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Search Results (2,844)

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24 pages, 8059 KiB  
Article
MMRAD-Net: A Multi-Scale Model for Precise Building Extraction from High-Resolution Remote Sensing Imagery with DSM Integration
by Yu Gao, Huiming Chai and Xiaolei Lv
Remote Sens. 2025, 17(6), 952; https://doi.org/10.3390/rs17060952 - 7 Mar 2025
Viewed by 113
Abstract
High-resolution remote sensing imagery (HRRSI) presents significant challenges for building extraction tasks due to its complex terrain structures, multi-scale features, and rich spectral and geometric information. Traditional methods often face limitations in effectively integrating multi-scale features while maintaining a balance between detailed and [...] Read more.
High-resolution remote sensing imagery (HRRSI) presents significant challenges for building extraction tasks due to its complex terrain structures, multi-scale features, and rich spectral and geometric information. Traditional methods often face limitations in effectively integrating multi-scale features while maintaining a balance between detailed and global semantic information. To address these challenges, this paper proposes an innovative deep learning network, Multi-Source Multi-Scale Residual Attention Network (MMRAD-Net). This model is built upon the classical encoder–decoder framework and introduces two key components: the GCN OA-SWinT Dense Module (GSTDM) and the Res DualAttention Dense Fusion Block (R-DDFB). Additionally, it incorporates Digital Surface Model (DSM) data, presenting a novel feature extraction and fusion strategy. Specifically, the model enhances building extraction accuracy and robustness through hierarchical feature modeling and a refined cross-scale fusion mechanism, while effectively preserving both detail information and global semantic relationships. Furthermore, we propose a Hybrid Loss, which combines Binary Cross-Entropy Loss (BCE Loss), Dice Loss, and an edge-sensitive term to further improve the precision of building edges and foreground reconstruction capabilities. Experiments conducted on the GF-7 and WHU datasets validate the performance of MMRAD-Net, demonstrating its superiority over traditional methods in boundary handling, detail recovery, and adaptability to complex scenes. On the GF-7 Dataset, MMRAD-Net achieved an F1-score of 91.12% and an IoU of 83.01%. On the WHU Building Dataset, the F1-score and IoU were 94.04% and 88.99%, respectively. Ablation studies and transfer learning experiments further confirm the rationality of the model design and its strong generalization ability. These results highlight that innovations in multi-source data fusion, multi-scale feature modeling, and detailed feature fusion mechanisms have enhanced the accuracy and robustness of building extraction. Full article
17 pages, 11964 KiB  
Article
Effects of Heat Treatment on Microstructures and Corrosion Properties of AlxCrFeNi Medium-Entropy Alloy
by Pushan Guo, Yuan Pang, Qingke Zhang, Lijing Yang, Zhenlun Song and Yi Zhang
Metals 2025, 15(3), 292; https://doi.org/10.3390/met15030292 - 7 Mar 2025
Viewed by 54
Abstract
This study designed AlxCrFeNi (x = 0.8, 1.0, 1.2) medium-entropy alloys featuring a BCC + B2 dual-phase structure to systematically investigate the effects of Al content variation and heat treatment on microstructure evolution and corrosion behavior. Microstructural characterization revealed that [...] Read more.
This study designed AlxCrFeNi (x = 0.8, 1.0, 1.2) medium-entropy alloys featuring a BCC + B2 dual-phase structure to systematically investigate the effects of Al content variation and heat treatment on microstructure evolution and corrosion behavior. Microstructural characterization revealed that all investigated alloys maintained the BCC + B2 dual-phase labyrinth structure. Electrochemical tests showed that as the Al content increased, the corrosion current density and corrosion rate in a 3.5 wt% NaCl solution increased. Synergistic analysis of post-corrosion morphology (through electrochemical testing and in-situ immersion) combined with XPS analysis of the passive films revealed that the initial stage of corrosion was primarily pitting. Subsequently, due to the loose and porous Al2O3 passive layer formed by the NiAl-rich phase, which was easily attacked by Cl ions, the corrosion progressed into selective corrosion of the NiAl phase. Notably, heat treatment at 1000 °C induced microstructural refinement with enhanced coupling between chunky and labyrinth structures, resulting in improved corrosion resistance despite a 4–6% reduction in Vickers hardness due to elemental homogenization. Among the investigated alloys, the heat-treated Al0.8CrFeNi exhibited the most promising corrosion resistance. Full article
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Graphical abstract
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<p>The XRD pattern and partially enlarged view of (<b>a</b>) as-cast and (<b>b</b>) heat-treated Al<span class="html-italic"><sub>x</sub></span>CrFeNi Medium entropy alloys.</p>
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<p>The microstructure of (<b>a</b>) Al<sub>0.8</sub>CrFeNi, (<b>b</b>) Al<sub>1.0</sub>CrFeNi, and (<b>c</b>) Al<sub>1.2</sub>CrFeNi medium entropy alloy.</p>
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<p>Backscattered SEM images and phase elements proportion of (<b>a</b>) Al<sub>0.8</sub>CrFeNi, (<b>b</b>) Al<sub>1.0</sub>CrFeNi, and (<b>c</b>) Al<sub>1.2</sub>CrFeNi medium-entropy alloy.</p>
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<p>Potentiodynamic polarization curves of as-cast and heat-treated Al<span class="html-italic"><sub>x</sub></span>CrFeNi alloys in 3.5 wt% NaCl corrosive solution.</p>
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<p>Backscattered SEM surface morphologies of (<b>a</b>) Al<sub>0.8</sub>CrFeNi, (<b>b</b>) Al<sub>1.0</sub>CrFeNi, and (<b>c</b>) Al<sub>1.2</sub>CrFeNi medium entropy alloy after potentiodynamic polarization in 3.5 wt% NaCl corrosive solution at room temperature.</p>
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<p>In-situ immersion corrosion morphologies of the as-cast (<b>a</b>) Al<sub>0.8</sub>CrFeNi, (<b>b</b>) Al<sub>1.0</sub>CrFeNi, and (<b>c</b>) Al<sub>1.2</sub>CrFeNi medium-entropy alloy immersed in 3.5 wt% NaCl corrosive solution at room temperature for 0 d, 3 d, 7 d, and 15 d.</p>
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<p>In-situ immersion corrosion morphologies of the heat-treated (<b>a</b>) Al<sub>0.8</sub>CrFeNi, (<b>b</b>) Al<sub>1.0</sub>CrFeNi, and (<b>c</b>) Al<sub>1.2</sub>CrFeNi medium-entropy alloy immersed in 3.5 wt% NaCl corrosive solution at room temperature for 0 d, 3 d, 7 d, and 15 d.</p>
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<p>High-resolution XPS spectra of Al 2p, Cr 2p, Fe 2p, Ni 2p, C 1s, and O 1s of passive film on the surfaces of the as-cast (<b>a</b>) Al<sub>0.8</sub>CrFeNi, (<b>b</b>) Al<sub>1.0</sub>CrFeNi, and (<b>c</b>) Al<sub>1.2</sub>CrFeNi medium entropy alloy immersed in 3.5 wt% NaCl corrosive solution for 15 d.</p>
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<p>High-resolution XPS spectra of Al 2p, Cr 2p, Fe 2p, Ni 2p, C 1s, and O 1s of passive film on the surfaces of the heat-treated (<b>a</b>) Al<sub>0.8</sub>CrFeNi, (<b>b</b>) Al<sub>1.0</sub>CrFeNi, and (<b>c</b>) Al<sub>1.2</sub>CrFeNi medium-entropy alloy immersed in 3.5 wt% NaCl solution for 15 d.</p>
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<p>Schematic of the corrosion mechanism of Al<span class="html-italic"><sub>x</sub></span>CrFeNi medium-entropy alloys in 3.5 wt% NaCl corrosive solution.</p>
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13 pages, 9649 KiB  
Article
Microstructure Evolution and Mechanical Properties of Dual-Phase AlCrFe2Ni2 High-Entropy Alloy Under High-Strain-Rate Compression
by Hang Yan, Yu Wang, Xilin Gan, Yong Dong, Shichao Liu, Shougang Duan and Lingbo Mao
Materials 2025, 18(6), 1191; https://doi.org/10.3390/ma18061191 - 7 Mar 2025
Viewed by 148
Abstract
This paper investigates the effect of strain rate on the mechanical deformation and microstructural development of dual-phase AlCrFe2Ni2 high-entropy alloy during quasi-static and dynamic compression processes. It is revealed that the as-cast AlCrFe2Ni2 alloy is composed of [...] Read more.
