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42 pages, 9592 KiB  
Article
Air Route Network Planning Method of Urban Low-Altitude Logistics UAV with Double-Layer Structure
by Zhuolun Li, Shan Li, Jian Lu and Sixi Wang
Drones 2025, 9(3), 193; https://doi.org/10.3390/drones9030193 - 6 Mar 2025
Abstract
With the rapid development of e-commerce, logistics UAVs (unmanned aerial vehicles) have shown great potential in the field of urban logistics. However, the large-scale operation of logistics UAVs has brought challenges to air traffic management, and the competitiveness of UAV logistics is still [...] Read more.
With the rapid development of e-commerce, logistics UAVs (unmanned aerial vehicles) have shown great potential in the field of urban logistics. However, the large-scale operation of logistics UAVs has brought challenges to air traffic management, and the competitiveness of UAV logistics is still weak compared with traditional ground logistics. Therefore, this paper constructs a double-layer route network structure that separates logistics transshipment from terminal delivery. In the delivery layer, a door-to-door distribution mode is adopted, and the transshipment node service location model is constructed, so as to obtain the location of the transshipment node and the service relationship. In the transshipment layer, the index of the route betweenness standard deviation (BSD) is introduced to construct the route network planning model. In order to solve the above model, a double-layer algorithm was designed. In the upper layer, the multi-objective simulated annealing algorithm (MOSA) is used to solve the transshipment node service location issue, and in the lower layer, the multi-objective non-dominated sorting genetic algorithm II (NSGA-II) is adopted to solve the network planning model. Based on real obstacle data and the demand situation, the double-layer network was constructed through simulation experiments. To verify the network rationality, actual flights were carried out on some routes, and it was found that the gap between the UAV’s autonomous flight route time and the theoretical calculations was relatively small. The simulation results show that compared with the single-layer network, the total distance with the double-layer network was reduced by 62.5% and the structural intersection was reduced by 96.9%. Compared with the minimum spanning tree (MST) algorithm, the total task flight distance obtained with the NSGA-II was reduced by 42.4%. The BSD factors can mitigate potential congestion risks. The route network proposed in this paper can effectively reduce the number of intersections and make the UAV passing volume more balanced. Full article
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<p>Schematic diagram of layered network architecture.</p>
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<p>The logic of the delivery process.</p>
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<p>Rasterization of airspace.</p>
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<p>Topological connectivity and microstructure of air routes.</p>
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<p>Double-layer air route network.</p>
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<p>Route intersection type. (<b>a</b>) Functional intersection. (<b>b</b>) Structural intersection.</p>
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<p>Algorithm implementation framework.</p>
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<p>MOSA individual coding.</p>
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<p>Population and chromosome.</p>
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<p>Offspring generation flow.</p>
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<p>The route network planning environment and foundation. (<b>a</b>) Site analysis. (<b>b</b>) Network planning foundation.</p>
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<p>Three-dimensional layout of the final route network.</p>
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<p>The results of transshipment node service location in the upper model. (<b>a</b>) Transshipment node location. (<b>b</b>) The Pareto frontier.</p>
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<p>The final route network structure. (<b>a</b>) Route connection relationship. (<b>b</b>) Network topology comparison.</p>
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<p>The Pareto front of the lower model.</p>
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<p>Flight duration from different supply nodes to each demand node. (<b>a</b>) Average flight duration. (<b>b</b>) Composition of flight duration to demand nodes from supply node 1. (<b>c</b>) Composition of flight duration to demand nodes from supply node 2.</p>
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<p>Relationship between route betweenness and total UAV passing volume.</p>
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<p>Flight scenarios.</p>
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<p>Some routes.</p>
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<p>Comparative results.</p>
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<p>Route network comparison.</p>
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<p>Comparison of the structural intersection distribution.</p>
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<p>Comparison of flight duration. (<b>a</b>) Flight duration from supply node 1 to each demand node. (<b>b</b>) Flight duration from supply node 2 to each demand node.</p>
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<p>Comparison of the total UAV passing volumes.</p>
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<p>Sensitivity analysis.</p>
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34 pages, 17954 KiB  
Article
Unmanned Aerial Vehicle Path Planning Method Based on Improved Dung Beetle Optimization Algorithm
by Fengjun Lv, Yongbo Jian, Kai Yuan and Yubin Lu
Symmetry 2025, 17(3), 367; https://doi.org/10.3390/sym17030367 - 28 Feb 2025
Viewed by 238
Abstract
To address the problem of UAV path planning in complex mountainous terrains, this paper comprehensively considers constraints such as natural mountain and obstacle collision threats, the shortest path, and flight altitude. We propose a more practical UAV path planning model that better reflects [...] Read more.
To address the problem of UAV path planning in complex mountainous terrains, this paper comprehensively considers constraints such as natural mountain and obstacle collision threats, the shortest path, and flight altitude. We propose a more practical UAV path planning model that better reflects the actual UAV path planning situation in complex mountainous areas. In order to solve this model, this paper improves the traditional dung beetle optimization (DBO) algorithm and proposes an improved dung beetle optimization (IDBO) algorithm. The IDBO algorithm optimizes the population initialization method based on the concept of symmetry, ensuring that the population is more evenly distributed within the solution space. Additionally, the algorithm introduces a sine–cosine function-based movement strategy, inspired by the symmetry principle, to enhance the search efficiency of individual population members. Furthermore, a population evolution strategy is incorporated to prevent the algorithm from getting stuck in local optima. To demonstrate the algorithm’s performance, tests were conducted using 23 commonly used benchmark functions provided by the CEC 2005 competition and six commonly used engineering problem models provided by the CEC 2020 competition. The results indicate that IDBO significantly outperforms DBO in terms of convergence performance, effectively solving various engineering optimization problems. Finally, experimental tests under three different threat scenarios show that the proposed IDBO algorithm has scientific validity when applied to UAV path planning. This solution method effectively reduces UAV flight energy consumption costs and obstacle collision threats while improving the efficiency and accuracy of UAV path planning. Full article
(This article belongs to the Special Issue Symmetry in Mathematical Optimization Algorithm and Its Applications)
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<p>Three-dimensional terrain map.</p>
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<p>Planar projection of obstacle threat area.</p>
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<p>Comparison of population initialization effects.</p>
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<p>Diagram of the rolling dung beetle population evolution.</p>
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<p>Flowchart of the improved dung beetle optimization algorithm.</p>
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<p>Convergence trend of unimodal test functions: (<b>a</b>) Sphere Function, (<b>b</b>) Schwefel’s Problem 2.22, (<b>c</b>) Schwefel’s Problem 1.2, (<b>d</b>) Schwefel’s Problem 2.21, (<b>e</b>) Generalized Rosenbrock’s Function, (<b>f</b>) Step Function.</p>
