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22 pages, 2688 KB  
Article
SOP: Selective Orthogonal Projection for Composed Image Retrieval
by Su Cheng and Guoyang Liu
Sensors 2026, 26(5), 1621; https://doi.org/10.3390/s26051621 (registering DOI) - 4 Mar 2026
Abstract
The proliferation of intelligent sensor networks in urban surveillance and remote sensing has triggered the explosive growth of unstructured visual sensor data. Accurately retrieving targets from these massive streams based on complex cross-modal user intents remains a critical bottleneck for efficient intelligent perception. [...] Read more.
The proliferation of intelligent sensor networks in urban surveillance and remote sensing has triggered the explosive growth of unstructured visual sensor data. Accurately retrieving targets from these massive streams based on complex cross-modal user intents remains a critical bottleneck for efficient intelligent perception. Composed Image Retrieval (CIR) addresses this by enabling retrieval via a multi-modal query that combines a reference image with semantic control signals. However, existing methods often struggle with abstract instructions in real-world scenarios. Consequently, models often suffer from feature distribution shifts due to focus ambiguity, as well as semantic erosion caused by highly entangled visual and textual features. To address these challenges, we propose a geometry-based Selective Orthogonal Projection Network (SOP). First, the Selective Focus Recovery module quantifies instruction uncertainty via information entropy and calibrates shifted query features to the true target distribution using structural consistency regularization. Second, to ensure data fidelity, we introduce Orthogonal Subspace Projectionand Geometric Composition Fidelity. These mechanisms employ Gram–Schmidt orthogonalization to decouple features into a constant visual base and an orthogonal modification increment, restricting semantic modifications to the null space. Extensive experiments on FashionIQ, Shoes, and CIRR datasets demonstrate that SOP significantly outperforms SOTA methods, offering a novel solution for efficient large-scale sensor data retrieval and analysis. Full article
(This article belongs to the Section Intelligent Sensors)
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20 pages, 343 KB  
Article
Gross–Pitaevskii–Poisson Equations from a ξRϕ4 Non-Minimal Scalar-Curvature Coupling
by Bryan Cordero-Patino, Álvaro Duenas-Vidal and Jorge Segovia
Universe 2026, 12(3), 72; https://doi.org/10.3390/universe12030072 (registering DOI) - 4 Mar 2026
Abstract
In cosmological scenarios where the Peccei–Quinn symmetry is broken after inflation, small-scale axion field inhomogeneities can undergo gravitational collapse, leading to the formation of bound structures. The dynamics of these systems are commonly described using cosmological perturbation theory applied to the Einstein–Klein–Gordon equations. [...] Read more.
In cosmological scenarios where the Peccei–Quinn symmetry is broken after inflation, small-scale axion field inhomogeneities can undergo gravitational collapse, leading to the formation of bound structures. The dynamics of these systems are commonly described using cosmological perturbation theory applied to the Einstein–Klein–Gordon equations. In the non-relativistic regime, this description reduces to the Gross–Pitaevskii–Poisson or Schrödinger–Poisson equations, depending on whether axion self-interactions are included. In this work, we extend the axion’s relativistic action by introducing a non-minimal scalar-curvature coupling of the form ξRϕ4, which effectively induces a gravitationally mediated pairwise interaction. By performing a perturbative expansion and subsequently taking the non-relativistic limit, we derive a modified set of evolution equations governing the early stages of axion structure formation. Full article
(This article belongs to the Section High Energy Nuclear and Particle Physics)
21 pages, 2739 KB  
Article
Operational Optimisation of the Medium-Voltage Network Containing Renewable Energy Sources and Energy Storage
by Paweł Pijarski, Sonata Tolvaišienė, Dominik Przepiórka, Jonas Vanagas and Jarosław Wiśniowski
Appl. Sci. 2026, 16(5), 2489; https://doi.org/10.3390/app16052489 - 4 Mar 2026
Abstract
The rapid growth of renewable electricity generation introduces technical challenges that were previously uncommon. These include, for example, problems with exceeding the permissible voltage values in network nodes, overloading of transformers and line sections located behind the transformer, as well as balance problems. [...] Read more.
