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Search Results (354)

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Keywords = discontinuous map

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24 pages, 38672 KB  
Article
RMTDepth: Retentive Vision Transformer for Enhanced Self-Supervised Monocular Depth Estimation from Oblique UAV Videos
by Xinrui Zeng, Bin Luo, Shuo Zhang, Wei Wang, Jun Liu and Xin Su
Remote Sens. 2025, 17(19), 3372; https://doi.org/10.3390/rs17193372 - 6 Oct 2025
Viewed by 449
Abstract
Self-supervised monocular depth estimation from oblique UAV videos is crucial for enabling autonomous navigation and large-scale mapping. However, existing self-supervised monocular depth estimation methods face key challenges in UAV oblique video scenarios: depth discontinuity from geometric distortion under complex viewing angles, and spatial [...] Read more.
Self-supervised monocular depth estimation from oblique UAV videos is crucial for enabling autonomous navigation and large-scale mapping. However, existing self-supervised monocular depth estimation methods face key challenges in UAV oblique video scenarios: depth discontinuity from geometric distortion under complex viewing angles, and spatial ambiguity in weakly textured regions. These challenges highlight the need for models that combine global reasoning with geometric awareness. Accordingly, we propose RMTDepth, a self-supervised monocular depth estimation framework for UAV imagery. RMTDepth integrates an enhanced Retentive Vision Transformer (RMT) backbone, introducing explicit spatial priors via a Manhattan distance-driven spatial decay matrix for efficient long-range geometric modeling, and embeds a neural window fully-connected CRF (NeW CRFs) module in the decoder to refine depth edges by optimizing pairwise relationships within local windows. To mitigate noise in COLMAP-generated depth for real-world UAV datasets, we constructed a high-fidelity UE4/AirSim simulation environment, which generated a large-scale precise depth dataset (UAV SIM Dataset) to validate robustness. Comprehensive experiments against seven state-of-the-art methods across UAVID Germany, UAVID China, and UAV SIM datasets demonstrate that our model achieves SOTA performance in most scenarios. Full article
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24 pages, 462 KB  
Article
New Results on the Computation of Periods of IETs
by Antonio Linero Bas and Gabriel Soler López
Mathematics 2025, 13(19), 3175; https://doi.org/10.3390/math13193175 - 3 Oct 2025
Viewed by 162
Abstract
We introduce a novel technique for computing the periods of (d,k)-IETs based on Rauzy induction R. Specifically, we establish a connection between the set of periods of an interval exchange transformation (IET) T and those of the [...] Read more.
We introduce a novel technique for computing the periods of (d,k)-IETs based on Rauzy induction R. Specifically, we establish a connection between the set of periods of an interval exchange transformation (IET) T and those of the IET T obtained either by applying the Rauzy operator R to T or by considering the Poincaré first return map. Rauzy matrices play a central role in this correspondence whenever T lies in the domain of R (Theorem 4). Furthermore, Theorem 6 addresses the case when T is not in the domain of R, while Theorem 5 deals with IETs having associated reducible permutations. As an application, we characterize the set of periods of oriented 3-IETs (Theorem 8), and we also propose a general framework for studying the periods of (d,k)-IETs. Our approach provides a systematic method for determining the periods of non-transitive IETs. In general, given an IET with d discontinuities, if Rauzy induction allows us to descend to another IET whose periodic components are already known, then the main theorems of this paper can be applied to recover the set of periods of the original IET. This method has been also applied to obtain the set of periods of all (2,k)-IETs and some (3,k)-IETs, k1. Several open problems are presented at the end of the paper. Full article
(This article belongs to the Section C2: Dynamical Systems)
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17 pages, 5074 KB  
Article
Dynamic Recrystallization and Microstructural Evolution During Hot Deformation of Al-Cu-Mg Alloy
by Fangyan He, Xiaolan Wu, Zhizheng Rong, Xueqin Zhang, Xiangyuan Xiong, Shengping Wen, Kunyuan Gao, Wu Wei, Li Rong, Hui Huang and Zuoren Nie
Metals 2025, 15(10), 1100; https://doi.org/10.3390/met15101100 - 1 Oct 2025
Viewed by 319
Abstract
Isothermal hot compression tests were performed on an Al-4.8Cu-0.25Mg-0.32Mn-0.17Si alloy using a Gleeble-3500 thermomechanical simulator within the temperature range of 350–510 °C and strain rate range of 0.001–10 s−1, achieving a true strain of 0.9. The constitutive equation and hot processing [...] Read more.