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<p>Convergence trend of multimodal test functions: (<b>a</b>) Generalized Schwefel’s Problem 2.26, (<b>b</b>) Generalized Rastrigin’s Function, (<b>c</b>) Ackley’s Function, (<b>d</b>) Generalized Griewank’s Function, (<b>e</b>) Generalized Penalized Function 1, (<b>f</b>) Generalized Penalized Function 2.</p>
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<p>Convergence trend of composite benchmark test functions: (<b>a</b>) Shekel’s Foxholes Function, (<b>b</b>) Kowalik’s Function, (<b>c</b>) Six-Hump Camel-Back Function, (<b>d</b>) Branin Function, (<b>e</b>) Goldstein–Price Function, (<b>f</b>) Hartman’s Family, (<b>g</b>) Hartman’s Family 2, (<b>h</b>) Shekel’s Family 1, (<b>i</b>) Shekel’s Family 2, and (<b>j</b>) Shekel’s Family 3.</p>
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<p>Convergence trends of CEC 2020 models: (<b>a</b>) Shifted and Rotated Bent Cigar Function, (<b>b</b>) Shifted and Rotated Lunacek bi-Rastrigin Function, (<b>c</b>) Expanded Rosenbrock’s plus Griewangk’s Function, (<b>d</b>) Composition Function 1, (<b>e</b>) Composition Function 2, (<b>f</b>) Composition Function 3.</p>
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<p>Convergence trends of CEC 2020 models: (<b>a</b>) Shifted and Rotated Bent Cigar Function, (<b>b</b>) Shifted and Rotated Lunacek bi-Rastrigin Function, (<b>c</b>) Expanded Rosenbrock’s plus Griewangk’s Function, (<b>d</b>) Composition Function 1, (<b>e</b>) Composition Function 2, (<b>f</b>) Composition Function 3.</p>
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<p>Experimental scene 1.</p>
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<p>Experimental scene 2.</p>
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<p>Experimental scene 3.</p>
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<p>Experiment 1—algorithm iteration chart.</p>
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<p>Experiment 1—UAV path 3D view. (<b>a</b>) 3D view—overall, (<b>b</b>) 3D view—MVO, (<b>c</b>) 3D view—ALO, (<b>d</b>) 3D view—WOA, (<b>e</b>) 3D view—DBO, (<b>f</b>) 3D view—IDBO.</p>
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<p>Experiment 1—UAV path 3D view. (<b>a</b>) 3D view—overall, (<b>b</b>) 3D view—MVO, (<b>c</b>) 3D view—ALO, (<b>d</b>) 3D view—WOA, (<b>e</b>) 3D view—DBO, (<b>f</b>) 3D view—IDBO.</p>
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<p>Experiment 1—UAV path top-down view. (<b>a</b>) Top-down view—overall, (<b>b</b>) top-down view—MVO, (<b>c</b>) top-down view—ALO, (<b>d</b>) top-down view—WOA, (<b>e</b>) top-down view—DBO, (<b>f</b>) top-down view—IDBO.</p>
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<p>Experiment 1—UAV path top-down view. (<b>a</b>) Top-down view—overall, (<b>b</b>) top-down view—MVO, (<b>c</b>) top-down view—ALO, (<b>d</b>) top-down view—WOA, (<b>e</b>) top-down view—DBO, (<b>f</b>) top-down view—IDBO.</p>
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<p>Experiment 1—UAV path side view.</p>
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<p>Experiment 2—algorithm iteration chart.</p>
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<p>Experiment 2—UAV path 3D view. (<b>a</b>) 3D view—overall, (<b>b</b>) 3D view—MVO, (<b>c</b>) 3D view—ALO, (<b>d</b>) 3D view—WOA, (<b>e</b>) 3D view—DBO (<b>f</b>) 3D view—IDBO.</p>
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<p>Experiment 2—UAV path 3D view. (<b>a</b>) 3D view—overall, (<b>b</b>) 3D view—MVO, (<b>c</b>) 3D view—ALO, (<b>d</b>) 3D view—WOA, (<b>e</b>) 3D view—DBO (<b>f</b>) 3D view—IDBO.</p>
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<p>Experiment 2—UAV path top-down view. (<b>a</b>) Top-down view—overall, (<b>b</b>) top-down view—MVO, (<b>c</b>) top-down view—ALO, (<b>d</b>) top-down view—WOA, (<b>e</b>) top-down view—DBO, (<b>f</b>) top-down view—IDBO.</p>
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<p>Experiment 2—UAV path top-down view. (<b>a</b>) Top-down view—overall, (<b>b</b>) top-down view—MVO, (<b>c</b>) top-down view—ALO, (<b>d</b>) top-down view—WOA, (<b>e</b>) top-down view—DBO, (<b>f</b>) top-down view—IDBO.</p>
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<p>Experiment 2—UAV path side view.</p>
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<p>Experiment 3—algorithm iteration chart.</p>
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<p>Experiment 3—UAV path 3D view. (<b>a</b>) 3D view—overall, (<b>b</b>) 3D view—MVO, (<b>c</b>) 3D view—ALO, (<b>d</b>) 3D view—WOA, (<b>e</b>) 3D view—DBO, (<b>f</b>) 3D view—IDBO.</p>
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<p>Experiment 3—UAV path 3D view. (<b>a</b>) 3D view—overall, (<b>b</b>) 3D view—MVO, (<b>c</b>) 3D view—ALO, (<b>d</b>) 3D view—WOA, (<b>e</b>) 3D view—DBO, (<b>f</b>) 3D view—IDBO.</p>
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<p>Experiment 3—UAV path top-down view. (<b>a</b>) Top-down view—overall, (<b>b</b>) top-down view—MVO, (<b>c</b>) top-down view—ALO, (<b>d</b>) top-down view—WOA, (<b>e</b>) top-down view—DBO, (<b>f</b>) top-down view—IDBO.</p>
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<p>Experiment 3—UAV path top-down view. (<b>a</b>) Top-down view—overall, (<b>b</b>) top-down view—MVO, (<b>c</b>) top-down view—ALO, (<b>d</b>) top-down view—WOA, (<b>e</b>) top-down view—DBO, (<b>f</b>) top-down view—IDBO.</p>
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<p>Experiment 3—UAV path side view.</p>
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9 pages, 875 KiB  
Proceeding Paper
Research on Real-Time Mission Planning for Multi-UAV
by Jingzhi Bi, Wei Huang and Maihui Cui
Eng. Proc. 2024, 80(1), 37; https://doi.org/10.3390/engproc2024080037 - 28 Feb 2025
Viewed by 84
Abstract
With the wide application of UAVs in various industries, solving the complex multi-UAV multi-target problem becomes crucial. The assignment and task planning of multi-UAV and multi-target usually need to consider two scenarios. First, before the UAV executes the task, the number and location [...] Read more.
With the wide application of UAVs in various industries, solving the complex multi-UAV multi-target problem becomes crucial. The assignment and task planning of multi-UAV and multi-target usually need to consider two scenarios. First, before the UAV executes the task, the number and location of the target points need to be determined. It is equivalent to matching UAVs in a situation where the need is determined. Second, in the process of UAV flight, it is necessary to take into account the existing range of the UAV, the number and position of the changed mission points and carry out real-time UAV mission planning. This paper presents a multi-UAV multi-target collaborative task planning algorithm that takes into account these two scenarios. An integer programming algorithm is used to assign target points, and the constraint condition is the shortest range of UAV. The ant colony algorithm is used to plan the path of a single UAV. In this paper, the UAV delivery of disaster relief materials is taken as an example to carry out mathematical modeling and calculate the algorithm. The simulation process starts from the initial location of the UAV at the airport. After a period of flight, the UAV’s voyage information and target location information are updated to carry out real-time mission planning for the UAV. The maximum range of a single UAV is set at 30,000. The simulation results show that the total path length of four UAVs in pre-mission planning is 70,006.49, and the longest path of a single UAVs is 20645.15. In real-time mission planning, the total path length of four UAVs is 43,633.44, and the longest path of a single UAVs is 14,413.56. Over the course of the entire mission, the total path length of the four UAVs is 54,504.00, and the longest path of a single UAV is 16,434.74. The simulation results show that the solution method designed in this paper is efficient and can realize the real-time path dynamic planning of multi-UAV. Full article
(This article belongs to the Proceedings of 2nd International Conference on Green Aviation (ICGA 2024))
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<p>Location distribution of airports and target points.</p>
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<p>Path planning diagram of prior task planning.</p>
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<p>Path planning diagram of real-time task planning.</p>
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<p>Path planning diagram of randomly assigned target points.</p>
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27 pages, 7548 KiB  
Article
An Improved Crayfish Optimization Algorithm: Enhanced Search Efficiency and Application to UAV Path Planning
by Qinyuan Huang, Yuqi Sun, Chengyang Kang, Chen Fan, Xiuchen Liang and Fei Sun
Symmetry 2025, 17(3), 356; https://doi.org/10.3390/sym17030356 - 26 Feb 2025
Viewed by 157
Abstract
The resolution of the unmanned aerial vehicle (UAV) path-planning problem frequently leverages optimization algorithms as a foundational approach. Among these, the recently proposed crayfish optimization algorithm (COA) has garnered significant attention as a promising and noteworthy alternative. Nevertheless, COA’s search efficiency tends to [...] Read more.