This paper investigates the effect of strain rate on the mechanical deformation and microstructural development of dual-phase AlCrFe2Ni2 high-entropy alloy during quasi-static and dynamic compression processes. It is revealed that the as-cast AlCrFe2Ni2 alloy is composed of a mixture of FCC, disordered BCC, and ordered B2 crystal structure phases. The alloy shows excellent compressive properties under quasi-static and dynamic deformation. The yield strength exceeds 600 MPa while the compressive strength is more than 3000 MPa at the compression rates of 30% under quasi-static conditions. Under dynamic compression conditions, the ultimate compression stresses are 1522 MPa, 1816 MPa, and 1925 MPa with compression strains about 12.8%, 14.7%, and 18.2% at strain rates of 1300 s−1, 1700 s−1 and 2100 s−1, respectively. The dynamic yield strength is approximately linear with strain rate within the specified range and exhibit great sensitivity. The strong localized deformation regions (i.e., adiabatic shear bands (ASBs)) appear in dynamically deformed samples by dynamic recrystallization due to the conflicting processes of strain rate hardening and heat softening. Full article
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<p>X-ray diffraction of the as-cast AlCrFe<sub>2</sub>Ni<sub>2</sub> alloy.</p>
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<p>Microstructure of the as-cast AlCrFe<sub>2</sub>Ni<sub>2</sub> alloy: (<b>a</b>) SEM image; (<b>b</b>) the high-magnified SEM secondary electron image; (<b>c</b>) and (<b>d</b>) are magnified images of regions A and B in (<b>b</b>), respectively.</p>
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<p>(<b>a</b>) EBSD phase diagram of the as-cast AlCrFe<sub>2</sub>Ni<sub>2</sub> alloy; (<b>b</b>) EBSD inverse pole figure (IPF).</p>
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<p>(<b>a</b>,<b>d</b>) Bright-field images of the AlCrFe<sub>2</sub>Ni<sub>2</sub>; (<b>b</b>,<b>e</b>) selected area diffractions from zone axes [011] and [001], respectively; (<b>c</b>,<b>f</b>) dark-field images.</p>
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<p>TEM images of the as-cast AlCrFe<sub>2</sub>Ni<sub>2</sub> alloy: (<b>a</b>) bright-field TEM image; (<b>b</b>–<b>f</b>) the element distribution by TEM-EDS.</p>
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<p>(<b>a</b>) Static compression stress–strain curves of the AlCrFe<sub>2</sub>Ni<sub>2</sub> high-entropy alloy under quasi-statics; (<b>b</b>) dynamic compression stress–strain curves at various strain rates.</p>
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<p>The yield strength as a function of the logarithmic strain rate for the AlCrFe<sub>2</sub>Ni<sub>2</sub> high-entropy alloy.</p>
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<p>Orientation image maps with the IPF and IQ + misorientation boundary maps of the samples after high-strain compression: (<b>a</b>,<b>b</b>) at 1300 s<sup>−1</sup>; (<b>c</b>,<b>d</b>) at 2100 s<sup>−1</sup>.</p>
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<p>The work-hardening rate (WHR): d<math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">σ</mi> </mrow> </semantics></math>/d<math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">ε</mi> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">σ</mi> </mrow> </semantics></math> is the flow stress and <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">ε</mi> </mrow> </semantics></math> is the plastic strain).</p>
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20 pages, 768 KiB  
Article
Exploiting Data Distribution: A Multi-Ranking Approach
by Beata Zielosko, Kamil Jabloński and Anton Dmytrenko
Entropy 2025, 27(3), 278; https://doi.org/10.3390/e27030278 - 7 Mar 2025
Viewed by 179
Abstract
Data heterogeneity is the result of increasing data volumes, technological advances, and growing business requirements in the IT environment. It means that data comes from different sources, may be dispersed in terms of location, and may be stored in different structures and formats. [...] Read more.
Data heterogeneity is the result of increasing data volumes, technological advances, and growing business requirements in the IT environment. It means that data comes from different sources, may be dispersed in terms of location, and may be stored in different structures and formats. As a result, the management of distributed data requires special integration and analysis techniques to ensure coherent processing and a global view. Distributed learning systems often use entropy-based measures to assess the quality of local data and its impact on the global model. One important aspect of data processing is feature selection. This paper proposes a research methodology for multi-level attribute ranking construction for distributed data. The research was conducted on a publicly available dataset from the UCI Machine Learning Repository. In order to disperse the data, a table division into subtables was applied using reducts, which is a very well-known method from the rough sets theory. So-called local rankings were constructed for local data sources using an approach based on machine learning models, i.e., the greedy algorithm for the induction of decision rules. Two types of classifiers relating to explicit and implicit knowledge representation, i.e., gradient boosting and neural networks, were used to verify the research methodology. Extensive experiments, comparisons, and analysis of the obtained results show the merit of the proposed approach. Full article
(This article belongs to the Section Signal and Data Analysis)
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<p>Framework of developed methodology.</p>
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<p>General scheme for rankings construction.</p>
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<p>Occurrence of attributes in the local rankings.</p>
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<p>Informativeness of attribute rankings.</p>
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<p>Accuracy of XGBoost on intermediate rankings with <math display="inline"><semantics> <mrow> <msub> <mi>n</mi> <mi>k</mi> </msub> <mo>−</mo> <mi>j</mi> </mrow> </semantics></math> attributes.</p>
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<p>Accuracy of MLP on intermediate rankings with <math display="inline"><semantics> <mrow> <msub> <mi>n</mi> <mi>k</mi> </msub> <mo>−</mo> <mi>j</mi> </mrow> </semantics></math> attributes.</p>
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<p>Performance of XGBoost and MPL on RG.</p>
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<p>Number of attributes in rankings with higher accuracy than global reference value.</p>
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35 pages, 7938 KiB  
Article
Network Geometry of Borsa Istanbul: Analyzing Sectoral Dynamics with Forman–Ricci Curvature
by Ömer Akgüller, Mehmet Ali Balcı, Larissa Margareta Batrancea and Lucian Gaban
Entropy 2025, 27(3), 271; https://doi.org/10.3390/e27030271 - 5 Mar 2025
Viewed by 149
Abstract
This study investigates the dynamic interdependencies among key sectors of Borsa Istanbul—industrial, services, technology, banking, and electricity—using a novel network-geometric framework. Daily closure prices from 2022 to 2024 are transformed into logarithmic returns and analyzed via a sliding window approach. In each window, [...] Read more.