Isothermal hot compression tests were performed on an Al-4.8Cu-0.25Mg-0.32Mn-0.17Si alloy using a Gleeble-3500 thermomechanical simulator within the temperature range of 350–510 °C and strain rate range of 0.001–10 s−1, achieving a true strain of 0.9. The constitutive equation and hot processing maps were established to predict the flow behavior of the alloy. The hot deformation mechanisms were investigated through microstructural characterization using inverse pole figure (IPF), grain boundary (GB), and grain orientation spread (GOS) analysis. The results demonstrate that both dynamic recovery (DRV) and dynamic recrystallization (DRX) occur during hot deformation. At high lnZ values (high strain rates and low deformation temperatures), discontinuous dynamic recrystallization (DDRX) dominates. Under middle lnZ conditions (low strain rate or high deformation temperature), both continuous dynamic recrystallization (CDRX) and DDRX are the primary mechanisms. Conversely, at low lnZ values (low strain rates and high temperatures), CDRX and geometric dynamic recrystallization (GDRX) become predominant. The DRX process in the Al-Cu-Mg alloy is controlled by the deformation temperature and strain rate. Full article
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14 pages, 3831 KB  
Article
An Adaptive Absolute Phase Correction Method with Row–Column Constraints for Projected Fringe Profilometry
by Yuyang Yu, Qin Zhang, Pengfei Feng, Lei Qian and Chucheng Li
Photonics 2025, 12(10), 956; https://doi.org/10.3390/photonics12100956 - 27 Sep 2025
Viewed by 193
Abstract
The accuracy of phase unwrapping is a decisive factor in achieving high-precision dimensional measurement using the projected fringe profilometry. However, discontinuities at truncation points inevitably lead to phase jumps, especially when measuring objects with complex hollow features, resulting in significantly increased errors. To [...] Read more.
The accuracy of phase unwrapping is a decisive factor in achieving high-precision dimensional measurement using the projected fringe profilometry. However, discontinuities at truncation points inevitably lead to phase jumps, especially when measuring objects with complex hollow features, resulting in significantly increased errors. To address this issue, this paper proposes an adaptive phase correction algorithm based on row and column constraints. First, the algorithm identifies the main normal phase distribution region in each column and interpolates abnormal values deviating from this region, ensuring smooth phase distribution in the column direction. Then, it detects each continuous non-zero segment in every row, locates phase jump positions, and performs local corrections. This approach enhances the overall continuity of the phase map and effectively compensates for phase jump errors. Experimental results demonstrate that the proposed method can effectively suppress phase jumps caused by object edges and hollow regions, achieving an absolute error of less than 0.05 mm in measured step height differences in standard blocks. This provides a reliable phase preprocessing solution for the optical measurement of complex-shaped objects. Full article
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25 pages, 11172 KB  
Article
Semantic Segmentation Method of Residential Areas in Remote Sensing Images Based on Cross-Attention Mechanism
by Bin Zhao, Yang Mi, Ruohuai Sun and Chengdong Wu
Remote Sens. 2025, 17(18), 3253; https://doi.org/10.3390/rs17183253 - 20 Sep 2025
Viewed by 434
Abstract
Aiming at common problems such as high classification error rate, environmental noise interference, regional discontinuity, and structural absence in the semantic segmentation of residential areas, this paper proposes a CrossAtt-UNet architecture based on the Cross Attention mechanism. This network is based on the [...] Read more.