The resolution of the unmanned aerial vehicle (UAV) path-planning problem frequently leverages optimization algorithms as a foundational approach. Among these, the recently proposed crayfish optimization algorithm (COA) has garnered significant attention as a promising and noteworthy alternative. Nevertheless, COA’s search efficiency tends to diminish in the later stages of the optimization process, making it prone to premature convergence into local optima. To address this limitation, an improved COA (ICOA) is proposed. To enhance the quality of the initial individuals and ensure greater population diversity, the improved algorithm utilizes chaotic mapping in conjunction with a stochastic inverse learning strategy to generate the initial population. This modification aims to broaden the exploration scope into higher-quality search regions, enhancing the algorithm’s resilience against local optima entrapment and significantly boosting its convergence effectiveness. Additionally, a nonlinear control parameter is incorporated to enhance the algorithm’s adaptivity. Simultaneously, a Cauchy variation strategy is applied to the population’s optimal individuals, strengthening the algorithm’s ability to overcome stagnation. ICOA’s performance is evaluated by employing the IEEE CEC2017 benchmark function for testing purposes. Comparison results reveal that ICOA outperforms other algorithms in terms of optimization efficacy, especially when applied to complex spatial configurations and real-world problem-solving scenarios. The proposed algorithm is ultimately employed in UAV path planning, with its performance tested across a range of terrain obstacle models. The findings confirm that ICOA excels in searching for paths that achieve safe obstacle avoidance and lower trajectory costs. Its search accuracy is notably superior to that of the comparative algorithms, underscoring its robustness and efficiency. ICOA ensures the balanced exploration and exploitation of the search space, which are particularly crucial for optimizing UAV path planning in environments with symmetrical and asymmetrical constraints. Full article
(This article belongs to the Section Engineering and Materials)
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<p>Crayfish-inspired optimization strategy.</p>
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<p>Flow chart of the improved crayfish optimization algorithm.</p>
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<p>Convergence curve analysis of the reference function within a two-dimensional framework.</p>
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<p>Convergence curve analysis of the reference function within a 30-dimensional framework.</p>
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<p>The UAV path-planning results derived from different algorithms: (<b>a</b>) convergence curves, (<b>b</b>) 3D planning routes, and (<b>c</b>) planning performance.</p>
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32 pages, 10642 KiB  
Article
Dynamic Camera Planning for Robot-Integrated Manufacturing Processes Using a UAV
by Marius Boshoff, Bernd Kuhlenkötter and Paul Koslowski
Robotics 2025, 14(3), 23; https://doi.org/10.3390/robotics14030023 - 21 Feb 2025
Viewed by 287
Abstract
The optimal viewpoint for monitoring robotic production processes is crucial for maintenance, inspection, and error handling, especially in large-scale production facilities, as it maximizes visual information. This paper presents a method for dynamic camera planning using an Unmanned Aerial Vehicle (UAV), enabling collision-free [...] Read more.
The optimal viewpoint for monitoring robotic production processes is crucial for maintenance, inspection, and error handling, especially in large-scale production facilities, as it maximizes visual information. This paper presents a method for dynamic camera planning using an Unmanned Aerial Vehicle (UAV), enabling collision-free operation and measurable, high perspective coverage for a user-defined Region of Interest (ROI). Therefore, optimal viewpoints are searched with a greedy search algorithm and a decision for the optimal viewpoint is derived. The method is implemented within a simulation framework in Unity and evaluated in a robotic palletizing application. Results show that the use of a UAV as dynamic camera achieves up to twice the perspective coverage during continuous flight compared to the current capabilities of static cameras. Full article
(This article belongs to the Section Sensors and Control in Robotics)
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<p>Looking from (<b>a</b>) the perspective of a static camera installed at the fence, (<b>b</b>) a semi-static camera attached at the robot’s moving joint, (<b>c</b>) a typical hand-eye camera, and (<b>d</b>) the UAV’s perspective.</p>
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<p>Definition of object collider and safety sphere in the Unity scene.</p>
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<p>Camera frustum of the UAV and the NCP, ROI, and FCP in it. The corners <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>c</mi> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> of the ROI are projected onto the NCP and named <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>c</mi> </mrow> <mo>¯</mo> </mover> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> in here.</p>
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<p>Distortion of the projection of the ROI on the NCP when the viewpoint is moved in the vertical direction. The projected area <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>A</mi> </mrow> <mrow> <mi>p</mi> <mi>r</mi> <mi>o</mi> <mi>j</mi> </mrow> </msub> </mrow> </semantics></math> thereby scales with the distortion, which is a well-known effect in 3D projections.</p>
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<p>Relationship between the angle <math display="inline"><semantics> <mrow> <mi>φ</mi> </mrow> </semantics></math>, the target point <math display="inline"><semantics> <mrow> <mi>p</mi> </mrow> </semantics></math>, the <math display="inline"><semantics> <mrow> <mi>F</mi> <mi>O</mi> <mi>V</mi> </mrow> </semantics></math>, and the position of the ROI. If <math display="inline"><semantics> <mrow> <mi>φ</mi> <mo>&lt;</mo> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mrow> <mi>F</mi> <mi>O</mi> <mi>V</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mstyle> </mrow> </semantics></math>, the viewpoint <math display="inline"><semantics> <mrow> <mi>p</mi> </mrow> </semantics></math> is in sight, and vice versa, the ROI is fully visible from the viewpoint.</p>
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<p>Search procedure for finding the optimal viewpoint <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mi>o</mi> <mi>p</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> with the hill climber algorithm. Within the green frame are the termination criteria, which end the current cycle of the algorithm if true.</p>
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<p>Global minimum and maximum value for <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math>. The ROI is visualized as a black plane. The blue spheres represent the global maximum, and the pink spheres are the global minimum for <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math>. Shifting the sphere color from green to red indicates a rising value for <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math>.</p>
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<p>Starting points for the search procedure, colorized in their later formation.</p>
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<p>The shortest path around the ROI safety sphere with waypoints highlighted as single spheres. In (<b>a</b>), the shortest path is calculated on the XZ plane, which transforms the y-value of all points to zero. In (<b>b</b>), the waypoints are rotated back to the original rotation of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mi>s</mi> <mi>t</mi> <mi>a</mi> <mi>r</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mi>e</mi> <mi>n</mi> <mi>d</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Calculation of the tangential points <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math> in the two-dimensional <math display="inline"><semantics> <mrow> <mi>X</mi> <mi>Z</mi> </mrow> </semantics></math> plane to calculate the circular path points and the tangential vectors. <math display="inline"><semantics> <mrow> <mi>M</mi> </mrow> </semantics></math> is the center of the Thales circle, where <math display="inline"><semantics> <mrow> <mi>R</mi> </mrow> </semantics></math> is the center of the safety sphere.</p>
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<p>The UAV maintains a safe position above the robot, ensuring a collision-free path to the viewpoints that represent the local maxima of perspective coverage along the optical axis of the ROI.</p>
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<p>Collider in the robot cell. (<b>a</b>) Shows the side view, (<b>b</b>) is the top-down view. The transparent orange box colliders stand for colliders in the scene. Purple capsule colliders surround the robot’s joints, and the sphere collider stands for the ROI’s safety sphere. The colliders do not block the view for the UAV.</p>
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<p>In (<b>a</b>), screenshot of the UI for monitoring the scene and controlling the UAV. The paths to the available viewpoints are highlighted in their respective colors, as shown for the purple target here. The path of the TCP is highlighted in yellow, and the UAV movement path is presented in white. (<b>b</b>) Shows the perspective from the UAV’s camera.</p>
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<p>Position of the four static cameras in the scene numbered from 1 to 4. In the bottom right corner, the view from camera 2 is presented.</p>
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<p>Comparison of the perspective coverage of the UAV and the static cameras in the scene. The aggregated coverage is the highest perspective coverage of the viewpoint in the respective color of the timeline and, thereby, describes the highest coverage under the given constraints. The timeline below highlights the current viewpoint offering maximum perspective coverage over time.</p>
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<p>The score of the current optimal viewpoint and the average score for the respective segments. Underneath is a line diagram displaying the color of the optimal viewpoint.</p>
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<p>Welding application simulated in Unity (<b>a</b>) and ABB RobotStudio (<b>b</b>). The simulation in (<b>a</b>) shows the UAV’s movement path as a white line. In (<b>b</b>), the robot’s movement path is highlighted in yellow, and numbers visualize the sequence of contact points and the desired ROI’s rotation in the path segment.</p>
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<p>Perspective coverage of the UAV and the static cameras in the welding application.</p>
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<p>Visualization of the score. Frequent changes of the optimal viewpoint can be seen in the bottom timeline. Black segments represent flights to the safe position, as there are no viewpoints available.</p>
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<p>Recorded score, perspective coverage, and distance of the UAV from each viewpoint. The colors of the lines represent the color of the respective viewpoint, visible in <a href="#robotics-14-00023-f008" class="html-fig">Figure 8</a>. Each viewpoint search procedure starts from a different starting point around the ROI and offers a different score, perspective coverage or distance. The current state of the UAV is shown below.</p>
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25 pages, 12528 KiB  
Article
Mission Re-Planning of Reusable Launch Vehicles Under Throttling Fault in the Recovery Flight Based on Controllable Set Analysis and a Deep Neural Network
by Keshu Li, Wanqing Zhang, Han Yuan, Jing Zhou and Ying Ma
Aerospace 2025, 12(3), 166; https://doi.org/10.3390/aerospace12030166 - 20 Feb 2025
Viewed by 195
Abstract
The frequent launches of reusable launch vehicles are currently the primary approach to support large-scale space transportation, necessitating high reliability in recovery flights. This paper proposes a mission re-planning scheme to address throttling faults, which significantly affect the feasibility of powered landing. To [...] Read more.