This study investigates the dynamic interdependencies among key sectors of Borsa Istanbul—industrial, services, technology, banking, and electricity—using a novel network-geometric framework. Daily closure prices from 2022 to 2024 are transformed into logarithmic returns and analyzed via a sliding window approach. In each window, mutual information is computed to construct weighted networks that are filtered using Triangulated Maximally Filtered Graphs (TMFG) to isolate the most significant links. Forman–Ricci curvature is then calculated at the node level, and entropy measures over k-neighborhoods (k=1,2,3) capture the complexity of both local and global network structures. Cross-correlation, Granger causality, and transfer entropy analyses reveal that sector responses to macroeconomic shocks—such as inflation surges, interest rate hikes, and currency depreciation—vary considerably. The services sector emerges as a critical intermediary, transmitting shocks between the banking and both the industrial and technology sectors, while the electricity sector displays robust, stable interconnections. These findings demonstrate that curvature-based metrics capture nuanced network characteristics beyond traditional measures. Future work could incorporate high-frequency data to capture finer interactions and empirically compare curvature metrics with conventional indicators. Full article
(This article belongs to the Special Issue Entropy-Based Applications in Sociophysics II)
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XUSIN sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XELKT sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XUHIZ sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XUTEK sector across quartiles.</p>
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<p>Forman–Ricci curvature entropies for various <span class="html-italic">k</span>-neighborhoods of the XBANK sector across quartiles.</p>
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<p>Cross-correlation analysis with lag of Forman–Ricci curvature entropies for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> between sectors.</p>
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<p>Cross-correlation analysis with a lag of Forman–Ricci curvature entropies for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> between sectors.</p>
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<p>Cross-correlation analysis with lag of Forman–Ricci curvature entropies for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math> between sectors.</p>
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15 pages, 2560 KiB  
Article
A Multi-Objective Sensor Placement Method Considering Modal Identification Uncertainty and Damage Detection Sensitivity
by Xue-Yang Pei, Yuan Hou, Hai-Bin Huang and Jun-Xing Zheng
Buildings 2025, 15(5), 821; https://doi.org/10.3390/buildings15050821 - 5 Mar 2025
Viewed by 88
Abstract
Structural Health Monitoring relies on accurate modal identification and effective damage detection to assess structural performance and safety. However, traditional sensor placement methods struggle to balance modal identification uncertainty, which arises from limited sensor coverage and measurement noise and damage detection sensitivity, which [...] Read more.
Structural Health Monitoring relies on accurate modal identification and effective damage detection to assess structural performance and safety. However, traditional sensor placement methods struggle to balance modal identification uncertainty, which arises from limited sensor coverage and measurement noise and damage detection sensitivity, which requires sensors to be optimally positioned to capture structural stiffness variations. To address this challenge, this study proposes a multi-objective sensor placement optimization method based on the Non-Dominated Sorting Genetic Algorithm. The method introduces two key objective functions: minimizing modal identification uncertainty by leveraging Bayesian modal identification theory and information entropy and maximizing damage detection sensitivity by incorporating an entropy-based measure to quantify the uncertainty in stiffness variation estimation. By formulating the problem as Pareto-based multi-objective optimization, the method efficiently explores a trade-off between the two competing objectives and provides a diverse set of optimal sensor placement solutions. The proposed approach is validated through numerical experiments on a simply supported beam and a benchmark bridge structure, demonstrating that different optimization objectives lead to distinct sensor placement patterns. The results show that solutions prioritizing modal identification distribute sensors across the structure to improve global response estimation, while solutions favoring damage detection concentrate sensors in critical areas to enhance sensitivity. The proposed method significantly improves sensor placement strategies by offering a systematic and flexible framework for SHM applications, enabling engineers to tailor monitoring strategies based on specific structural assessment needs. Full article
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<p>Numbering of candidate sensor locations on a simply supported beam.</p>
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<p>Pareto front based on bi-objective function.</p>
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<p>Sensor placement corresponding to different pareto fronts: (<b>a</b>) Case A; (<b>b</b>) Case B; (<b>c</b>) Case C.</p>
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<p>Pareto front sensor placement for single-objective function preference: (<b>a</b>) Objective 1; (<b>b</b>) Objective 2.</p>
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<p>The bridge benchmark structure: (<b>a</b>) physical model diagram; (<b>b</b>) numbering of candidate measurement points.</p>
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<p>Pareto front based on bi-objective function.</p>
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<p>Sensor placement corresponding to different pareto fronts: (<b>a</b>) Case A; (<b>b</b>) Case B; (<b>c</b>) Case C.</p>
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<p>Pareto front sensor placement for single-objective function preference: (<b>a</b>) Objective 1; (<b>b</b>) Objective 2.</p>
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18 pages, 3903 KiB  
Article
Lossless Hyperspectral Image Compression in Comet Interceptor and Hera Missions with Restricted Bandwith
by Kasper Skog, Tomáš Kohout, Tomáš Kašpárek, Antti Penttilä, Monika Wolfmayr and Jaan Praks
Remote Sens. 2025, 17(5), 899; https://doi.org/10.3390/rs17050899 - 4 Mar 2025
Viewed by 163
Abstract
Lossless image compression is vital for missions with limited data transmission bandwidth. Reducing file sizes enables faster transmission and increased scientific gains from transient events. This study compares two wavelet-based image compression algorithms, CCSDS 122.0 and JPEG 2000, used in the European Space [...] Read more.