Aiming at common problems such as high classification error rate, environmental noise interference, regional discontinuity, and structural absence in the semantic segmentation of residential areas, this paper proposes a CrossAtt-UNet architecture based on the Cross Attention mechanism. This network is based on the Att-UNet framework and innovatively proposes a Cross Attention module. Cross-level information features are extracted by establishing cross-associations on the feature map’s horizontal and vertical coordinate axes. It ensures the efficient utilization of computing resources and significantly improves the accuracy of semantic segmentation and the adjacency relationship of the target region. After many experimental verifications, this network architecture performs outstandingly on the semantic segmentation dataset of living areas, with an accuracy of 95.47%, an mAP (mean average precision) of 94.57%, an mIoU (mean intersection over union) of 89.80%, an F1-score of 94.63%, a train_loss (training loss) of 0.0878, and a val_loss (validation loss) of 0.1459. Its segmentation performance, area integrity, and edge recognition accuracy are higher than those of mainstream networks. The concrete damage detection experiment further indicates that this network has good generalization ability, demonstrating stable performance and robustness. Full article
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18 pages, 3709 KB  
Article
AI-Based Response Classification After Anti-VEGF Loading in Neovascular Age-Related Macular Degeneration
by Murat Fırat, İlknur Tuncer Fırat, Ziynet Fadıllıoğlu Üstündağ, Emrah Öztürk and Taner Tuncer
Diagnostics 2025, 15(17), 2253; https://doi.org/10.3390/diagnostics15172253 - 5 Sep 2025
Viewed by 746
Abstract
Background/Objectives: Wet age-related macular degeneration (AMD) is a progressive retinal disease characterized by macular neovascularization (MNV). Currently, the standard treatment for wet AMD is intravitreal anti-VEGF administration, which aims to control disease activity by suppressing neovascularization. In clinical practice, the decision to [...] Read more.
Background/Objectives: Wet age-related macular degeneration (AMD) is a progressive retinal disease characterized by macular neovascularization (MNV). Currently, the standard treatment for wet AMD is intravitreal anti-VEGF administration, which aims to control disease activity by suppressing neovascularization. In clinical practice, the decision to continue or discontinue treatment is largely based on the presence of fluid on optical coherence tomography (OCT) and changes in visual acuity. However, discrepancies between anatomic and functional responses can occur during these assessments. Methods: This article presents an artificial intelligence (AI)-based classification model developed to objectively assess the response to anti-VEGF treatment in patients with AMD at 3 months. This retrospective study included 120 patients (144 eyes) who received intravitreal bevacizumab treatment. After bevacizumab loading treatment, the presence of subretinal/intraretinal fluid (SRF/IRF) on OCT images and changes in visual acuity (logMAR) were evaluated. Patients were divided into three groups: Class 0, active disease (persistent SRF/IRF); Class 1, good response (no SRF/IRF and ≥0.1 logMAR improvement); and Class 2, limited response (no SRF/IRF but with <0.1 logMAR improvement). Pre-treatment and 3-month post-treatment OCT image pairs were used for training and testing the artificial intelligence model. Based on this grouping, classification was performed with a Siamese neural network (ResNet-18-based) model. Results: The model achieved 95.4% accuracy. The macro precision, macro recall, and macro F1 scores for the classes were 0.948, 0.949, and 0.948, respectively. Layer Class Activation Map (LayerCAM) heat maps and Shapley Additive Explanations (SHAP) overlays confirmed that the model focused on pathology-related regions. Conclusions: In conclusion, the model classifies post-loading response by predicting both anatomic disease activity and visual prognosis from OCT images. Full article
(This article belongs to the Section Machine Learning and Artificial Intelligence in Diagnostics)
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16 pages, 2245 KB  
Article
Geographic Variation in Persistence of Oral Anticoagulant Treatment Among Patients with Non-Valvular Atrial Fibrillation in the United States
by Brett D. Atwater, Risho Singh, Ali Bonakdar, Dong Cheng, Serina Deeba, Samina Dhuliawala, Michelle Zhang and Elisabeth Vodicka
J. Clin. Med. 2025, 14(17), 6265; https://doi.org/10.3390/jcm14176265 - 5 Sep 2025
Viewed by 623
Abstract
Background/Objectives: Geographical variations in outcomes and oral anticoagulant (OAC) initiation among patients with nonvalvular atrial fibrillation (NVAF) in the United States (US) have been characterized; however, regional effects on OAC persistence are unknown. The study described variation in persistence with OACs among [...] Read more.