The frequent launches of reusable launch vehicles are currently the primary approach to support large-scale space transportation, necessitating high reliability in recovery flights. This paper proposes a mission re-planning scheme to address throttling faults, which significantly affect the feasibility of powered landing. To quantify the influence of throttling capability, the concept of “controllable set (CS)” is introduced. The CS is defined as the collection of all feasible initial states that can achieve a successful powered landing and is computed using polyhedron approximation and convex optimization. Based on the CS, the physical feasibility of a power landing problem under deviations from the nominal conditions can be evaluated probabilistically. Besides, a deep neural network (DNN) is constructed to enhance the computational efficiency of the CS analysis, thereby meeting the requirements for online applications. Finally, an effective re-planning scheme is proposed to deal with throttling faults in recovery flight. This is achieved by adjusting the designed angle of attack during the endo-atmosphere unpowered descent phase and selecting the associated optimal handover conditions to initiate the powered landing. The optimal re-planning parameters are determined through a comprehensive investigation of the design space, leveraging probability-based CS analysis and computationally efficient DNN predictions. Simulations verify the accuracy of the CS computation algorithm and the effectiveness of the re-planning scheme under different fault conditions. The results indicate high feasibility probabilities of 99.97%, 98.12%, and 78.52% for maximum throttling capabilities at 65%, 75%, and 85% of nominal thrust magnitude, respectively. Full article
(This article belongs to the Section Astronautics & Space Science)
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<p>Schematic diagram of the LP coordinate system.</p>
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<p>The expression of the controllable subsets. (<b>a</b>) Schematic diagram of the position controllable subset; (<b>b</b>) schematic diagram of the velocity controllable subset.</p>
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<p>The schematic diagram of the polyhedron approximation method. (<b>a</b>) The precise boundary of a convex region; (<b>b</b>) the first polyhedron approximation; (<b>c</b>) the second polyhedron approximation; (<b>d</b>) the next polyhedron approximation.</p>
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<p>A typical initial polyhedron of the longitudinal position controllable subset.</p>
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<p>The determination of the physical feasibility of the powered landing problem. (<b>a</b>) Case-1: neither the nominal position nor the nominal velocity is within its respective controllable subset; (<b>b</b>) Case-2: only the nominal position falls within its controllable subset; (<b>c</b>) Case-3: only the nominal velocity falls within its controllable subset; (<b>d</b>) Case-4: both the nominal position and the nominal velocity fall within their respective controllable subsets.</p>
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<p>Analysis of the longitudinal position controllable subset under uncertainty. (<b>a</b>) Standard position, controllable subset, and 3<span class="html-italic">σ</span> boundary; (<b>b</b>) standard trajectory, controllable subsets, and 3<span class="html-italic">σ</span> boundaries.</p>
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<p>The schematic diagram of the throttling fault scenario. (<b>a</b>) Throttling fault scenario for longitudinal position; (<b>b</b>) throttling fault scenario for longitudinal velocity.</p>
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<p>The schematic diagram of the re-planning result. (<b>a</b>) Re-planning result for longitudinal position; (<b>b</b>) re-planning result for longitudinal velocity.</p>
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<p>Comparison of the feasibility probabilities for longitudinal position. (<b>a</b>) Probability after throttling fault without re-planning; (<b>b</b>) probability after throttling fault with re-planning.</p>
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<p>Comparison of the feasibility probabilities for longitudinal velocity. (<b>a</b>) Probability after throttling fault without re-planning; (<b>b</b>) probability after throttling fault with re-planning.</p>
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<p>The schematic structure of the DNN. The blue circles represent the input nodes, the green circles represent the out put nodes, and the yellow circles represent the nodes in hidden layers.</p>
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<p>The training process of the DNN.</p>
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<p>The evaluation of re-planning results based on the DNN.</p>
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<p>The accuracy of the position controllable subset. (<b>a</b>) The distribution of the MCS samples; (<b>b</b>) statistics of the feasibility misjudgment.</p>
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<p>The accuracy of the velocity controllable subset. (<b>a</b>) The distribution of the MCS samples; (<b>b</b>) statistics of the feasibility misjudgment.</p>
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<p>The CS analysis under different throttling faults. (<b>a</b>) The position controllable subset analysis; (<b>b</b>) the velocity controllable subset analysis.</p>
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<p>Mission re-planning under a throttling fault with a maximal throttling capability of 65% of the nominal thrust magnitude. (<b>a</b>) The probability-based analysis; (<b>b</b>) the performance of the re-planning solution.</p>
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<p>Mission re-planning under a throttling fault with a maximal throttling capability of 75% of the nominal thrust magnitude. (<b>a</b>) The probability-based analysis; (<b>b</b>) the performance of the re-planning solution.</p>
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<p>Mission re-planning under a throttling fault with a maximal throttling capability of 85% of the nominal thrust magnitude. (<b>a</b>) The probability-based analysis; (<b>b</b>) the performance of the re-planning solution.</p>
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24 pages, 14086 KiB  
Article
Seismic Data Acquisition Utilizing a Group of UAVs
by Artem Timoshenko, Grigoriy Yashin, Valerii Serpiva, Rustam Hamadov, Dmitry Fedotov, Mariia Kartashova and Pavel Golikov
Drones 2025, 9(3), 156; https://doi.org/10.3390/drones9030156 - 20 Feb 2025
Viewed by 323
Abstract
Seismic exploration in hard-to-reach hazardous environments like deserts is a very expensive and time-consuming process that involves a lot of human resources and equipment. These difficulties can be overcome with the implementation of robots, providing flexible mission design, safe operation, and high precision [...] Read more.
Seismic exploration in hard-to-reach hazardous environments like deserts is a very expensive and time-consuming process that involves a lot of human resources and equipment. These difficulties can be overcome with the implementation of robots, providing flexible mission design, safe operation, and high precision data acquisition. This work presents an autonomous robotic system to assist seismic crews in advanced data acquisition for near-surface characterization, shallow cavity detection, and acquisition grid infill. The developed system consists of a swarm control station and a swarm of unmanned aerial vehicles (UAVs) equipped with seismic sensors. The architecture of the swarm control station, its individual blocks, features of UAV exploitation for seismic data acquisition tasks, hardware and software tool limitations are considered. Algorithms for planning UAV swarm flight paths, their comparison and trajectory examples are presented. Experiments utilizing 9 and 16 UAVs to record 171 and 144 target points, respectively, in harsh desert conditions are described. The results demonstrate the feasibility of the proposed system for seismic data acquisition. The developed robotic system offers flexibility in seismic survey design and planning, enabling efficient coverage of vast areas and facilitating comprehensive data acquisition, which enhances the accuracy and resolution of subsurface seismic imaging. Full article
(This article belongs to the Special Issue Resilient Networking and Task Allocation for Drone Swarms)
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<p>Group of 20 ASADs on an autonomous mission under the control of FPCS.</p>
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<p>Photo of system setup for test with 9 ASADs.</p>
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<p>System general architecture.</p>
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<p>FPCS architecture.</p>
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<p>Visualization of the generated trajectories for 4 × 4 ASAD formation, where the trajectory of each ASAD is shown in an individual color and the red dots are target points: (<b>a</b>) trajectories for whole seismic exploration zone; (<b>b</b>) trajectories for one recording area.</p>
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<p>Mission schedule of the seismic data acquisition by 9 ASADs.</p>
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<p>Comparison of the trajectories for 9 ASADs, generated by different path-planning algorithms: (<b>a</b>) CHOMP; (<b>b</b>) A*; (<b>c</b>) APF.</p>
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<p>The layout of ASAD.</p>
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<p>The block diagram of the electronics in ASAD.</p>
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<p>The FPCS application diagnostics table for 20 ASADs.</p>
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<p>Hit Recording Module: (<b>a</b>) photo; (<b>b</b>) software layout of the Hit Recording Module.</p>
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<p>General representation of the seismic data acquisition using a group of UAVs.</p>
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<p>Block diagram of the software interaction of the ASAD system.</p>
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<p>Scheme of the field experiment setup with 3 × 3 ASAD formation.</p>
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<p>Placement of 9 ASADs near station #2 on top of an array of 9 geophones.</p>
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<p>Mission pre-plan for test with 9 ASADs.</p>
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<p>Recorded traces at first recording area: (<b>a</b>) array of ASADs and (<b>b</b>) conventional recording line.</p>
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<p>Common shot gather recorded by (<b>a</b>) array of ASADs and (<b>b</b>) conventional recording line.</p>
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<p>Amplitude spectra for ASAD (green) and geophone (blue) traces.</p>
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<p>Scheme of the field experiment setup with 4 × 4 ASAD formation.</p>
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<p>Origin setup for test with 4 × 4 ASAD formation.</p>
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<p>Mission preplan for test with 16 ASADs.</p>
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<p>SNR attribute computed for the actual recording locations.</p>
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16 pages, 1250 KiB  
Article
Bird Collisions with an Unmarked Extra-High Voltage Transmission Line in an Average Riverine Landscape: An Appeal to Take a Closer Look
by Arno Reinhardt, Moritz Mercker, Maike Sabel, Kristina Henningsen and Frank Bernshausen
Birds 2025, 6(1), 13; https://doi.org/10.3390/birds6010013 - 19 Feb 2025
Viewed by 152
Abstract
Anthropogenic structures such as overhead powerlines pose potentially high collision risks to flying animals, particularly birds, leading to millions of fatalities each year. Studies of bird collisions with powerlines to date, however, have estimated different numbers of collision per year and per kilometer [...] Read more.