The rapid growth of renewable electricity generation introduces technical challenges that were previously uncommon. These include, for example, problems with exceeding the permissible voltage values in network nodes, overloading of transformers and line sections located behind the transformer, as well as balance problems. This article proposes an original methodology for eliminating these problems. Four objective functions reflecting different operator priorities were used. Attention is drawn to the increasing importance of the development of electricity storage. The results confirm that coordinated optimisation of voltage regulation, energy storage, and flexible load management enables increased renewable energy connection capacity while reducing power losses and improving the grid voltage profile. The case study results demonstrate the effectiveness of the proposed approach under the considered operating scenarios. The proposed tool can support network operators in managing MV grid operation under the considered scenarios. The ongoing energy transition requires network operators to react quickly to emerging problems. Therefore, advanced computational methods are needed to mitigate operational risks and respond to emerging constraints. Full article
(This article belongs to the Special Issue Advances in Power System for Energy Storage)
21 pages, 348 KB  
Article
Sandwich Results for Holomorphic Functions Related to an Integral Operator
by Amal Mohammed Darweesh, Adel Salim Tayyah, Sarem H. Hadi and Alina Alb Lupaş
Fractal Fract. 2026, 10(3), 171; https://doi.org/10.3390/fractalfract10030171 - 4 Mar 2026
Abstract
In this paper, we introduce a new logarithmic integral operator that unifies differentiation and fractional integration within the complex domain. The present work addresses this gap by applying the proposed operator to analytic functions represented by alternating power series. The method demonstrates that [...] Read more.
In this paper, we introduce a new logarithmic integral operator that unifies differentiation and fractional integration within the complex domain. The present work addresses this gap by applying the proposed operator to analytic functions represented by alternating power series. The method demonstrates that the coefficients can be reorganized in a controlled manner without affecting convergence or analytic behavior. Using this framework, we derive third-order differential subordination and superordination results, which naturally lead to corresponding sandwich-type results. The findings confirm that the introduced operator offers an effective analytical tool for studying distortion, growth, and mapping properties of analytic functions, with promising potential for future applications in fluid mechanics. Full article
22 pages, 661 KB  
Article
A Category Theory Model for Human Communication and Experience
by Cătălin Zaharia, Omar Gelo, Günter Schiepek and Giulio de Felice
Systems 2026, 14(3), 279; https://doi.org/10.3390/systems14030279 - 4 Mar 2026
Abstract
This work explores the application of a Category Theory model, advocating a paradigm for comprehending human experience and the communication process of a complex system from the perspective of a living Anticipatory System. Following the principles created by Robert Rosen for the anticipatory [...] Read more.
This work explores the application of a Category Theory model, advocating a paradigm for comprehending human experience and the communication process of a complex system from the perspective of a living Anticipatory System. Following the principles created by Robert Rosen for the anticipatory system and associated models—models that respect the principles of impredicativity, anticipation, and closure to efficient cause (CLEF)—we propose the Performance–Resilience–Sustainability (PRS) model. This new model introduces a new way to explain how anticipatory systems can elucidate the portions of variability observed in practice and research. Anticipatory system theory suggests that models such as PRS have significant potential to complement and explain dynamic phenomena observed in communication and experience development research, as well as in practical applications, underscoring the transformative potential for both fields. This class of models for complex systems may introduce a new dimension of emergent causality and its impact on current behavior, which was not previously considered. Full article
15 pages, 9155 KB  
Article
Investigation on the Influence of Chemical Compounds in the Failure Mechanism Puncture Zones in Reinforced Rubber
by Vasile Gheorghe, Dan Cristian Cuculea and Eliza Chircan
ChemEngineering 2026, 10(3), 37; https://doi.org/10.3390/chemengineering10030037 - 4 Mar 2026
Abstract
This study investigates the fatigue failure of fiber-reinforced rubber used in automotive shock-absorbing elements subjected to cyclic loads. A quantitative simulation model integrated with material analysis to predict the service life and performance decay of these viscoelastic dampers was introduced. Failure is governed [...] Read more.