Background/Objectives: Geographical variations in outcomes and oral anticoagulant (OAC) initiation among patients with nonvalvular atrial fibrillation (NVAF) in the United States (US) have been characterized; however, regional effects on OAC persistence are unknown. The study described variation in persistence with OACs among patients with NVAF across different US regions. Methods: The Komodo Healthcare Map was used to evaluate adult patients with NVAF, elevated stroke risk, and ≥1 pharmacy claim for an OAC between 1 January 2015 and 31 August 2022. Patients initiating treatment with an OAC (treatment-naïve) and having ≥12 months continuous enrollment were included. Persistence rates were assessed at 6, 9, 12 and 18 months among OAC- and direct OAC (DOAC)-naïve patients by 3-digit zip codes. Results: Of the 260,001 (Northeast = 72,507, Midwest = 59,979, South = 83,880, West = 42,778, Other/Unknown = 857) OAC-naïve patients identified, 82.2% were DOAC-naïve while 17.8% initiated warfarin. Mean follow-up time was 1101 (median = 964) and 1073 days (median = 938) in OAC and DOAC cohorts, respectively, while mean time to discontinuation was 342 (median = 190) and 329 days (median = 181), respectively. At 12 months, persistence rates ranged from 40.3% to 78.8% for OAC-naïve patients and 40.6% to 81.4% for DOAC-naïve patients. Average OAC and DOAC 12-month persistence rates were highest in the Northeast (63.5% and 63.7%, respectively) and lowest in the South (57.1% and 56.9%, respectively). Conclusions: Variations in 12-month persistence were consistent with existing evidence on geographic variation in NVAF-related disease burden and treatment initiation. Understanding geographic trends in prescribing patterns may provide insights into differences in treatment persistence that are relevant for clinicians seeking to address real-world barriers to care. Full article
(This article belongs to the Section Cardiology)
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19 pages, 25472 KB  
Article
Evaluating and Optimizing Walkability in 15-Min Post-Industrial Community Life Circles
by Xiaowen Xu, Bo Zhang, Yidan Wang, Renzhang Wang, Daoyong Li, Marcus White and Xiaoran Huang
Buildings 2025, 15(17), 3143; https://doi.org/10.3390/buildings15173143 - 2 Sep 2025
Viewed by 743
Abstract
With industrial transformation and the rise in the 15 min community life circle, optimizing walkability and preserving industrial heritage are key to revitalizing former industrial areas. This study, focusing on Shijingshan District in Beijing, proposes a walkability evaluation framework integrating multi-source big data [...] Read more.
With industrial transformation and the rise in the 15 min community life circle, optimizing walkability and preserving industrial heritage are key to revitalizing former industrial areas. This study, focusing on Shijingshan District in Beijing, proposes a walkability evaluation framework integrating multi-source big data and street-level perception. Using Points of Interest (POI) classification, which refers to the categorization of key urban amenities, pedestrian network modeling, and street view image data, a Walkability Friendliness Index is developed across four dimensions: accessibility, convenience, diversity, and safety. POI data provide insights into the spatial distribution of essential services, while pedestrian network data, derived from OpenStreetMap, model the walkable road network. Street view image data, processed through semantic segmentation, are used to assess the quality and safety of pedestrian pathways. Results indicate that core communities exhibit higher Walkability Friendliness Index scores due to better connectivity and land use diversity, while older and newly developed areas face challenges such as street discontinuity and service gaps. Accordingly, targeted optimization strategies are proposed: enhancing accessibility by repairing fragmented alleys and improving network connectivity; promoting functional diversity through infill commercial and service facilities; upgrading lighting, greenery, and barrier-free infrastructure to ensure safety; and delineating priority zones and balanced enhancement zones for differentiated improvement. This study presents a replicable technical framework encompassing data acquisition, model evaluation, and strategy development for enhancing walkability, providing valuable insights for the revitalization of industrial districts worldwide. Future research will incorporate virtual reality and subjective user feedback to further enhance the adaptability of the model to dynamic spatiotemporal changes. Full article
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18 pages, 14435 KB  
Article
Microstructure Evolution and Constitutive Model of Spray-Formed 7055 Forging Aluminum Alloy
by Yu Deng, Huyou Zhao, Xiaolong Wang, Mingliang Cui, Xuanjie Zhao, Jiansheng Zhang and Jie Zhou
Materials 2025, 18(17), 4108; https://doi.org/10.3390/ma18174108 - 1 Sep 2025
Viewed by 671
Abstract
The thermal deformation behaviour of a spray-formed 7055 as-forged aluminium alloy was studied using isothermal hot-press tests under different deformation conditions (strain rates of 0.01, 0.1, 1, and 10 s−1, temperatures of 340, 370, 400, 430, and 460 °C). An Arrhenius [...] Read more.