Anthropogenic structures such as overhead powerlines pose potentially high collision risks to flying animals, particularly birds, leading to millions of fatalities each year. Studies of bird collisions with powerlines to date, however, have estimated different numbers of collision per year and per kilometer in highly variable landscapes. This study aimed to clarify the risk of bird collisions with powerlines in an average landscape, to overcome the bias towards studies in collision hotspots. We conducted experiments to determine searcher efficiency, removal, and decomposition rates of collided birds as well as searching for collision victims and recording flight movements and flight reactions towards the powerlines. Annual bird-strike rates and flight phenology were analyzed using generalized additive models (GAMs). We estimated 50.1 collision victims per powerline kilometer per year and demonstrated that pigeons (especially Wood Pigeon, Columba palumbus) accounted for the largest proportion of collision victims (approximately 65%). Our study thus offers the opportunity to estimate the number of bird collisions (and the range of species) that can be expected in areas that are not particularly rich in bird life or sensitive, especially in view of the planned intensive expansion of energy structures in the context of the green energy transition. Full article
(This article belongs to the Special Issue Bird Mortality Caused by Power Lines)
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<p>Location of the investigated powerline section (red line), location and numbering of the powerline pylons (orange dots) and observation points for flight movements (yellow dots). Purple shaded area: special area of conservation (SAC); dark green shaded area: nature reserve (NR); light green shaded area: landscape conservation area (LCA). Data source for background map: OpenGeodata.NRW (2024), Datenlizenz Deutschland-Zero-Version 2.0. Data source: <a href="http://dcat-ap.de/def/licenses/dl-zero-de/2.0" target="_blank">http://dcat-ap.de/def/licenses/dl-zero-de/2.0</a> (accessed on 20 March 2024), Data source for protected areas: OpenGeodata.NRW (2022), Datenlizenz Deutschland-Zero-Version 2.0. Data source: <a href="http://dcat-ap.de/def/licenses/dl-zero-de/2.0" target="_blank">http://dcat-ap.de/def/licenses/dl-zero-de/2.0</a> (accessed on 23 August 2022).</p>
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<p>Schematic representation of transects (blue lines) used to record collision victims in the field. The thin red line shows the axis of the powerline, the dashed red line the outer boundary of the study area, and the grey dot an example pylon center.</p>
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<p>Annual phenology of relative number of corrected carcasses (red line) vs. crossing birds (blue line). Both measures were scaled to the same height for better visualization (i.e., divided by respective mean value and are thus unitless), and the <span class="html-italic">y</span>-axis therefore cannot be interpreted in absolute values and only relative changes along the <span class="html-italic">x</span>-axis are important. Curves based on GAM regressions; colored shaded areas indicate 95% confidence intervals. <span class="html-italic">X</span>-axis: Julian day (continuous count of days starting from 1 January).</p>
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<p>Proportions of different species among (corrected) collision victims. Wood/Street Pigeon indicates that the carcasses could not be distinguished between the two species.</p>
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<p>Number of carcasses per search run, depending on time of year. Grey dots: (corrected) carcass numbers per survey; red line: generalized additive model-based estimation of average carcass numbers per search (regression spline with 5 nodes); red shaded areas: 95% confidence intervals; <span class="html-italic">x</span>-axis: Julian day (continuous count of days starting from 1 January).</p>
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27 pages, 2843 KiB  
Article
GRU-Based Deep Learning Framework for Real-Time, Accurate, and Scalable UAV Trajectory Prediction
by Seungwon Yoon, Dahyun Jang, Hyewon Yoon, Taewon Park and Kyuchul Lee
Drones 2025, 9(2), 142; https://doi.org/10.3390/drones9020142 - 14 Feb 2025
Viewed by 492
Abstract
Trajectory prediction is critical for ensuring the safety, reliability, and scalability of Unmanned Aerial Vehicle (UAV) in urban environments. Despite advances in deep learning, existing methods often struggle with dynamic UAV conditions, such as rapid directional changes and limited forecasting horizons, while lacking [...] Read more.
Trajectory prediction is critical for ensuring the safety, reliability, and scalability of Unmanned Aerial Vehicle (UAV) in urban environments. Despite advances in deep learning, existing methods often struggle with dynamic UAV conditions, such as rapid directional changes and limited forecasting horizons, while lacking comprehensive real-time validation and generalization capabilities. This study addresses these challenges by proposing a gated recurrent unit (GRU)-based deep learning framework optimized through Look_Back and Forward_Length labeling to capture complex temporal patterns. The model demonstrated state-of-the-art performance, surpassing existing unmanned aerial vehicles (UAV) and aircraft trajectory prediction approaches, including FlightBERT++, in terms of both accuracy and robustness. It achieved reliable long-range predictions up to 4 s, and its real-time feasibility was validated due to its efficient resource utilization. The model’s generalization capability was confirmed through evaluations on two independent UAV datasets, where it consistently predicted unseen trajectories with high accuracy. These findings highlight the model’s ability to handle rapid maneuvers, extend prediction horizons, and generalize across platforms. This work establishes a robust trajectory prediction framework with practical applications in collision avoidance, mission planning, and anti-drone systems, paving the way for safer and more scalable UAV operations. Full article
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<p>Overall workflow of the proposed real-time UAV trajectory prediction framework. The raw flight data (<math display="inline"><semantics> <mi>x</mi> </semantics></math>, <math display="inline"><semantics> <mi>y</mi> </semantics></math>, <math display="inline"><semantics> <mi>z</mi> </semantics></math>) are segmented into training and testing sets using the Look_Back and Forward_Length parameters, generating input–label pairs. A GRU-based deep learning model then processes each time sequence, and its outputs are used for near-real-time prediction of future UAV positions (<math display="inline"><semantics> <mover accent="true"> <mi>x</mi> <mo>^</mo> </mover> </semantics></math>, <math display="inline"><semantics> <mover accent="true"> <mi>y</mi> <mo>^</mo> </mover> </semantics></math>, <math display="inline"><semantics> <mover accent="true"> <mi>z</mi> <mo>^</mo> </mover> </semantics></math>).</p>
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<p>Fotokite MAV used for data collection in the Zurich Urban Micro Aerial Vehicle (UMAV) Dataset. This tethered UAV is equipped with a GoPro Hero 4 camera and supports stable low-altitude flight (5–15 m) with continuous power supply for up to 45 min. Image source: Fotokite (<a href="http://www.fotokite.com" target="_blank">www.fotokite.com</a>), accessed on 5 February 2025.</p>
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<p>Labeling scheme for constructing the UAV trajectory prediction model, based on Look_Back and Forward_Length. Each flight log is segmented into overlapping windows: a Look_Back portion provides recent history, and the single future point at <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>+</mo> <mi>F</mi> </mrow> </semantics></math> serves as the label (or predicted coordinate). On the training side, these windows produce labeled samples, while the testing side enables inference of unseen trajectories.</p>
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<p>(<b>a</b>) Comparison of trajectories predicted with five deep learning models (Bi-LSTM, Bi-GRU, RNN, LSTM, and GRU) and the actual trajectory in a 3D space. (<b>b</b>) Comparison of the GRU model’s predicted trajectory with the actual trajectory, illustrating its superior alignment and accuracy with respect to challenging UAV flight paths characterized by frequent direction changes.</p>
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<p>Internal structure of a Gated Recurrent Unit (GRU) cell. The update gate (<math display="inline"><semantics> <mrow> <msub> <mi>z</mi> <mi>t</mi> </msub> </mrow> </semantics></math>) determines how much past information (<math display="inline"><semantics> <mrow> <msub> <mi>h</mi> <mrow> <mi>t</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math>) is kept, while the reset gate (<math display="inline"><semantics> <mrow> <msub> <mi>r</mi> <mi>t</mi> </msub> </mrow> </semantics></math>) selectively resets the old state. A tanh function then forms a candidate hidden state <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>h</mi> <mo stretchy="false">˜</mo> </mover> <mi>t</mi> </msub> </mrow> </semantics></math>, and the final state <math display="inline"><semantics> <mrow> <msub> <mi>h</mi> <mi>t</mi> </msub> </mrow> </semantics></math> blends <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>h</mi> <mo stretchy="false">˜</mo> </mover> <mi>t</mi> </msub> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <msub> <mi>h</mi> <mrow> <mi>t</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math>. This gating mechanism enables rapid adaptation to sudden flight changes, making GRUs well-suited for UAV trajectory prediction.</p>
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<p>Predicted vs. actual trajectories on the Synthetic UAV Flight Trajectories dataset, consisting of 251 data points per trajectory. The visualization highlights our model’s ability to closely follow pre-defined paths with high accuracy under synthetic conditions.</p>
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<p>Predicted vs. actual trajectories on the Package Delivery Quadcopter Drone dataset, consisting of 2856 data points per trajectory. The visualization demonstrates our model’s adaptability to dynamic real-world flight paths with varying payloads and environmental conditions.</p>
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16 pages, 4058 KiB  
Article
Autonomous Mission Planning for Fixed-Wing Unmanned Aerial Vehicles in Multiscenario Reconnaissance
by Bei Chen, Jiaxin Yan, Zebo Zhou, Rui Lai and Jiejian Lin
Sensors 2025, 25(4), 1176; https://doi.org/10.3390/s25041176 - 14 Feb 2025
Viewed by 352
Abstract
Before a fixed-wing UAV executes target tracking missions, it is essential to identify targets through reconnaissance mission areas using onboard payloads. This paper presents an autonomous mission planning method designed for such reconnaissance operations, enabling effective target identification prior to tracking. Existing planning [...] Read more.