This study investigates the fatigue failure of fiber-reinforced rubber used in automotive shock-absorbing elements subjected to cyclic loads. A quantitative simulation model integrated with material analysis to predict the service life and performance decay of these viscoelastic dampers was introduced. Failure is governed by a degradation factor that models accumulating fatigue damage and results in a predictable, cyclic loss of maximum force capacity; specifically, the model accurately predicts a 36.3% reduction in peak force (from 111.44 N to 70.97 N) over the first 10 fatigue cycles. Crucially, the model incorporates the non-linear stiffness behavior caused by a fiber pull-out mechanism, which transitions load resistance from high elastic integrity to lower frictional forces post-critical displacement. These findings establish a direct, quantitative link between microstructural failure (verified via SEM) and observed performance decay, offering key insights for maintenance planning and material selection. Full article
19 pages, 4890 KB  
Article
MTA-Dataset: Multiple-Tilt-Angle Dataset for UAV–Satellite Image Matching
by Qifei Liu, Liang Jiang, Guoqiang Wu, Kun Huang, Haohui Sun and Gengchen Liu
Appl. Sci. 2026, 16(5), 2488; https://doi.org/10.3390/app16052488 - 4 Mar 2026
Abstract
Accurate target localization via matching real-time UAV images with reference satellite imagery is essential for autonomous environmental perception. Nonetheless, operational constraints and weather conditions often necessitate oblique photography. This large-tilt mode causes significant perspective and radiometric distortions, resulting in a substantial domain gap [...] Read more.
Accurate target localization via matching real-time UAV images with reference satellite imagery is essential for autonomous environmental perception. Nonetheless, operational constraints and weather conditions often necessitate oblique photography. This large-tilt mode causes significant perspective and radiometric distortions, resulting in a substantial domain gap between UAV and vertical satellite imagery. The scarcity of datasets featuring extreme viewpoint shifts and fine-grained ground-truth labels hinders the validation of image matching algorithms in multi-tilt-angle environments. To address this issue, we introduce the multiple-tilt-angle dataset (MTA-Dataset), containing 1892 UAV images with tilt angles spanning 0°,90° and flight altitudes up to 300 m, supported by high-precision five-point manual annotations. Based on this benchmark, we evaluate state-of-the-art matching algorithms and propose a spatial-resolution-based cropping strategy. Experimental results demonstrate that, as the UAV tilt angle increases within the range of 0°,90°, although the expanding field of view provides richer contextual information, the localization errors of all methods increase significantly and matching precision drops sharply due to severe geometric distortions in far-field regions and interference from redundant background information, with performance deteriorating most drastically in the 50°,90° range. With the integration of our strategy, the average matching localization errors of SuperPoint + SuperGlue baseline for UAV images within the tilt-angle ranges of 50°,60°, 60°,70°, 70°,80°, and 80°,90° are reduced by 33.49 m, 37.86 m, 98.3 m, and 109.95 m, respectively. Our study provides a more comprehensive evaluation framework for robust UAV–satellite image matching algorithms in multi-tilt-angle scenarios. Full article
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24 pages, 1873 KB  
Article
A Multi-Scale Vision–Sensor Collaborative Framework for Small-Target Insect Pest Management
by Chongyu Wang, Yicheng Chen, Shangshan Chen, Ranran Chen, Ziqi Xia, Ruoyu Hu and Yihong Song
Insects 2026, 17(3), 281; https://doi.org/10.3390/insects17030281 - 4 Mar 2026
Abstract
In complex agricultural production environments, small-target pests—characterized by tiny scales, strong background confusion, and close dependence on environmental conditions—pose major challenges to precise monitoring and green pest control. To facilitate the transition from experience-driven to data-driven pest management, a multi-scale vision–sensor collaborative recognition [...] Read more.