Lossless image compression is vital for missions with limited data transmission bandwidth. Reducing file sizes enables faster transmission and increased scientific gains from transient events. This study compares two wavelet-based image compression algorithms, CCSDS 122.0 and JPEG 2000, used in the European Space Agency Comet Interceptor and Hera missions, respectively, in varying scenarios. The JPEG 2000 implementation is sourced from the JasPer library, whereas a custom implementation was written for CCSDS 122.0. The performance analysis for both algorithms consists of compressing simulated asteroid images in the visible and near-infrared spectral ranges. In addition, all test images were noise-filtered to study the effect of the amount of noise on both compression ratio and speed. The study finds that JPEG 2000 achieves consistently higher compression ratios and benefits from decreased noise more than CCSDS 122.0. However, CCSDS 122.0 produces comparable results faster than JPEG 2000 and is substantially less computationally complex. On the contrary, JPEG 2000 allows dynamic (entropy-permitting) reduction in the bit depth of internal data structures to 8 bits, halving the memory allocation, while CCSDS 122.0 always works in 16-bit mode. These results contribute valuable knowledge to the behavioral characteristics of both algorithms and provide insight for entities planning on using either algorithm on board planetary missions. Full article
(This article belongs to the Section Remote Sensing Image Processing)
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<p>The OPIC (<b>left</b>) and EnVisS (<b>right</b>) cameras of the Comet Interceptor mission, modified [<a href="#B1-remotesensing-17-00899" class="html-bibr">1</a>].</p>
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<p>ASPECT camera of the Hera mission.</p>
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<p>A flowchart of the simulated data set creation. The software consists of three parts and the second and third part take the output of the previous part as input, together with additional parameters. Python version used is 3.10, Blender 3.6, and AIS 0.9.</p>
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<p>Simulated test images indexed with their corresponding simulation parameters.</p>
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<p>Differential encoding of a hyperspectral datacube example. First wavelength compressed normally (<b>left</b>) and subsequent differentially encoded wavelengths (<b>middle</b>) and (<b>right</b>).</p>
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<p>Images used to find edge cases in the CCSDS 122.0 image compression algorithm. From left to right: white noise, pure black, smooth gradient and vertical stripes.</p>
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<p>NIR Image 1 with 40 ms exposure time (<b>top left</b>), NIR image 1 noiseless (<b>top right</b>) and the difference between noisy and noiseless (<b>bottom</b>).</p>
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<p>Example of the compression ratio plots for indexed Vis and NIR images (<b>bottom</b>) with three exposure times per image: 5 ms, 10 ms and 20 ms for Vis (<b>top left</b>) and 10 ms, 20 ms and 40 ms for NIR (<b>top right</b>). All images are shown with and without FORPDN filtering.</p>
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<p>Performance of the CCSDS 122.0 and JPEG 2000 compression algorithms on three exposure levels of the noiseless, noisy and filtered visible spectrum images. Filtering is performed with FORPDN, HyRes, LRMR and W3D.</p>
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<p>Performance of the CCSDS 122.0 and JPEG 2000 compression algorithms on three exposure levels of the noiseless, noisy and filtered differentially encoded visible spectrum images. Filtering is performed with FORPDN, HyRes, LRMR and W3D.</p>
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<p>The entropy of three exposure levels of noisy Vis and NIR images (<b>left</b>) and their noiseless variants (<b>right</b>).</p>
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<p>Performance of the CCSDS 122.0 and JPEG 2000 compression algorithms on three exposure levels of filtered and noisy near-infrared images. Filtering is performed with FORPDN, HyRes, LRMR and W3D.</p>
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<p>The performance of the CCSDS 122.0 and JPEG 2000 compression algorithms on three exposure levels of filtered and noisy differentially encoded near-infrared images. Filtering is performed with FORPDN, HyRes, LRMR and W3D.</p>
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21 pages, 2295 KiB  
Article
Study on the Coupling and Harmonization of Agricultural Economy, Population Development, and Ecological Environment in the Yangtze River Basin
by Pengling Liu, Caozhe Wang, Xinyi Xie and Tongwei Lu
Sustainability 2025, 17(5), 2209; https://doi.org/10.3390/su17052209 - 3 Mar 2025
Viewed by 229
Abstract
Achieving green, low-carbon, and sustainable development in the Yangtze River Basin is an important part of promoting the modernization of agriculture and rural areas. Based on the panel data of 19 provinces in the Yangtze River Basin from 2002 to 2022, this article [...] Read more.
Achieving green, low-carbon, and sustainable development in the Yangtze River Basin is an important part of promoting the modernization of agriculture and rural areas. Based on the panel data of 19 provinces in the Yangtze River Basin from 2002 to 2022, this article constructed a comprehensive evaluation system for the agricultural economy–population development–ecological environment system. By using the entropy-weighted TOPSIS method and the coupling coordination degree model, the comprehensive development level and the coupling coordination status of the agricultural economy, population development, and ecological environment system in the Yangtze River Basin were quantitatively analyzed. The results show the following: (1) The comprehensive index of the agricultural economy–population development–ecological environment system in the Yangtze River Basin shows a fluctuating upward trend, with obvious regional differences, and the comprehensive level showed a trend of gradual improvement from west to east. (2) The coupling degree of the agricultural economy–population development–ecological environment system in the Yangtze River Basin exhibits a volatile characteristic, initially increasing, then decreasing, and subsequently increasing again. Overall, the trend is moving toward a tighter coupling state. (3) The coupling degree of the agricultural economy–population development–ecological environment system in the provinces of the Yangtze River Basin shows a steadily increasing trend, yet the overall coupling coordination degree is not high and remains in a barely coordinated state. Accordingly, suggestions are put forward to optimize the economic structure, improve the population quality, adhere to ecological protection, and accelerate regional linkage so as to promote the coordinated development of economic development, population growth, and ecological protection in the basin. Full article
(This article belongs to the Special Issue Sustainable Development of Agricultural Systems)
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<p>Yangtze River Basin map.</p>
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<p>Comprehensive index of the agricultural economy–population development–ecological environment system in the Yangtze River from 2002 to 2022.</p>
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<p>Relative proximity degree of the agricultural economy–population development–ecological environment system of provinces and cities in the Yangtze River Basin in 2002, 2012, and 2022.</p>
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<p>Temporal coupling degree distribution of the agricultural economy–population development–ecological environment system in the Yangtze River Basin.</p>
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<p>Spatial coupling degree distribution of the agricultural economy–population development–ecological environment system in the Yangtze River Basin.</p>
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25 pages, 7996 KiB  
Article
Research on the Cavitation Characteristics of Pump Turbines Based on Mode Decomposition
by Jiaxing Lu, Jiarui Li, Chuan Zhang, Yuzhuo Zhou and Yanjun He
Processes 2025, 13(3), 732; https://doi.org/10.3390/pr13030732 - 3 Mar 2025
Viewed by 215
Abstract
The cavitation phenomenon significantly impacts the performance of pump turbines, necessitating in-depth research on their cavitation characteristics. This study investigates the performance characteristics of a pump turbine through experimental and numerical simulation methods, with consistent results verifying the accuracy of the numerical simulations. [...] Read more.