Before a fixed-wing UAV executes target tracking missions, it is essential to identify targets through reconnaissance mission areas using onboard payloads. This paper presents an autonomous mission planning method designed for such reconnaissance operations, enabling effective target identification prior to tracking. Existing planning methods primarily focus on flight performance, energy consumption, and obstacle avoidance, with less attention to integrating payload. Our proposed method emphasizes the combination of two key functions: flight path planning and payload mission planning. In terms of path planning, we introduce a method based on the Hierarchical Traveling Salesman Problem (HTSP), which utilizes the nearest neighbor algorithm to find the optimal visit sequence and entry points for area targets. When dealing with area targets containing no-fly zones, HTSP quickly calculates a set of waypoints required for coverage path planning (CPP) based on the Generalized Traveling Salesman Problem (GTSP), ensuring thorough and effective reconnaissance coverage. In terms of payload mission planning, our proposed method fully considers payload characteristics such as scan resolution, imaging width, and operating modes to generate predefined mission instruction sets. By meticulously analyzing payload constraints, we further optimized the path planning results, ensuring that each instruction meets the payload performance requirements. Finally, simulations validated the effectiveness and superiority of the proposed autonomous mission planning method in reconnaissance tasks. Full article
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<p>Computational workflow for UAV payload mission planning.</p>
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<p>Visualization of the visibility graph algorithm for UAV obstacle avoidance. The algorithm identifies potential intersections between the planned path segment <math display="inline"><semantics> <mover> <mrow> <msub> <mi mathvariant="bold">p</mi> <mi>i</mi> </msub> <msub> <mi mathvariant="bold">p</mi> <mi>j</mi> </msub> </mrow> <mo>¯</mo> </mover> </semantics></math>, represented by the red line segment, and obstacle polygons. Obstacles are expanded by a buffer distance <math display="inline"><semantics> <msub> <mi>d</mi> <mi>buffer</mi> </msub> </semantics></math> to ensure safety, and alternate paths, such as through <math display="inline"><semantics> <msubsup> <mi mathvariant="bold">p</mi> <mrow> <mi>avoid</mi> </mrow> <mi>k</mi> </msubsup> </semantics></math>, are generated to bypass obstacles, as illustrated by the green line.</p>
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<p>UI for autonomous mission planning module.</p>
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<p>Area target with no-fly zones and its Boustrophedon Cell Decomposition. (<b>a</b>) An area target with no-fly zones. (<b>b</b>) Boustrophedon Cell Decomposition of an area target with no-fly zones.The area target is decomposed into 6 cells without no-fly zones, marked from 0 to 6 respectively. (<b>c</b>) Results of coverage path planning with an area target.</p>
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<p>Planning map.</p>
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<p>Planning results of autonomous mission planning module.</p>
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<p>Path planning analysis, visibility graph-based obstacle avoidance, and payload power instruction output. (<b>a</b>) Path planning for different target scenarios, illustrating the planned waypoint set under varying conditions. (<b>b</b>) Visibility graph-based obstacle avoidance, demonstrating the generated path that navigates around no-fly zones and obstacles. (<b>c</b>) The output of payload power instructions, showing the power-on and work instructions of the payload during the mission. (<b>a</b>) Path planning for different targets. (<b>b</b>) Visibility graph-based obstacle avoidance for path planning. (<b>c</b>) The output of payload power instructions.</p>
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<p>Comparison of algorithm execution times under three different test datasets. The results demonstrate that the computation time is within 0.5 s. (<b>a</b>) Time consumption results of the first set of test data. (<b>b</b>) Time consumption results of the second set of test data. (<b>c</b>) Time consumption results of the third set of test data.</p>
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24 pages, 650 KiB  
Article
UAV-BS Site Planning Based on Circular Coverage Strategy
by Jingshuai Zhang, Zhaoxiao Tang, Xinyi Liu, Yujie Shen and Yongxing Zheng
Appl. Sci. 2025, 15(4), 1971; https://doi.org/10.3390/app15041971 - 13 Feb 2025
Viewed by 425
Abstract
Future mobile communication technology will be used to build an integrated global coverage network. Unmanned aerial vehicles (UAVs) are the first choice for low-altitude networks due to their low cost, flexibility, and ease of operation. The characteristics of UAVs also bring new challenges [...] Read more.
Future mobile communication technology will be used to build an integrated global coverage network. Unmanned aerial vehicles (UAVs) are the first choice for low-altitude networks due to their low cost, flexibility, and ease of operation. The characteristics of UAVs also bring new challenges to communication networks, such as short flight time, complex networking, and unstable communication quality. Therefore, it has become an urgent problem to reasonably plan the location of UAV Base Stations (UAV-BSs), reduce communication power consumption, optimize network performance, and build an efficient and stable UAV communication network (UAVCN). The traditional strategy only pays attention to the signal coverage, and ignores the influence of system transmission power on the network, which reduces the performance of the communication system. In this study, a circular coverage power optimization strategy (CCPO) based on system transmit power is proposed. The mathematical model of the circular coverage problem is used to describe the full coverage process of the UAV base station to ground users, and the deployment optimization is carried out with the goal of minimizing system transmit power, so as to obtain an efficient and reliable site planning scheme. In this paper, the binomial power function is used to continuously fit the discrete solution of the circle covering problem, and the circle covering power optimization formula is rearranged. By analyzing the convexity of the objective function under the circular coverage model, the convex optimization theory is used to solve the objective problem, and the optimal deployment number of UAVs and site planning scheme under the circular coverage power optimization strategy are given. Simulation verifies the superiority of the proposed method. Compared with the traditional hexagon strategy and the minimum power loss strategy, the circular coverage power optimization station location planning strategy can save 14.75% and 6.52% of power resources, providing a valuable reference for the design and optimization of UAV communication systems. It provides a promising solution for further improving the performance and efficiency of UAVCNs. Full article
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<p>Single stream data queuing system model.</p>
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<p>(<b>a</b>) is the CPP diagram when <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>19</mn> </mrow> </semantics></math>. (<b>b</b>) is the CCP diagram when <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math>.</p>
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<p>UAV-BS site planning diagram when the radius of the target area is 1000 m.</p>
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<p>UAV-BS site planning diagram when the radius of the target area is 1000 m.</p>
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<p>The influence of attenuation index on the transmitted power of the system.</p>
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<p>(<b>a</b>) Impact of the radius of the target area on the deployment scheme. (<b>b</b>) Impact of the target area radius on the deployment solution (local).</p>
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<p>The influence of attenuation index on the transmitted power of the system.</p>
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<p>Schematic diagram of traditional hexagon covering method.</p>
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27 pages, 10700 KiB  
Article
Rice Yield Prediction Using Spectral and Textural Indices Derived from UAV Imagery and Machine Learning Models in Lambayeque, Peru
by Javier Quille-Mamani, Lia Ramos-Fernández, José Huanuqueño-Murillo, David Quispe-Tito, Lena Cruz-Villacorta, Edwin Pino-Vargas, Lisveth Flores del Pino, Elizabeth Heros-Aguilar and Luis Ángel Ruiz
Remote Sens. 2025, 17(4), 632; https://doi.org/10.3390/rs17040632 - 12 Feb 2025
Viewed by 685
Abstract
Predicting rice yield accurately is crucial for enhancing farming practices and securing food supplies. This research aims to estimate rice yield in Peru’s Lambayeque region by utilizing spectral and textural indices derived from unmanned aerial vehicle (UAV) imagery, which offers a cost-effective alternative [...] Read more.