In complex agricultural production environments, small-target pests—characterized by tiny scales, strong background confusion, and close dependence on environmental conditions—pose major challenges to precise monitoring and green pest control. To facilitate the transition from experience-driven to data-driven pest management, a multi-scale vision–sensor collaborative recognition method is proposed for field and protected agriculture scenarios to improve the accuracy and stability of small-target pest recognition under complex conditions. The method jointly models multi-scale visual representations and pest ecological mechanisms: a multi-scale visual feature module enhances fine-grained texture and morphological cues of small targets in deep networks, alleviating feature sparsity and scale mismatch, while environmental sensor data, including temperature, humidity, and illumination, are introduced as priors to modulate visual features and explicitly incorporate ecological constraints into the discrimination process. Stable multimodal fusion and pest category prediction are then achieved through a vision–sensor collaborative discrimination module. Experiments on a multimodal dataset collected from real farmland and greenhouse environments in Linhe District, Bayannur City, Inner Mongolia, demonstrate that the proposed method achieves approximately 93.1% accuracy, 92.0% precision, 91.2% recall, and a 91.6% F1-score on the test set, significantly outperforming traditional machine learning approaches, single-scale deep learning models, and multi-scale vision baselines without environmental priors. Category-level evaluations show balanced performance across multiple small-target pests, including aphids, thrips, whiteflies, leafhoppers, spider mites, and leaf beetles, while ablation studies confirm the critical contributions of multi-scale visual modeling, environmental prior modulation, and vision–sensor collaborative discrimination. Full article
28 pages, 6780 KB  
Article
PSiam-HDSFNet: A Pseudo-Siamese Hybrid Dilation Spiral Feature Network for Flood Inundation Change Detection Based on Heterogeneous Remote Sensing Imagery
by Yichuang Luo, Xunqiang Gong, Yuanxin Ye, Pengyuan Lv, Shuting Yang, Ailong Ma and Yanfei Zhong
Remote Sens. 2026, 18(5), 788; https://doi.org/10.3390/rs18050788 - 4 Mar 2026
Abstract
Flood change detection from remote sensing data can be used to identify post-disaster flooded areas, providing decision support for emergency rescue and post-disaster reconstruction. Although the combination of SAR and optical images effectively addresses obscuration by clouds and rain, the inherent difference in [...] Read more.
Flood change detection from remote sensing data can be used to identify post-disaster flooded areas, providing decision support for emergency rescue and post-disaster reconstruction. Although the combination of SAR and optical images effectively addresses obscuration by clouds and rain, the inherent difference in their imaging mechanisms poses a challenge to improving the accuracy of flood area change detection. Furthermore, existing flood inundation change detection methods based on heterogeneous remote sensing imagery struggle to distinguish small ground objects within the background from the actual inundated regions. Therefore, a pseudo-Siamese hybrid dilation spiral feature network (PSiam-HDSFNet) is proposed in this paper. Firstly, the feature extraction pipeline progressively processes optical and SAR images through five-layer Enhanced Deep Residual Blocks and five-layer Residual Dense Blocks, respectively. A Hybrid Dilated Pyramid (HDP) module based on a sawtooth wave-like dilated coefficient is designed to enhance multi-scale semantics of deep features in order to selectively reinforce semantic features in flood areas and weaken the noise semantics from small ground objects. Then, a Spiral Feature Pyramid (SFP) module is designed to make the deep features of SAR and optical images more consistent in spatial structure and numerical distribution patterns, so that the features of flood areas become more prominent while the noise semantics from small ground objects are further suppressed. After that, the Galerkin-type attention with linear complexity is introduced to the decoder, rapidly reconstructing the abstract semantic information of floods into interpretable flood features. Finally, the Align OPT-SAR (AlignOS) method is designed to align SAR and optical image features, enabling subsequent flood area detection. Seven metrics are adopted in the comparison between PSiam-HDSFNet and the other 14 methods. The results indicate that PSiam-HDSFNet improves change detection accuracy by extracting and processing depth features of these two images without image domain translation, and its F1 scores are improved by 7.704%, 7.664%, 4.353%, and 1.111% in the four flood coverage categories detection tasks compared to the suboptimum. Full article
17 pages, 327 KB  
Article
Fixed Point Approximation of Generalized α-Non-Expansive Multi-Valued Mapping in Convex Metric Space
by Tanveer Hussain, Vasile Berinde and Abdul Rahim Khan
Axioms 2026, 15(3), 188; https://doi.org/10.3390/axioms15030188 - 4 Mar 2026
Abstract
In this paper, we present approximation results for a generalized α-non-expansive multi-valued mapping using a four-step iteration scheme introduced in the context of a convex metric space. We extend some recent results about generalized α-non-expansive multi-valued mappings from the Banach space [...] Read more.