The cavitation phenomenon significantly impacts the performance of pump turbines, necessitating in-depth research on their cavitation characteristics. This study investigates the performance characteristics of a pump turbine through experimental and numerical simulation methods, with consistent results verifying the accuracy of the numerical simulations. The cavitation flow field is numerically analyzed to compare the cavitation distribution and velocity streamlines at different stages of cavitation development. The Q criterion and entropy production method are employed to identify vortex structures and energy loss regions, respectively, exploring the correlation between vortices and energy losses in the cavitation flow field under low-flow pump conditions. The results demonstrate that intensified cavitation generates more multi-scale vortices in the flow field, leading to increased entropy production and reduced energy efficiency. Proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) methods were subsequently applied to extract vorticity characteristics from transient cavitation flow fields, revealing primary energy loss regions and elucidating the evolution and distribution patterns of vortices. The POD analysis shows that low-order modes represent dominant vortex structures, while intensified cavitation increases both the quantity of vortices and their complexity in scale, distribution, and evolutionary frequency. The DMD results further indicate distinct evolutionary patterns for vortices of different scales. This research provides insights into the instability characteristics of cavitation flow fields in pump turbines under low-flow pump conditions and offers theoretical support for optimizing the design of pump turbines to expand their high-efficiency operational range. Full article
(This article belongs to the Special Issue CFD Applications in Renewable Energy Systems)
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<p>Model pump turbine structure diagram.</p>
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<p>Experimental technology roadmap.</p>
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<p>Calculation model and grid diagram.</p>
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<p>Calculation plane.</p>
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<p>Q-H.</p>
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<p>σ-H.</p>
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<p>The total volume of the vapor.</p>
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<p>The vapor iso-surface of 10% vapor fraction.</p>
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<p>Velocity streamline of cavitation flow field at 0.6 Q<sub>d</sub>.</p>
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<p>Velocity streamline of cavitation flow field at Q<sub>d</sub>.</p>
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<p>Distribution of vorticity and entropy production.</p>
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<p>Evolution of vortices in Plane A-1.</p>
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<p>Evolution of vortices in Plane A-2.</p>
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<p>POD mode energy contribution diagram.</p>
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<p>Time mode coefficient time and frequency diagram.</p>
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<p>The distribution of the first eight POD modes.</p>
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<p>Eigenvalue distribution.</p>
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<p>DMD frequency spectral diagram.</p>
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<p>DMD mode distribution.</p>
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31 pages, 3905 KiB  
Article
Shock Propagation and the Geometry of International Trade: The US–China Trade Bipolarity in the Light of Network Science
by Evangelos Ioannidis, Dimitrios Dadakas and Georgios Angelidis
Mathematics 2025, 13(5), 838; https://doi.org/10.3390/math13050838 - 3 Mar 2025
Viewed by 347
Abstract
What is the impact of geopolitics on the geometry of global trade? What is the key structural role that led to the emergence of the US–China trade bipolarity? Here, we study the geometry of international trade, taking into account not only the direct [...] Read more.
What is the impact of geopolitics on the geometry of global trade? What is the key structural role that led to the emergence of the US–China trade bipolarity? Here, we study the geometry of international trade, taking into account not only the direct but also the indirect trade relations. We consider the self-weight of each country as an indicator of its intrinsic robustness to exogenous shocks. We assess the vulnerability of a country to potential demand or supply shocks based on the entropy (diversification) of its trade flows. By considering the indirect trade relations, we found that the key structural role that led to the emergence of the US–China trade bipolarity is that of the intermediary hub that acts as a bridge between different trade clusters. The US and China occupied key network positions of high betweenness centrality as early as 2010. As international trade was increasingly dependent on only these two intermediary trade hubs, this fact led to geopolitical tensions such as the US–China trade war. Therefore, betweenness centrality could serve as a structural indicator, forewarning of possible upcoming geopolitical tensions. The US–China trade bipolarity is also strongly present in self-weights, where a race in terms of their intrinsic robustness to exogenous shocks is more than evident. It is also interesting that the US and China are not only the top shock spreaders but also the most susceptible to shocks. However, China can act more as a shock spreader than a shock receiver, while for the USA, the opposite is true. Regarding the impact of geopolitics, we found that the Russia–Ukraine conflict forced Ukraine to diversify both its exports and imports, aiming to lower its vulnerability to possible shocks. Finally, we found that international trade is becoming increasingly oligopolistic, even when indirect trade relationships are taken into account, thus indicating that a Deep Oligopoly has formed. Full article
(This article belongs to the Special Issue Complex Network Modeling: Theory and Applications, 2nd Edition)
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<p>Visualization of an International Trade Network (ITN) including 5 countries (a toy model) with weighted and directed links as well as self-weights, corresponding to an arbitrarily selected weight matrix. The weighted, directed links indicate the directed trade flows between the countries. Self-weights indicate domestic production minus the exports of each country.</p>
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<p>Trade dominance (degree) versus trade diversification (entropy) for the exports of the red node<math display="inline"><semantics> <mrow> <mo> </mo> <mi>i</mi> </mrow> </semantics></math>. The analogous visualization is also applicable in the case of imports. The uniform distribution of trade flows corresponds to maximal entropy. The point (.) indicates the decimal separator.</p>
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<p>Transformation of <span class="html-italic">trade flow</span> weights <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mi>i</mi> <mo>→</mo> <mi>j</mi> </mrow> </msub> </mrow> </semantics></math> to <span class="html-italic">shock resistance</span> weights <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>i</mi> <mo>→</mo> <mi>j</mi> </mrow> </msub> </mrow> </semantics></math> considering <a href="#mathematics-13-00838-t006" class="html-table">Table 6</a> in a simple network where <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>12,000</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi mathvariant="script">l</mi> <mo>=</mo> <mfenced open="&#x2308;" close="&#x2309;" separators="|"> <mrow> <mrow> <mrow> <msub> <mrow> <mi mathvariant="normal">log</mi> </mrow> <mrow> <mn>10</mn> </mrow> </msub> </mrow> <mo>⁡</mo> <mrow> <mfenced separators="|"> <mrow> <mn>12,000</mn> </mrow> </mfenced> </mrow> </mrow> </mrow> </mfenced> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math>. The initial shock hits country A (red node), which propagates the shock to country B (blue node) through <span class="html-italic">direct</span> and <span class="html-italic">indirect</span> trade lines. The <span class="html-italic">lengths</span> of all directed paths are presented in <a href="#mathematics-13-00838-t007" class="html-table">Table 7</a>.</p>
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<p>(<b>a</b>) Countries with high degree-out (dominant exporters). (<b>b</b>) Countries with high degree-in (dominant importers). (<b>c</b>) Countries with high trade surplus (export-oriented countries). (<b>d</b>) Countries with high trade deficit (import-dependent countries). The comma (,) indicates the thousands separator.</p>
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<p>(<b>a</b>) Countries with high entropy-out (diversified exporters). (<b>b</b>) Countries with high entropy-in (diversified importers). The point (.) indicates the decimal separator.</p>