Predicting rice yield accurately is crucial for enhancing farming practices and securing food supplies. This research aims to estimate rice yield in Peru’s Lambayeque region by utilizing spectral and textural indices derived from unmanned aerial vehicle (UAV) imagery, which offers a cost-effective alternative to traditional approaches. UAV data collection in commercial areas involved seven flights in 2022 and ten in 2023, focusing on key growth stages such as flowering, milk, and dough, each showing significant predictive capability. Vegetation indices like NDVI, SP, DVI, NDRE, GNDVI, and EVI2, along with textural features from the gray-level co-occurrence matrix (GLCM) such as ENE, ENT, COR, IDM, CON, SA, and VAR, were combined to form a comprehensive dataset for model training. Among the machine learning models tested, including Multiple Linear Regression (MLR), Support Vector Machines (SVR), and Random Forest (RF), MLR demonstrated high reliability for annual data with an R2 of 0.69 during the flowering and milk stages, and an R2 of 0.78 for the dough stage in 2022. The RF model excelled in the combined analysis of 2022–2023 data, achieving an R2 of 0.58 for the dough stage, all confirmed through cross-validation. Integrating spectral and textural data from UAV imagery enhances early yield prediction, aiding precision agriculture and informed decision-making in rice management. These results emphasize the need to incorporate climate variables to refine predictions under diverse environmental conditions, offering a scalable solution to improve agricultural management and market planning. Full article
(This article belongs to the Special Issue Perspectives of Remote Sensing for Precision Agriculture)
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Graphical abstract

Graphical abstract
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<p>Study area: (<b>a</b>) geographical location of Peru; (<b>b</b>) Lambayeque region; and (<b>c</b>) commercial zones: Caballito, García, Santa Julia, Totora, and Zapote.</p>
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<p>Meteorological variables recorded during the rice growing season in 2022 and 2023: (<b>a</b>) maximum temperature (°C), minimum temperature (°C), and precipitation (mm); (<b>b</b>) relative humidity (%) and wind speed (m s<sup>−1</sup>). These data were collected at the automatic weather station of INIA-Vista Florida.</p>
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<p>(<b>a</b>) Flights carried out in the commercial areas; (<b>b</b>) phenology of the Capoteña variety according to days post sowing (DPS).</p>
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<p>Flow diagram of the methodology followed in this study.</p>
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<p>Flight platform and sensors. (<b>a</b>) DJI Matric 300 RTK, (<b>b</b>) Micasense RedEdge-MX multispectral sensor, and (<b>c</b>) Parrot Sequoia multispectral sensor, together with their respective calibration panels.</p>
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<p>Rice yield data in tons per hectare (t ha<sup>−1</sup>) in commercial fields of Ferreñafe for the years 2022 and 2023.</p>
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<p>Coefficient of determination (R<sup>2</sup>) of vegetation indices (VIs) and textural indices (TIs) in relation to measured rice yield during phenological stages. (<b>a</b>) Number of plots evaluated for each phenological stage in 2022 and 2023. (<b>b</b>) Distribution of R<sup>2</sup> values across phenological stages for 2022 and 2023.</p>
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<p>The optimal results from Sequential Feature Selection for Multiple Linear Regression (MLR) and Support Vector Regression (SVR) models using vegetation indices (VIs), texture indices (TIs), and their combination (VIs + TIs) across the flowering (<b>a</b>,<b>d</b>,<b>g</b>), milk (<b>b</b>,<b>e</b>,<b>h</b>), and dough (<b>c</b>,<b>f</b>,<b>i</b>) stages for the years 2022 (<b>a</b>–<b>c</b>), 2023 (<b>d</b>–<b>f</b>), and the combined period of 2022–2023 (<b>g</b>–<b>i</b>).</p>
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<p>Predicted versus measured grain yield for Multiple Linear Regression (MLR) and Support Vector Regression (SVR) models using vegetation indices (VIs), texture indices (TIs), and their combination (VIs + TIs) across the flowering (<b>a</b>,<b>d</b>,<b>g</b>), milk (<b>b</b>,<b>e</b>,<b>h</b>), and dough (<b>c</b>,<b>f</b>,<b>i</b>) stages for the years 2022 (<b>a</b>–<b>c</b>), 2023 (<b>d</b>–<b>f</b>), and the combined period 2022–2023 (<b>g</b>–<b>i</b>).</p>
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<p>Random Forest (RF) model for rice yield estimation during the flowering stage (2022–2023) using vegetation (VIs) and textural indices (TIs): (<b>a</b>) out-of-bag error (OOB), (<b>b</b>) variable selection via LOOCV (RMSE), and (<b>c</b>) predictor importance.</p>
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<p>Random Forest (RF) model for rice yield estimation during the milk stage (2022–2023) using vegetation (VIs) and textural indices (TIs): (<b>a</b>) out-of-bag error (OOB), (<b>b</b>) variable selection via LOOCV (RMSE), and (<b>c</b>) predictor importance.</p>
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<p>Random Forest (RF) model for rice yield estimation during the dough stage (2022–2023) using vegetation (VIs) and textural indices (TIs): (<b>a</b>) out-of-bag error (OOB), (<b>b</b>) variable selection via LOOCV (RMSE), and (<b>c</b>) predictor importance.</p>
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<p>Predicted versus measured grain yield for Random Forest (RF) models using vegetation indices (VIs), texture indices (TIs), and their combination (VIs + TIs) across the flowering (<b>a</b>,<b>d</b>,<b>g</b>), milk (<b>b</b>,<b>e</b>,<b>h</b>), and dough (<b>c</b>,<b>f</b>,<b>i</b>) stages for the years 2022 (<b>a</b>–<b>c</b>), 2023 (<b>d</b>–<b>f</b>), and the combined period 2022–2023 (<b>g</b>–<b>i</b>).</p>
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15 pages, 11775 KiB  
Article
Drone Path Planning for Bridge Substructure Inspection Considering GNSS Signal Shadowing
by Phillip Kim and Junhee Youn
Drones 2025, 9(2), 124; https://doi.org/10.3390/drones9020124 - 9 Feb 2025
Viewed by 466
Abstract
Drones are useful tools for performing tasks that are difficult for humans. Thus, they are being increasingly utilized in various fields. In smart construction, a range of methods, including robots and drones, has been proposed to inspect facilities and other similar structures. Global [...] Read more.
