblast, had been captured by the separatists two days prior, cutting of the main supply route
to Ukrainian forces defending the Debaltseve salient.</p>
        <p>The Ukrainian command mobilized a tank company and a mechanized infantry company to assault
Logvinove and reopen the highway. The tanks, a mix of T-64BVs and T-64BMs, were tasked with leading
the attack and destroying enemy armor, while the mechanized infantry in BMP-2s would clear the
village and secure the flanks.</p>
        <p>At 1000 hours, the Ukrainian force departed its assembly area and began advancing towards Logvinove
along the highway. Approximately 1 km from the village, the lead tanks came under fire from separatist
T-72s and anti-tank guided missiles (ATGMs) positioned on the high ground to the north. Two Ukrainian
tanks were quickly disabled, forcing the remainder to seek cover and engage the enemy armor at standof
range.</p>
        <p>As the tank battle unfolded, the Ukrainian mechanized infantry dismounted and began clearing the
outlying buildings of Logvinove. They immediately came under heavy small arms and RPG fire from
separatist infantry occupying prepared positions in the village. The fighting devolved into a brutal
close-quarters battle, with the Ukrainians using grenades and armored vehicle support to dislodge the
defenders house by house.</p>
        <p>By 1400 hours, the Ukrainians had cleared the southern half of Logvinove and advanced to the
center of the village. However, they were unable to progress further due to well-coordinated separatist
resistance and the threat of encirclement. Running low on ammunition and fuel, and with night falling,
the Ukrainian commander ordered a withdrawal to avoid becoming decisively engaged. The assault
had failed to completely clear Logvinove or reopen the highway.</p>
        <p>To visualize this battle, the terrain team built a highly detailed 3D model of Logvinove and the
surrounding area using tactical maps, UAV imagery, and photographs. Particular attention was paid
to modeling the buildings, streets, and defensive positions in the village. 3D models of the Ukrainian
T-64 tanks and BMP-2s, as well as the separatist T-72s, ATGMs, and infantry were created and placed at
their starting locations.</p>
        <p>The assault was animated in phases, showing the initial Ukrainian advance, separatist ambush, tank
battle, village clearance, and withdrawal. Cameras were placed in the turrets of the tanks and BMP-2s to
give the viewer a sense of the limited visibility and situational awareness of the vehicle crews. Sounds
of tank and small arms fire, RPG launches, and radio communications were synced with the action to
create an immersive experience.</p>
        <p>The AAR of the Logvinove assault surfaced several important lessons:
• The dificulty of attacking a well-defended urban area without significant numerical superiority
and combined arms support. The separatists’ interlocking fields of fire, prepared positions, and
coordinated resistance stymied the Ukrainian advance and inflicted heavy casualties.
• The vulnerability of armor to ATGMs in complex terrain. The separatist Konkurs and Fagot
ATGMs, positioned on high ground flanking the approach to Logvinove, quickly knocked out
several Ukrainian tanks and forced the remainder to seek cover, disrupting the momentum of the
assault.
• The importance of reconnaissance and intelligence preparation of the battlefield (IPB) prior
to an attack. The Ukrainians lacked detailed information on the separatist positions, strength,
and dispositions in Logvinove, leading to an underestimation of the defense and a piecemeal
commitment of forces.
• The challenge of sustaining an assault without robust logistics and force rotation. The Ukrainian
attack faltered in part due to the exhaustion of ammunition and fuel, and the inability to replace
personnel and vehicle losses, as the battle progressed.</p>
        <p>These hard-won insights were applied to refine Ukrainian urban warfare tactics, adjust force
compositions and task organizations, and improve the planning and execution of future ofensive operations.
The Logvinove visualization became a cautionary case study, illustrating the complex dynamics of
combat in built-up areas against a determined and well-equipped enemy.</p>
        <p>Both the Sanzharivka and Logvinove case studies demonstrate the power of interactive 3D
visualization to reconstruct and analyze complex combat episodes. By creating an immersive and data-driven
representation of the battle space, these visualizations enable military professionals to explore the
multidimensional factors that shape the course of engagements, from the decisions of individual commanders
to the efects of weapon systems and terrain.</p>
        <p>Moreover, by subjecting the visualizations to structured AAR processes, practitioners can derive
actionable lessons learned and identify best practices for future operations. The integration of 3D
visualization with established analytic frameworks like AAR creates a potent tool for military learning
and adaptation.</p>
        <p>As the fidelity and sophistication of modeling and simulation technologies advance, the potential
applications of interactive 3D visualization in the military domain will only expand. From mission
planning and rehearsal to after-action review and training, immersive visualizations will play an
increasingly central role in preparing armed forces for the challenges of 21st century warfare.</p>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusion</title>
      <p>Interactive 3D visualization, coupled with AAR methodology and mathematical combat modeling,
provides a powerful tool for analyzing past combat episodes and testing prospective scenarios. The
proposed approach enables an accurate reconstruction of battles in space and time, helping to identify
mistakes and successful tactics.</p>
      <p>The case studies of the Sanzharivka strongpoint defense and Logvinove assault demonstrate the
value of 3D visualization in understanding the complex dynamics of modern combat. By collecting
and integrating data from multiple sources, modeling the terrain and units in detail, and animating
the flow of the battle, these visualizations create an immersive and data-driven representation of the
engagement.</p>
      <p>Subjecting the visualizations to structured AAR processes enables military professionals to explore
the key factors that shape the outcomes of battles, from decisions and maneuvers to the efects of
weapon systems and terrain. By deriving lessons learned and best practices, practitioners can adapt
tactics, techniques, and procedures for future operations.</p>
      <p>The methodology presented in this article can benefit a wide range of military applications, from
mission planning and rehearsal to education and training. Future research may further explore the
integration of 3D visualization with other analytic methods and data sources, such as combat logs,
equipment sensors, and participant interviews. The development of automated tools for data ingestion,
entity behavior modeling, and scenario generation could streamline the visualization process and allow
for more rapid and flexible analysis.</p>
      <p>The use of virtual and augmented reality technologies may also enhance the immersion and
interactivity of combat visualizations, enabling users to more naturally explore and manipulate the battle
space. Collaborative visualization environments could allow geographically distributed teams to jointly
analyze and discuss combat episodes, facilitating shared understanding and decision-making.</p>
    </sec>
  </body>
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