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<p>(<b>a</b>) Countries with high closeness-out (close exporters, i.e., exporters with low distance to the entire ITN). (<b>b</b>) Countries with high closeness-in (close importers, i.e., importers with low distance from the entire ITN). The point (.) indicates the decimal separator.</p>
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<p>(<b>a</b>) Countries with high betweenness (intermediary trade hubs). (<b>b</b>) Countries with high self-weights (self-reliant countries, i.e., countries with high intrinsic robustness to exogenous shocks due to their own high domestic production). For the years 2016, 2017, and 2018, data for China are not available. The comma (,) indicates the thousands separator. The point (.) indicates the decimal separator.</p>
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<p>(<b>a</b>) Total trade flow of the ITN. It assesses the trade dependence among all countries, indicating the density of the ITN. (<b>b</b>) The average path length of the ITN. It assesses the average trade distance between two countries, indicating the existence or non-existence of trade lines that act as “shortcuts” in the ITN. The comma (,) indicates the thousands separator. The point (.) indicates the decimal separator.</p>
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<p>(<b>a</b>) Degree Centralization of the ITN. It assesses the inequality of countries in terms of their trade dominance. It indicates the existence or non-existence of an oligopolistic (out) or oligopsonistic (in) structure in the ITN. (<b>b</b>) Entropy Centralization of the ITN. It assesses the inequality of countries in terms of their trade diversification. (<b>c</b>) Closeness Centralization of the ITN. It indicates the existence or non-existence of a <span class="html-italic">deep</span> oligopolistic (out) or <span class="html-italic">deep</span> oligopsonistic (in) structure in the ITN. The comma (,) indicates the thousands separator.</p>
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<p>(<b>a</b>) Betweenness centralization of the ITN. It assesses the inequality of countries in terms of the role of the “intermediary trade hub”. (<b>b</b>) Self-weights centralization of the ITN. It assesses the inequality of countries in terms of their intrinsic robustness to exogenous shocks due to their own domestic production. For the years 2016, 2017, and 2018, data for China are not available. Therefore, the centralization of self-weights (<a href="#mathematics-13-00838-t012" class="html-table">Table 12</a>) is computed up to the year 2015. The comma (,) indicates the thousands separator. The point (.) indicates the decimal separator.</p>
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18 pages, 2561 KiB  
Article
Research on the Sustainable Development Level of Qinghai Province Based on the DPSIR Model
by Cheng Wang, Xiaoling Li, Yirui Liu and Liming He
Sustainability 2025, 17(5), 2169; https://doi.org/10.3390/su17052169 - 3 Mar 2025
Viewed by 297
Abstract
This study investigates the level of sustainable development, evolution patterns, and obstacles in Qinghai Province. Considering the province’s unique characteristics and ecological significance, we have established an evaluation indicator system based on the DPSIR model. The entropy weight–TOPSIS model is used to assess [...] Read more.
This study investigates the level of sustainable development, evolution patterns, and obstacles in Qinghai Province. Considering the province’s unique characteristics and ecological significance, we have established an evaluation indicator system based on the DPSIR model. The entropy weight–TOPSIS model is used to assess the overall sustainability of Qinghai from 2008 to 2022. The grey GM(1,1) model is used to predict future sustainability trends, while the coupling coordination model quantifies the degree of coordination among subsystems. Furthermore, the barrier degree model is used to explore the factors hindering the improvement of Qinghai’s sustainable development. (1) The study finds that Qinghai’s overall sustainable development has shown a fluctuating upward trend, increasing from a weaker phase in 2008 to a stronger phase in 2022. All five subsystems in the sustainability evaluation system have shown gradual improvements in their index scores. This suggests that Qinghai’s sustainability level is expected to continue improving in the future. (2) From 2008 to 2022, the highest barrier degrees were observed in the pressure and state systems, with the barrier degrees of other systems gradually decreasing. Nine main factors, including the number of students in higher education, urban unemployment rate at year-end, and input–output ratio, have been identified as the obstacles to improving the province’s sustainable development level. (3) The coupling coordination degree of the five subsystems has shown a positive development trend, progressing through three stages: mild imbalance, basic coordination, and good coordination. The coordination type has shifted from deterioration to improvement. To achieve high-level sustainable development in Qinghai, leveraging the province’s advantageous environmental resources is crucial. Strengthening ecological protection, optimizing the industrial structure, accelerating urbanization, and emphasizing science and education are key pathways for Qinghai’s future development. Full article
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<p>Changes in the comprehensive score of sustainable development in Qinghai Province.</p>
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<p>Changes in sustainability scores of each system.</p>
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<p>Obstacles of each system to the level of sustainable development.</p>
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<p>The trend of the main obstacle factors of the indicator.</p>
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<p>Changes in the coupling coordination degree of subsystems from 2008 to 2022.</p>
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24 pages, 816 KiB  
Article
The Impact of Environmental Regulation on the Growth of Small and Micro Enterprises: Insights from China
by Yufen Zhong, Xingyuan Yao and Weiming Lin
Sustainability 2025, 17(5), 2118; https://doi.org/10.3390/su17052118 - 28 Feb 2025
Viewed by 248
Abstract
Small and micro enterprises (SMEs) make important contributions to economic development, innovation, and employment in every country. The increasingly strict environmental regulations have become a global trend, but the empirical literature that evaluates the impacts of environmental regulations on the SMEs’ growth based [...] Read more.
Small and micro enterprises (SMEs) make important contributions to economic development, innovation, and employment in every country. The increasingly strict environmental regulations have become a global trend, but the empirical literature that evaluates the impacts of environmental regulations on the SMEs’ growth based on their observational data is extremely rare. This study aims to investigate how city-level environmental regulations in China affect the SMEs’ growth, with a focus on identifying lag effects, heterogeneous impacts across regions/enterprise types, and the mediating roles of technological innovation and policy support, using unbalanced panel data from 2007 to 2016. Using a dynamic panel model and entropy-weighted assessment, the results show the following: (1) Stricter environmental regulations significantly impede SMEs’ growth, with this effect persisting for up to two years. Robustness tests confirm the stability of these findings. (2) Despite the overall negative impact, our analysis reveals that environmental regulations can stimulate SMEs’ growth by promoting technological innovation and increasing policy support. (3) Heterogeneity analysis shows that the regulatory effects vary by region, ownership structure, and tax status, with the most adverse impacts observed in private firms, small-scale taxpayers, and businesses outside the Yangtze River Economic Belt. These findings highlight the need for differentiated regulatory approaches to balance environmental objectives with SMEs’ growth. The study is limited by its focus on data from 2007 to 2016, not considering recent policy shifts, and may have limited generalizability to economies with decentralized environmental governance. Full article
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<p>The theoretical analytical framework of environmental regulation affecting the growth of SMEs.</p>
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<p>Statistical data on SMEs’ growth and environmental regulation intensity over time.</p>
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18 pages, 6883 KiB  
Article
New FeMoTaTiZr High-Entropy Alloy for Medical Applications
by Miguel López-Ríos, Julia Mirza-Rosca, Ileana Mariana Mates, Victor Geanta and Ionelia Voiculescu
Metals 2025, 15(3), 259; https://doi.org/10.3390/met15030259 - 27 Feb 2025
Viewed by 129
Abstract
High-entropy alloys are novel metallic materials distinguished by very special mechanical and chemical properties that are superior to classical alloys, attracting high global interest for the study and development thereof for different applications. This work presents the creation and characterisation of an FeMoTaTiZr [...] Read more.