In this paper, we present approximation results for a generalized α-non-expansive multi-valued mapping using a four-step iteration scheme introduced in the context of a convex metric space. We extend some recent results about generalized α-non-expansive multi-valued mappings from the Banach space setting to a convex metric space. Two examples of generalized α-non-expansive multi-valued mappings are presented, and it is numerically shown that our iteration scheme enables faster convergence than other well-known schemes in the literature. To demonstrate the application of one of our results, we provide the solution of a non-linear integral equation. Full article
(This article belongs to the Special Issue Numerical Analysis and Applied Mathematics, 2nd Edition)
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22 pages, 25254 KB  
Article
BFI-YOLO: A Lightweight Bidirectional Feature Interaction Network for Aluminum Surface Defect Detection
by Tianyu Guo, Songsong Li, Weining Li, Qiaozhen Zhou and Luyang Shi
Electronics 2026, 15(5), 1080; https://doi.org/10.3390/electronics15051080 - 4 Mar 2026
Abstract
As a critical step in industrial quality control, surface defect detection in aluminum materials remains challenging for minor defects despite advances in deep learning. To address this, this paper proposes an enhanced YOLOv8-based model, BFI-YOLO, that incorporates a Bidirectional Multi-scale Residual Network. Specifically, [...] Read more.
As a critical step in industrial quality control, surface defect detection in aluminum materials remains challenging for minor defects despite advances in deep learning. To address this, this paper proposes an enhanced YOLOv8-based model, BFI-YOLO, that incorporates a Bidirectional Multi-scale Residual Network. Specifically, we design a Bidirectional Multi-scale Feature Pyramid Network (BM-FPN) based on BiFPN to strengthen cross-scale feature fusion. The parameter-free SimAM attention module is embedded to enhance subtle defect responses while suppressing background texture interference, without introducing additional computational overhead.Furthermore, we develop a Multi-scale Residual Convolution (MSRConv) module to capture defects of varying sizes on aluminum surfaces comprehensively. MSRConv utilizes multi-scale convolutional kernels to adapt to cross-scale defect features and retains shallow details via residual connections, thereby strengthening the model’s representation of fine defects. Extensive experiments on the public TAPSDD dataset show that BFI-YOLO achieves a precision of 91.3%, a recall of 89.8%, and mAP@0.5 of 92.1%, with only 1.8 M parameters. Compared to the baseline, BFI-YOLO reduces parameters by 40% while increasing mAP@0.5 by 4.2%, effectively balancing detection accuracy and lightweight performance. Optimized for resource-constrained industrial platforms such as embedded systems and mobile robots, BFI-YOLO meets real-time monitoring requirements while achieving competitive detection accuracy, providing an efficient and practical solution for metal surface defect detection. Full article
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29 pages, 1306 KB  
Article
AGRO: An Adaptive Gold Rush Optimizer with Dynamic Strategy Selection
by Costas Panagiotakis
Algorithms 2026, 19(3), 192; https://doi.org/10.3390/a19030192 - 4 Mar 2026
Abstract
In this paper, we propose a metaheuristic optimization algorithm called Adaptive Gold Rush Optimizer (AGRO), a substantial evolution of the original Gold Rush Optimizer (GRO). Unlike the standard GRO, which relies on fixed probabilities in the strategy selection process, AGRO utilizes a novel [...] Read more.