The thermal deformation behaviour of a spray-formed 7055 as-forged aluminium alloy was studied using isothermal hot-press tests under different deformation conditions (strain rates of 0.01, 0.1, 1, and 10 s−1, temperatures of 340, 370, 400, 430, and 460 °C). An Arrhenius constitutive model was developed using flow stress data corrected for friction and temperature, yielding a correlation coefficient (R) of 0.9877, an average absolute relative error (AARE) of 4.491%, and a deformation activation energy (Q) of 117.853 kJ/mol. Processing maps integrating instability criteria and power dissipation efficiency identified appropriate processing parameters at 400–460 °C/0.08–0.37 s−1. Furthermore, this study investigated how strain rate and temperature influence microstructural evolution. Microstructural characterization revealed that both dynamic recovery (DRV) and dynamic recrystallization (DRX) occur simultaneously during thermal deformation. At low temperatures (≤400 °C), DRV and continuous dynamic recrystallization (CDRX) dominated; at 430 °C, deformation microstructures and recrystallized grains coexisted, whereas abnormal grain growth prevailed at 460 °C. The prevailing mechanism of dynamic softening was influenced by the applied strain rate. At lower strain rates (≤0.1 s−1), discontinuous dynamic recrystallization (DDRX) was the primary mechanism, whereas CDRX became dominant at higher strain rates (≥1 s−1), and dislocation density gradients developed within adiabatic shear bands at 10 s−1. Full article
(This article belongs to the Section Metals and Alloys)
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23 pages, 3731 KB  
Article
Efficient Navigable Area Computation for Underground Autonomous Vehicles via Ground Feature and Boundary Processing
by Miao Yu, Yibo Du, Xi Zhang, Ziyan Ma and Zhifeng Wang
Sensors 2025, 25(17), 5355; https://doi.org/10.3390/s25175355 - 29 Aug 2025
Viewed by 524
Abstract
Accurate boundary detection is critical for autonomous trackless rubber-wheeled vehicles in underground coal mines, as it prevents lateral collisions with tunnel walls. Unlike open-road environments, underground tunnels suffer from poor illumination, water mist, and dust, which degrade visual imaging. To address these challenges, [...] Read more.
Accurate boundary detection is critical for autonomous trackless rubber-wheeled vehicles in underground coal mines, as it prevents lateral collisions with tunnel walls. Unlike open-road environments, underground tunnels suffer from poor illumination, water mist, and dust, which degrade visual imaging. To address these challenges, this paper proposes a navigable area computation for underground autonomous vehicles via ground feature and boundary processing, consisting of three core steps. First, a real-time point cloud correction process via pre-correction and dynamic update aligns ground point clouds with the LiDAR coordinate system to ensure parallelism. Second, corrected point clouds are projected onto a 2D grid map using a grid-based method, effectively mitigating the impact of ground unevenness on boundary extraction; third, an adaptive boundary completion method is designed to resolve boundary discontinuities in junctions and shunting chambers. Additionally, the method emphasizes continuous extraction of boundaries over extended periods by integrating temporal context, ensuring the continuity of boundary detection during vehicle operation. Experiments on real underground vehicle data validate that the method achieves accurate detection and consistent tracking of dual-sided boundaries across straight tunnels, curves, intersections, and shunting chambers, meeting the requirements of underground autonomous driving. This work provides a rule-based, real-time solution feasible under limited computing power, offering critical safety redundancy when deep learning methods fail in harsh underground environments. Full article
(This article belongs to the Special Issue Intelligent Traffic Safety and Security)
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28 pages, 8325 KB  
Article
Tunnel Rapid AI Classification (TRaiC): An Open-Source Code for 360° Tunnel Face Mapping, Discontinuity Analysis, and RAG-LLM-Powered Geo-Engineering Reporting
by Seyedahmad Mehrishal, Junsu Leem, Jineon Kim, Yulong Shao, Il-Seok Kang and Jae-Joon Song
Remote Sens. 2025, 17(16), 2891; https://doi.org/10.3390/rs17162891 - 20 Aug 2025
Viewed by 1641
Abstract
Accurate and efficient rock mass characterization is essential in geotechnical engineering, yet traditional tunnel face mapping remains time consuming, subjective, and potentially hazardous. Recent advances in digital technologies and AI offer automation opportunities, but many existing solutions are hindered by slow 3D scanning, [...] Read more.