High-entropy alloys are novel metallic materials distinguished by very special mechanical and chemical properties that are superior to classical alloys, attracting high global interest for the study and development thereof for different applications. This work presents the creation and characterisation of an FeMoTaTiZr high-entropy alloy composed of chemical constituents with relatively low biotoxicity for human use, suitable for medical tools such as surgical scissors, blades, or other cutting tools. The alloy microstructure is dendritic in an as-cast state. The chemical composition of the FeMoTaTiZr alloy micro-zone revealed that the dendrites especially contain Mo and Ta, while the inter-dendritic matrix contains a mixture of Ti, Fe, and Zr. The structural characterisation of the alloy, carried out via X-ray diffraction, shows that the main phases formed in the FeMoTaTiZr matrix are fcc (Ti7Zr3)0.2 and hcp Ti2Fe after annealing at 900 °C for 2 h, followed by water quenching. After a second heat treatment performed at 900 °C for 15 h in an argon atmosphere followed by argon flow quenching, the homogeneity of the alloy was improved, and a new compound like Fe3.2Mo2.1, Mo0.93Zr0.07, and Zr(MoO4)2 appeared. The microhardness increased over 6% after this heat treatment, from 694 to 800 HV0.5, but after the second annealing and quenching, the hardness decreased to 730 HV0.5. Additionally, a Lactate Dehydrogenase (LDH) cytotoxicity assay was performed. Mesenchymal stem cells proliferated on the new FeMoTaTiZr alloy to a confluence of 80–90% within 10 days of analysis in wells where the cells were cultured on and in the presence of the alloy. When using normal human fibroblasts (NHF), both in wells with cells cultured on metal alloys and in those without alloys, an increase in LDH activity was observed. Therefore, it can be considered that certain cytolysis phenomena (cytotoxicity) occurred because of the more intense proliferation of this cell line due to the overcrowding of the culture surface with cells. Full article
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<p>(<b>a</b>) The metallic load placed on the copper plate of the VAR equipment and (<b>b</b>) FeMoTaTiZr mini-ingots of high-entropy alloy obtained by melting in RAV.</p>
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<p>Optical images of the the FeMoTaTiZr multicomponent alloy: (<b>a</b>) before first heat treatment and (<b>b</b>) after heat treatment.</p>
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<p>SEM images of the FeMoTaTiZr multicomponent alloy: (<b>a</b>) after annealing at 900 °C for 2 h in furnace atmosphere; (<b>b</b>) after annealing at 900 °C for 15 h in argon atmosphere.</p>
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<p>Semi-quantitative composition spectra of the area integrated with elemental mapping from <a href="#metals-15-00259-f003" class="html-fig">Figure 3</a>a.</p>
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<p>Map of the distribution of the elements in the microstructure of the FeMoTaTiZr alloy in the central region after casting: (<b>a</b>) O; (<b>b</b>) Si; (<b>c</b>) Ti; (<b>d</b>) Fe; (<b>e</b>) Zr; (<b>f</b>) Mo; (<b>g</b>) Ta.</p>
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<p>X-ray diffraction diagram of the as-cast FeMoTaTiZr multicomponent alloy.</p>
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<p>X-ray diffraction spectrum of FeMoTaTiZr alloy sample heat-treated in air at 900 °C/2 h, followed by fast cooling in water.</p>
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<p>XRD results for FeMoTaTiZr alloy heat treated at 900 °C for 15 h in argon atmosphere followed by fast cooling in argon flow. The black and red lines represent the observed and calculated intensities in comparison.</p>
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<p>SEM micrograph of the FeMoTaTiZr alloy after annealing at 900 °C for 15 h.</p>
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<p>Image of secondary electrons and semi-quantitative composition of FeMoTaTiZr alloy after heat treatment at 900 °C for 15 h: (<b>a</b>) dendritic region and (<b>b</b>–<b>d</b>) interdendritic region.</p>
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<p>Viability, adhesion, and proliferation of mesenchymal stem cells isolated from bone tissue in control wells, without alloy (fluorescence 100×): (<b>a</b>) after 5 days; (<b>b</b>) after 10 days.</p>
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<p>Viability, adhesion, and proliferation of mesenchymal stem cells isolated from bone tissue in control wells with alloy (fluorescence 100×): (<b>a</b>) after 5 days; (<b>b</b>) after 10 days.</p>
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<p>Viability, adhesion, and proliferation of human fibroblast cell line upon contact with FeMoTaTiZr alloys after 10 days. (<b>a</b>) Fluorescence, 100×; (<b>b</b>) phase contrast in same observation field, 100×.</p>
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20 pages, 4360 KiB  
Article
Improvement of Terrain Entropy Calculation for Grid Digital Elevation Models Considering Spatial Structural Features
by Fangbin Zhou, Tianyi Yao, Junwei Bian and Yun Xiao
Appl. Sci. 2025, 15(5), 2577; https://doi.org/10.3390/app15052577 - 27 Feb 2025
Viewed by 169
Abstract
Existing methods for calculating terrain entropy in grid digital elevation models (DEMs) often face computational anomalies in specific topographies within small windows. To address this issue, an improved method was developed based on the Euclidean distance approach. This method was inspired by Claramunt’s [...] Read more.