In this paper, we propose a metaheuristic optimization algorithm called Adaptive Gold Rush Optimizer (AGRO), a substantial evolution of the original Gold Rush Optimizer (GRO). Unlike the standard GRO, which relies on fixed probabilities in the strategy selection process, AGRO utilizes a novel adaptive mechanism that prioritizes strategies improving solution quality. This adaptive component, which can be applied to any optimization algorithm with fixed probabilities in the strategy selection, adjusts the probabilities of the three core search strategies of GRO (Migration, Collaboration, and Panning), in real time, rewarding those that successfully improve solution quality. Furthermore, AGRO introduces fundamental modifications to the search equations, eliminating the inherent attraction towards the zero coordinates, while explicitly incorporating objective function values to guide prospectors towards promising regions. Experimental results demonstrate that AGRO is highly competitive against ten state-of-the-art algorithms on the twenty-three classical benchmark functions, the CEC2017, and the CEC2019 datasets, offering robust performance across diverse problem landscapes. Full article
(This article belongs to the Special Issue Machine Learning for Pattern Recognition (3rd Edition))
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26 pages, 4367 KB  
Article
SDD-RT-DETR: A Lightweight and Efficient Printed Circuit Board Surface Defect Detection Method Based on an Improved RT-DETR Toward Sustainable Manufacturing
by Zhaojie Sun, Xueyu Huang, Binghui Wei and Yipeng Li
Sustainability 2026, 18(5), 2518; https://doi.org/10.3390/su18052518 - 4 Mar 2026
Abstract
In electronic manufacturing, efficient detection of printed circuit board (PCB) surface defects is essential for reducing rework rates and minimizing material waste, thereby supporting sustainable manufacturing. To address the challenge that existing methods struggle to balance detection accuracy and real-time performance in complex [...] Read more.
In electronic manufacturing, efficient detection of printed circuit board (PCB) surface defects is essential for reducing rework rates and minimizing material waste, thereby supporting sustainable manufacturing. To address the challenge that existing methods struggle to balance detection accuracy and real-time performance in complex industrial environments, this paper proposes a lightweight and high-performance PCB surface defect detection model, termed SDD-RT-DETR. Built upon Real-Time Detection Transformer (RT-DETR), the proposed model introduces a Faster-Block backbone to improve feature extraction efficiency, replaces the original feature fusion module with HS-FPN to enhance multi-scale representation, and employs the Wise-Focaler-MPDIoU loss to optimize bounding box regression. Experiments conducted on an expanded PCB defect dataset containing 3403 images show that SDD-RT-DETR achieves improvements of 2.3% in mAP and 3.6% in inference speed over the baseline, while reducing parameters by 5.04 M and FLOPs by 12.7 G. These results demonstrate that the proposed method effectively balances accuracy, efficiency, and computational cost, offering a practical solution for low-energy and sustainable intelligent electronic manufacturing systems. Full article
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26 pages, 14884 KB  
Review
A Review on Forest Fire Detection Techniques: Past, Present, and Sustainable Future
by Alimul Haque Khan, Ali Newaz Bahar and Khan Wahid
Sensors 2026, 26(5), 1609; https://doi.org/10.3390/s26051609 - 4 Mar 2026
Abstract
Forest fires are a major concern due to their significant impact on the environment, economy, and wildlife habitats. Efficient early detection systems can significantly mitigate their devastating effects. This paper provides a comprehensive review of forest fire detection (FFD) techniques and traces their [...] Read more.