Accurate and efficient rock mass characterization is essential in geotechnical engineering, yet traditional tunnel face mapping remains time consuming, subjective, and potentially hazardous. Recent advances in digital technologies and AI offer automation opportunities, but many existing solutions are hindered by slow 3D scanning, computationally intensive processing, and limited integration flexibility. This paper presents Tunnel Rapid AI Classification (TRaiC), an open-source MATLAB-based platform for rapid and automated tunnel face mapping. TRaiC integrates single-shot 360° panoramic photography, AI-powered discontinuity detection, 3D textured digital twin generation, rock mass discontinuity characterization, and Retrieval-Augmented Generation with Large Language Models (RAG-LLM) for automated geological interpretation and standardized reporting. The modular eight-stage workflow includes simplified 3D modeling, trace segmentation, 3D joint network analysis, and rock mass classification using RMR, with outputs optimized for Geo-BIM integration. Initial evaluations indicate substantial reductions in processing time and expert assessment workload. Producing a lightweight yet high-fidelity digital twin, TRaiC enables computational efficiency, transparency, and reproducibility, serving as a foundation for future AI-assisted geotechnical engineering research. Its graphical user interface and well-structured open-source code make it accessible to users ranging from beginners to advanced researchers. Full article
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34 pages, 2291 KB  
Article
A Study of Periodicities in a One-Dimensional Piecewise Smooth Discontinuous Map
by Rajanikant A. Metri, Bhooshan Rajpathak, Kethavath Raghavendra Naik and Mohan Lal Kolhe
Mathematics 2025, 13(15), 2518; https://doi.org/10.3390/math13152518 - 5 Aug 2025
Viewed by 679
Abstract
In this study, we investigate the nonlinear dynamical behavior of a one-dimensional linear piecewise-smooth discontinuous (LPSD) map with a negative slope, motivated by its occurrence in systems exhibiting discontinuities, such as power electronic converters. The objective of the proposed research is to develop [...] Read more.
In this study, we investigate the nonlinear dynamical behavior of a one-dimensional linear piecewise-smooth discontinuous (LPSD) map with a negative slope, motivated by its occurrence in systems exhibiting discontinuities, such as power electronic converters. The objective of the proposed research is to develop an analytical approach. Analytical conditions are derived for the existence of stable period-1 and period-2 orbits within the third quadrant of the parameter space defined by slope coefficients a<0 and b<0. The coexistence of multiple attractors is demonstrated. We also show that a novel class of orbits exists in which both points lie entirely in either the left or right domain. These orbits are shown to eventually exhibit periodic behavior, and a closed-form expression is derived to compute the number of iterations required for a trajectory to converge to such orbits. This method also enhances the ease of analyzing system stability by mapping the state–variable dynamics using a non-smooth discontinuous map. The analytical findings are validated using bifurcation diagrams, cobweb plots, and basin of attraction visualizations. Full article
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16 pages, 3189 KB  
Article
Improved Block Element Method for Simulating Rock Failure
by Yan Han, Qingwen Ren, Lei Shen and Yajuan Yin
Appl. Sci. 2025, 15(15), 8636; https://doi.org/10.3390/app15158636 - 4 Aug 2025
Viewed by 405
Abstract
As a discontinuous deformation method, the block element method (BEM) characterizes a material’s elastoplastic behavior through the constitutive relation of thin-layer elements between adjacent blocks. To realistically simulate rock damage paths, this work improves the traditional BEM by using random Voronoi polygonal grids [...] Read more.