Existing methods for calculating terrain entropy in grid digital elevation models (DEMs) often face computational anomalies in specific topographies within small windows. To address this issue, an improved method was developed based on the Euclidean distance approach. This method was inspired by Claramunt’s technique of weighting information entropy by the average distance between points with the same value and different values. Specifically, vectors were formed between grid points and categorized by value consistency and relative positions. Those formed between points of different values were classified by the value of the starting point as well as parallel and adjacent relationships. This comprehensive grouping strategy was integrated into distance calculations, becoming a new probability operator that accurately reflects terrain spatial characteristics. Experimental verification confirms that the method proposed aligns with the fundamental concept of entropy, yielding a regression equation of y=0.011lnx+0.463 with a coefficient of determination of 94.73%, a reliability of 44.015, and a measurement ability of 0.757. For the mixed iterative images with gradually increasing spatial disorder, their entropy values should follow a logarithmic trend. Therefore, a logarithmic function is used for fitting. A determination coefficient greater than 50% indicates that the method adheres to the original definition of entropy and is effective in capturing the increasing spatial disorder of the grid DEM. A lower reliability value suggests smoother data computation between the two iterations. A lower measurement ability value indicates slower convergence for grid DEMs with gradually increasing spatial disorder. The improved method was also tested on simulated and real DEMs, and the results showed a strong correlation between calculated terrain entropy values and terrain complexity. By effectively capturing spatial information changes, this approach overcomes the shortcoming of computational anomalies and demonstrates high reliability in terrain entropy calculation in grid DEMs. Full article
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<p>Surface scan window.</p>
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<p>DEM examples of five special terrain types in a small window: (<b>a</b>) flat terrain, (<b>b</b>) single slope, (<b>c</b>) symmetrical slope, (<b>d</b>) asymmetrical slope, and (<b>e</b>) complex terrain.</p>
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<p>Slope of DEM examples for five special terrain types: (<b>a</b>) flat terrain, (<b>b</b>) single slope, (<b>c</b>) symmetrical slope, (<b>d</b>) asymmetrical slope, and (<b>e</b>) complex terrain.</p>
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<p>Grouping rules: (<b>a</b>) equal-value points with identical relative positions, (<b>b</b>) adjacent, (<b>c</b>) parallel vectors.</p>
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<p>Partial images of the evaluation dataset. The displayed images are outputs of iterations 0 (<b>a</b>); 20 (<b>b</b>); 40 (<b>c</b>); 60 (<b>d</b>); 80 (<b>e</b>); 100 (<b>f</b>); 200 (<b>g</b>); 600 (<b>h</b>); 1000 (<b>i</b>); 2000 (<b>j</b>); 6000 (<b>k</b>); and 10,000 (<b>l</b>).</p>
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<p>Twelve simulated DEMs (30 × 30). (<b>a</b>) a flat terrain. (<b>b</b>) a simple slope. (<b>c</b>) a single peak. (<b>d</b>–<b>l</b>) terrains with increasing complexity.</p>
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<p>Twelve real DEMs (30 × 30). (<b>a</b>–<b>d</b>) terrains from flat areas. (<b>e</b>–<b>h</b>) terrains from hilly areas. (<b>i</b>–<b>l</b>) terrains from mountainous areas.</p>
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<p>Variation in terrain entropy with iterations: (<b>a</b>) Euclidean distance terrain entropy. (<b>b</b>) Slope terrain entropy.</p>
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<p>Elevation value frequency histogram. (<b>a</b>–<b>l</b>) correspond one-to-one with <a href="#applsci-15-02577-f007" class="html-fig">Figure 7</a>a–l.</p>
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25 pages, 3449 KiB  
Review
Overview of Recent Advances in Rare-Earth High-Entropy Oxides as Multifunctional Materials for Next-Gen Technology Applications
by Stjepan Šarić, Jelena Kojčinović, Dalibor Tatar and Igor Djerdj
Molecules 2025, 30(5), 1082; https://doi.org/10.3390/molecules30051082 - 27 Feb 2025
Viewed by 406
Abstract
Rare-earth high-entropy oxides are a new promising class of multifunctional materials characterized by their ability to stabilize complex, multi-cationic compositions into single-phase structures through configurational entropy. This feature enables fine-tuning structural properties such as oxygen vacancies, lattice distortions, and defect chemistry, making them [...] Read more.
Rare-earth high-entropy oxides are a new promising class of multifunctional materials characterized by their ability to stabilize complex, multi-cationic compositions into single-phase structures through configurational entropy. This feature enables fine-tuning structural properties such as oxygen vacancies, lattice distortions, and defect chemistry, making them promising for advanced technological applications. While initial research primarily focused on their catalytic performance in energy and environmental applications, recent research demonstrated their potential in optoelectronics, photoluminescent materials, and aerospace technologies. Progress in synthesis techniques has provided control over particle morphology, composition, and defect engineering, enhancing their electronic, thermal, and mechanical properties. Rare-earth high-entropy oxides exhibit tunable bandgaps, exceptional thermal stability, and superior resistance to phase degradation, which positions them as next-generation materials. Despite these advances, challenges remain in scaling up production, optimizing compositions for specific applications, and understanding the fundamental mechanisms governing their multifunctionality. This review provides a comprehensive analysis of the recent developments in rare-earth high-entropy oxides as relatively new and still underrated material of the future. Full article
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<p>Fluorite-type crystal structure of ceria-based high-entropy oxides showing the incorporation of 5 cations with similar ionic radius and oxidation state and the same coordination number into a single crystallographic position, with each cation occupying 1/5 of the position (each cation depicted in different color), while the anion remains untouched. The a, b, and c axes in the image represent the crystallographic orientation of the unit cell, as they define the three-dimensional lattice directions in the crystal structure.</p>
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<p>General scheme of a solid oxide fuel cell (SOFC).</p>
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<p>Schematic representation of the electrochemical water splitting reaction.</p>
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<p>Photoelectrochemical (PEC) performance of CLPEY, CZLPY, CZLGY, CLPEG, and CLPGY was evaluated using LSV (<b>a</b>,<b>b</b>,<b>d</b>) under lights on (red arrow) and lights off (blue arrow) (<b>a</b>), photoswitching analysis (<b>c</b>), coating thickness-dependent LSV (<b>d</b>), ABPE efficiency plots (<b>e</b>), EIS (<b>f</b>), hydrogen evolution measurements (<b>g</b>,<b>h</b>), and stability testing (<b>i</b>), as reported by Nundy et al. [<a href="#B43-molecules-30-01082" class="html-bibr">43</a>].</p>
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<p>Schematic overview of CO oxidation catalysis over the oxygen vacancies formed on the surface of RE-HEOs.</p>
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<p>FTIR spectra of the gas phase over RECO GT 300 °C (RECO, RE = Y, La, Nd, Gd, Sm, C=Co, O=O<sub>3</sub>); GT, synthesis temperature) at (<b>a</b>) 25 °C, (<b>b</b>) 50 °C, and (<b>c</b>) 100 °C (0–50 min). CO and CO<sub>2</sub> concentrations from FTIR analysis over time at (<b>d</b>) 25 °C, (<b>e</b>) 50 °C, and (<b>f</b>) 100 °C, as reported by Krawczyk et al. [<a href="#B105-molecules-30-01082" class="html-bibr">105</a>].</p>
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<p>RE-HEO selectivity toward reaction products at (<b>a</b>) 21 min and (<b>b</b>) 189 min. Space–time yield for HEO catalysts of reaction products (<b>c</b>–<b>e</b>), as reported by Tatar et al. [<a href="#B22-molecules-30-01082" class="html-bibr">22</a>].</p>
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