Drones are useful tools for performing tasks that are difficult for humans. Thus, they are being increasingly utilized in various fields. In smart construction, a range of methods, including robots and drones, has been proposed to inspect facilities and other similar structures. Global navigation satellite system (GNSS) shadowing can occur when large bridge substructures, which are difficult for humans to access, are inspected using drones because GNSS is a major component in drone operation. This study develops a path planning algorithm to address areas with GNSS shadowing. The operation mode of the drone is classified into waypoint selection based on the photography point algorithm (WPS-PPA) and GNSS non-shadowing area algorithm (WPS-GNSA). Both algorithms are experimentally compared for flight performance in the GNSS shadowing area. A field experiment was conducted by varying the distance between the drone and the bridge substructure and by comparing the success of the flights. In successful flights, the GNSS reception of WPS-GNSA reached 1.4 times that of WPS-PPA. Furthermore, even in failed flights, compared to the WPS-PPA algorithm, the WPS-GNSA algorithm continued flight until the GNSS signal further deteriorated. Accordingly, WPS-GNSA is more favorable than WPS-PPA for inspecting bridge substructures under GNSS signal shadowing. Full article
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<p>Current status of the Bukhangang Bridge: (<b>a</b>) Location [<a href="#B44-drones-09-00124" class="html-bibr">44</a>] and (<b>b</b>) Overview [<a href="#B45-drones-09-00124" class="html-bibr">45</a>].</p>
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<p>Three-dimensional (3D) model of the Bukhangang Bridge [<a href="#B46-drones-09-00124" class="html-bibr">46</a>].</p>
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<p>Example for determining 3D grid intersections in the Bukhangang Bridge. The gray, red, and white areas in the figure represent the 3D model of the bridge, grids where flight is impossible due to overlap with the bridge, and grids where flight is possible, respectively.</p>
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<p>Conceptual diagram of calculating camera FOV [<a href="#B47-drones-09-00124" class="html-bibr">47</a>].</p>
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<p>Flowchart for drone path planning.</p>
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<p>Conceptual diagram of the drone flight path based on WPS-PPA. The yellow surface represents the FOV of the drone, the blue dots represent the set waypoints, the black grids are examples of the 3D grid system, and the red arrows are direction of drone.</p>
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<p>Results of setting drone flight path based on WPS-PPA. The gray points represent the waypoints, blue line represents the flight path, and the yellow lines represent the FOV of the drone.</p>
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<p>Conceptual diagram of the drone flight path based on WPS-GNSA. The yellow surface represents the drone’s FOV, the blue dots represent the set waypoints, the black grids are examples of the 3D grid system, and the red arrows are direction of drone.</p>
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<p>Results of setting the drone flight path based on WPS-GNSA. The gray points represent the waypoints, blue line represents the flight path, and the yellow lines represent the drone’s FOV.</p>
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<p>Field experiment status of the Bukhangang Bridge: (<b>a</b>) Underneath and (<b>b</b>) Drone operation, and the red box shows the drone.</p>
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25 pages, 6000 KiB  
Article
Assignment Technology Based on Improved Great Wall Construction Algorithm
by Xianjun Zeng, Yao Wei, Yang Yu, Hanjie Hu, Qixiang Tang and Ning Hu
Drones 2025, 9(2), 113; https://doi.org/10.3390/drones9020113 - 4 Feb 2025
Viewed by 389
Abstract
The problem of allocating multiple UAV tasks is a complex combinatorial optimization challenge, involving various constraints. This paper presents an autonomous multi-UAV cooperative task allocation method based on an improved Great Wall Construction Algorithm. A model integrating battlefield environmental factors, 3D terrain data, [...] Read more.
The problem of allocating multiple UAV tasks is a complex combinatorial optimization challenge, involving various constraints. This paper presents an autonomous multi-UAV cooperative task allocation method based on an improved Great Wall Construction Algorithm. A model integrating battlefield environmental factors, 3D terrain data, and threat assessments is developed for optimized task allocation and trajectory planning. The algorithm is enhanced using a good point set initialization strategy, Gaussian distribution estimation, and a Cauchy reorganization variant. The simulation results show that replacing straight-line distances with actual flight distances leads to more rational mission sequences, improving combat effectiveness under realistic terrain and threat conditions. The enhanced algorithm demonstrates superior accuracy and faster convergence. Full article
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<p>Schematic representation of the worker structure within the GWCA.</p>
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<p>Schematic illustration of the hierarchical architecture of the multi-UAV cooperative mission planning system.</p>
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<p>Schematic representation of workers’ activities.</p>
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<p>Schematic representation of the soldier position update process.</p>
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<p>A schematic representation of the process for updating laborer positions.</p>
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<p>Illustrates the schematic representation of the worker selection strategy.</p>
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<p>An illustration of the initialized population distribution within the set of optimal points.</p>
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<p>Schematic representation of the Cauchy distribution.</p>
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<p>Flow diagram of the GGC-GWCA.</p>
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<p>A schematic representation of the optimized solution.</p>
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<p>Flowchart of the multi-UAV autonomous cooperative task allocation optimization process.</p>
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<p>Simulation environment setup.</p>
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<p>Task execution trajectory. (<b>a</b>) Task execution trajectory for the GWCA. (<b>b</b>) Task execution trajectory for the GGC-GWCA.</p>
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<p>Average convergence curve of yield values.</p>
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<p>Box plot of yield values.</p>
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34 pages, 8806 KiB  
Article
Multi-Target Firefighting Task Planning Strategy for Multiple UAVs Under Dynamic Forest Fire Environment
by Pei Zhu, Shize Jiang, Jiangao Zhang, Ziheng Xu, Zhi Sun and Quan Shao
Fire 2025, 8(2), 61; https://doi.org/10.3390/fire8020061 - 2 Feb 2025
Viewed by 568
Abstract
The frequent occurrence of forest fires in mountainous regions has posed severe threats to both the ecological environment and human activities. This study proposed a multi-target firefighting task planning method of forest fires by multiple UAVs (Unmanned Aerial Vehicles) integrating task allocation and [...] Read more.
The frequent occurrence of forest fires in mountainous regions has posed severe threats to both the ecological environment and human activities. This study proposed a multi-target firefighting task planning method of forest fires by multiple UAVs (Unmanned Aerial Vehicles) integrating task allocation and path planning. The forest fire environment factors such high temperatures, dense smoke, and signal shielding zones were considered as the threats. The multi-UAVs task allocation and path planning model was established with the minimum of flight time, flight angle, altitude variance, and environmental threats. In this process, the study considers only the use of fire-extinguishing balls as the fire suppressant for the UAVs. The improved multi-population grey wolf optimization (MP–GWO) algorithm and non-Dominated sorting genetic algorithm II (NSGA-II) were designed to solve the path planning and task allocation models, respectively. Both algorithms were validated compared with traditional algorithms through simulation experiments, and the sensitivity analysis of different scenarios were conducted. Results from benchmark tests and case studies indicate that the improved MP–GWO algorithm outperforms the grey wolf optimizer (GWO), pelican optimizer (POA), Harris hawks optimizer (HHO), coyote optimizer (CPO), and particle swarm optimizer (PSO) in solving more complex optimization problems, providing better average results, greater stability, and effectively reducing flight time and path cost. At the same scenario and benchmark tests, the improved NSGA-II demonstrates advantages in both solution quality and coverage compared to the original algorithm. Sensitivity analysis revealed that with the increase in UAV speed, the flight time in the completion of firefighting mission decreases, but the average number of remaining fire-extinguishing balls per UAV initially decreases and then rises with a minimum of 1.9 at 35 km/h. The increase in UAV load capacity results in a higher average of remaining fire-extinguishing balls per UAV. For example, a 20% increase in UAV load capacity can reduce the number of UAVs from 11 to 9 to complete firefighting tasks. Additionally, as the number of fire points increases, both the required number of UAVs and the total remaining fire-extinguishing balls increase. Therefore, the results in the current study can offer an effective solution for multiple UAVs firefighting task planning in forest fire scenarios. Full article
(This article belongs to the Special Issue Firefighting Approaches and Extreme Wildfires)
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<p>Schematic of multi-UAV firefighting task planning in forested mountainous areas.</p>
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<p>A three-dimensional representation of the mountainous environment.</p>
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<p>The signal shielding zone threat modeling.</p>
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<p>Three-dimensional flight environment representation of a UAV.</p>
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<p>Flow chart of MP–GWO.</p>
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<p>Flowchart of the NSGA-II.</p>
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<p>Improved OX.</p>
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<p>The convergence curves of the six algorithms on benchmarks. (<b>a</b>) Convergence curve of Function <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mrow> <mn>10</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>b</b>) convergence curve of Function <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mrow> <mn>16</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>c</b>) convergence curve of Function <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mrow> <mn>17</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>d</b>) convergence curve of Function <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mrow> <mn>21</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>e</b>) convergence curve of Function <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mrow> <mn>23</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>f</b>) convergence curve of Function <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mrow> <mn>24</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>The convergence curves of the six algorithms.</p>
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<p>Path planning results for six algorithms. (<b>a</b>) Three-dimensional path visualization of the results from the six algorithms; (<b>b</b>) top-down view of the path results from the six algorithms.</p>
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<p>UAV path planning results in different scenarios. (<b>a</b>) Overall scene diagram of scenario 2; (<b>b</b>) top view of scenario 2; (<b>c</b>) overall scene diagram of scenario 3; (<b>d</b>) top view of scenario 3.</p>
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<p>Pareto front of the task allocation model.</p>
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<p>Multi-UAV path planning results. (<b>a</b>) Three-dimensional visualization of the multi-UAVs path planning results; (<b>b</b>) top view of the multi-UAVs path results.</p>
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<p>Cost results of multi-UAV path planning. (<b>a</b>) Total cost of each UAV; (<b>b</b>) bar chart of cost comparison for each UAV.</p>
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<p>Sensitivity Analysis of UAV Speed on Total Cost and Path Length.</p>
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