As a discontinuous deformation method, the block element method (BEM) characterizes a material’s elastoplastic behavior through the constitutive relation of thin-layer elements between adjacent blocks. To realistically simulate rock damage paths, this work improves the traditional BEM by using random Voronoi polygonal grids for discrete modeling. This approach mitigates the distortion of damage paths caused by regular grids through the randomness of the Voronoi grids. As the innovation of this work, the iterative algorithm is combined with polygonal geometric features so that the area–perimeter fractal dimension can be introduced to optimize random Voronoi grids. The iterative control index can effectively improve the geometric characteristics of the grid while maintaining the necessary randomness. On this basis, a constitutive relation model that considers both normal and tangential damage is proposed. The entire process from damage initiation to macroscopic fracture failure in rocks is described using two independent damage surfaces and a damage relationship based on geometric mapping relationships. The analysis results are in good agreement with existing experimental data. Furthermore, the sensitivity method is used to analyze the influence of key mechanical parameters in the constitutive model. Full article
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24 pages, 90648 KB  
Article
An Image Encryption Method Based on a Two-Dimensional Cross-Coupled Chaotic System
by Caiwen Chen, Tianxiu Lu and Boxu Yan
Symmetry 2025, 17(8), 1221; https://doi.org/10.3390/sym17081221 - 2 Aug 2025
Cited by 1 | Viewed by 636
Abstract
Chaotic systems have demonstrated significant potential in the field of image encryption due to their extreme sensitivity to initial conditions, inherent unpredictability, and pseudo-random behavior. However, existing chaos-based encryption schemes still face several limitations, including narrow chaotic regions, discontinuous chaotic ranges, uneven trajectory [...] Read more.
Chaotic systems have demonstrated significant potential in the field of image encryption due to their extreme sensitivity to initial conditions, inherent unpredictability, and pseudo-random behavior. However, existing chaos-based encryption schemes still face several limitations, including narrow chaotic regions, discontinuous chaotic ranges, uneven trajectory distributions, and fixed pixel processing sequences. These issues substantially hinder the security and efficiency of such algorithms. To address these challenges, this paper proposes a novel hyperchaotic map, termed the two-dimensional cross-coupled chaotic map (2D-CFCM), derived from a newly designed 2D cross-coupled chaotic system. The proposed 2D-CFCM exhibits enhanced randomness, greater sensitivity to initial values, a broader chaotic region, and a more uniform trajectory distribution, thereby offering stronger security guarantees for image encryption applications. Based on the 2D-CFCM, an innovative image encryption method was further developed, incorporating efficient scrambling and forward and reverse random multidirectional diffusion operations with symmetrical properties. Through simulation tests on images of varying sizes and resolutions, including color images, the results demonstrate the strong security performance of the proposed method. This method has several remarkable features, including an extremely large key space (greater than 2912), extremely high key sensitivity, nearly ideal entropy value (greater than 7.997), extremely low pixel correlation (less than 0.04), and excellent resistance to differential attacks (with the average values of NPCR and UACI being 99.6050% and 33.4643%, respectively). Compared to existing encryption algorithms, the proposed method provides significantly enhanced security. Full article
(This article belongs to the Special Issue Symmetry in Chaos Theory and Applications)
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27 pages, 31172 KB  
Article
Digital Twin for Analog Mars Missions: Investigating Local Positioning Alternatives for GNSS-Denied Environments
by Benjamin Reimeir, Amelie Leininger, Raimund Edlinger, Andreas Nüchter and Gernot Grömer
Sensors 2025, 25(15), 4615; https://doi.org/10.3390/s25154615 - 25 Jul 2025
Viewed by 904
Abstract
Future planetary exploration missions will rely heavily on efficient human–robot interaction to ensure astronaut safety and maximize scientific return. In this context, digital twins offer a promising tool for planning, simulating, and optimizing extravehicular activities. This study presents the development and evaluation of [...] Read more.
Future planetary exploration missions will rely heavily on efficient human–robot interaction to ensure astronaut safety and maximize scientific return. In this context, digital twins offer a promising tool for planning, simulating, and optimizing extravehicular activities. This study presents the development and evaluation of a digital twin for the AMADEE-24 analog Mars mission, organized by the Austrian Space Forum and conducted in Armenia in March 2024. Alternative local positioning methods were evaluated to enhance the system’s utility in Global Navigation Satellite System (GNSS)-denied environments. The digital twin integrates telemetry from the Aouda space suit simulators, inertial measurement unit motion capture (IMU-MoCap), and sensor data from the Intuitive Rover Operation and Collecting Samples (iROCS) rover. All nine experiment runs were reconstructed successfully by the developed digital twin. A comparative analysis of localization methods found that Simultaneous Localization and Mapping (SLAM)-based rover positioning and IMU-MoCap localization of the astronaut matched Global Positioning System (GPS) performance. Adaptive Cluster Detection showed significantly higher deviations compared to the previous GNSS alternatives. However, the IMU-MoCap method was limited by discontinuous segment-wise measurements, which required intermittent GPS recalibration. Despite these limitations, the results highlight the potential of alternative localization techniques for digital twin integration. Full article
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