Forest fires are a major concern due to their significant impact on the environment, economy, and wildlife habitats. Efficient early detection systems can significantly mitigate their devastating effects. This paper provides a comprehensive review of forest fire detection (FFD) techniques and traces their evolution from basic lookout-based methods to sophisticated remote sensing technologies, including recent Internet of Things (IoT)- and Unmanned Aerial Vehicle (UAV)-based sensor network systems. Historical methods, characterized primarily by human surveillance and basic electronic sensors, laid the foundation for modern techniques. Recently, there has been a noticeable shift toward ground-based sensors, automated camera systems, aerial surveillance using drones and aircraft, and satellite imaging. Moreover, the rise of Artificial Intelligence (AI), Machine Learning (ML), and the IoT introduces a new era of advanced detection capabilities. These detection systems are being actively deployed in wildfire-prone regions, where early alerts have proven critical in minimizing damage and aiding rapid response. All FFD techniques follow a common path of data collection, pre-processing, data compression, transmission, and post-processing. Providing sufficient power to complete these tasks is also an important area of research. Recent research focuses on image compression techniques, data transmission, the application of ML and AI at edge nodes and servers, and the minimization of energy consumption, among other emerging directions. However, to build a sustainable FFD model, proper sensor deployment is essential. Sensors can be either fixed at specific geographic locations or attached to UAVs. In some cases, a combination of fixed and UAV-mounted sensors may be used. Careful planning of sensor deployment is essential for the success of the model. Moreover, ensuring adequate energy supply for both ground-based and UAV-based sensors is important. Replacing sensor batteries or recharging UAVs in remote areas is highly challenging, particularly in the absence of an operator. Hence, future FFD systems must prioritize not only detection accuracy but also long-term energy autonomy and strategic sensor placement. Integrating renewable energy sources, optimizing data processing, and ensuring minimal human intervention will be key to developing truly sustainable and scalable solutions. This review aims to guide researchers and developers in designing next-generation FFD systems aligned with practical field demands and environmental resilience. Full article
(This article belongs to the Section Environmental Sensing)
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24 pages, 3737 KB  
Article
A Method of 3D Target Localization Based on Multi-View Airborne-Distributed SAR
by Xuyang Ge, Xingdong Liang, Xiangwei Dang, Zhiyu Jiang, Jiashuo Wei and Xiangxi Bu
Electronics 2026, 15(5), 1079; https://doi.org/10.3390/electronics15051079 - 4 Mar 2026
Abstract
With the increasing demand for three-dimensional positioning in Synthetic Aperture Radar (SAR) systems, multi-view SAR technology is rapidly evolving. Airborne-distributed SAR systems, benefiting from multi-platform collaborative observation, flexible baseline configuration, and synchronous imaging, have become an ideal solution for realizing this technology. However, [...] Read more.
With the increasing demand for three-dimensional positioning in Synthetic Aperture Radar (SAR) systems, multi-view SAR technology is rapidly evolving. Airborne-distributed SAR systems, benefiting from multi-platform collaborative observation, flexible baseline configuration, and synchronous imaging, have become an ideal solution for realizing this technology. However, the flight paths of these platforms are not optimal, and the airborne navigation equipment also suffers from measurement errors, which severely deteriorates the multi-view SAR target positioning accuracy of the airborne-distributed platforms. Currently, research on this issue remains scarce. This paper is based on the multi-view normalized Range Doppler positioning model, introducing platform position errors to derive the Cramér-Rao Lower Bound (CRLB). A detailed positioning accuracy analysis is conducted for different flight paths and various sources of errors, demonstrating that platform position errors are a primary factor affecting target positioning accuracy. To address this, a target positioning method based on inter-platform ranging information is proposed, which imposes constraints on the position of the airborne-distributed platform using inter-platform ranging data, thereby reducing the dependence of target positioning accuracy on platform position errors and enhancing the robustness of three-dimensional positioning for multi-view SAR targets. The effectiveness of the proposed method is verified using measured data, which reduces the 3D positioning error of the target by nearly 60%. Full article
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