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21 pages, 5545 KiB  
Article
ESFuse: Weak Edge Structure Perception Network for Infrared and Visible Image Fusion
by Wuyang Liu, Haishu Tan, Xiaoqi Cheng and Xiaosong Li
Electronics 2024, 13(20), 4115; https://doi.org/10.3390/electronics13204115 (registering DOI) - 18 Oct 2024
Abstract
Infrared and visible image fusion (IVIF) fully integrates the complementary features of different modal images, and the fused image provides a more comprehensive and objective interpretation of the scene compared to each source image, thus attracting extensive attention in the field of computer [...] Read more.
Infrared and visible image fusion (IVIF) fully integrates the complementary features of different modal images, and the fused image provides a more comprehensive and objective interpretation of the scene compared to each source image, thus attracting extensive attention in the field of computer vision in recent years. However, current fusion methods usually center their attention on the extraction of prominent features, falling short of adequately safeguarding subtle and diminutive structures. To address this problem, we propose an end-to-end unsupervised IVIF method (ESFuse), which effectively enhances fine edges and small structures. In particular, we introduce a two-branch head interpreter to extract features from source images of different modalities. Subsequently, these features are fed into the edge refinement module with the detail injection module (DIM) to obtain the edge detection results of the source image, improving the network’s ability to capture and retain complex details as well as global information. Finally, we implemented a multiscale feature reconstruction module to obtain the final fusion results by combining the output of the DIM with the output of the head interpreter. Extensive IVIF fusion experiments on existing publicly available datasets show that the proposed ESFuse outperforms the state-of-the-art(SOTA) methods in both subjective vision and objective evaluation, and our fusion results perform well in semantic segmentation, target detection, pose estimation and depth estimation tasks. The source code has been availabled. Full article
26 pages, 11624 KiB  
Article
Daily Light Integral and Far-Red Radiation Influence Morphology and Quality of Liners and Subsequent Flowering and Development of Petunia in Controlled Greenhouses
by Jiaqi Xia and Neil Mattson
Horticulturae 2024, 10(10), 1106; https://doi.org/10.3390/horticulturae10101106 - 18 Oct 2024
Abstract
Petunia stands as the top-selling bedding plant in the U.S., and improved lighting control in greenhouses holds the potential to reduce crop production time and optimize crop quality. This study investigated the impact of four distinct daily light integral (DLI) conditions with and [...] Read more.
Petunia stands as the top-selling bedding plant in the U.S., and improved lighting control in greenhouses holds the potential to reduce crop production time and optimize crop quality. This study investigated the impact of four distinct daily light integral (DLI) conditions with and without supplemental far-red (FR) radiation on the growth of petunia liners and subsequent development of finish plants. Two experiments were conducted in spring (9 April to 18 June 2021) and winter (28 October 2021 to 6 January 2022). Petunia cuttings were rooted in a common environment and then transferred to four greenhouse sections with different DLI treatments: 6, 9, 12, and 15 mol·m−2·d−1 for four weeks. Within each DLI condition, half of the plants were exposed to 28 μmol·m−2·s−1 supplemental FR radiation for 16 h daily (equivalent to 1.61 mol·m−2·d−1 light integral). The number of flower buds and open flowers were tracked daily. Representative liners were destructively harvested and evaluated after four weeks of lighting treatments. The remaining plants were transplanted and moved to a common DLI condition of 15 mol·m−2·d−1 for an additional three weeks before being destructively harvested and evaluated as finish plants. The primary finding reveals the promoting effect of DLI on flowering, branching, morphology, and biomass accumulation of petunia liners, with many effects persisting into the finish stage. A threshold DLI of 9 mol·m−2·d−1 was identified, as lower DLI (6 mol·m−2·d−1) resulted in extensive stem elongation, rendering the plants unmarketable. Higher DLI levels were found to be optimal in terms of flowering and morphology. Supplemental FR accelerated flowering by up to three days in the summer experiment and up to 12 days in the winter experiment. However, FR had limited impact on the number of flower buds and open flowers, branching, and shoot and root weight of the finish plants. Interactions between DLI and FR were observed on some parameters, whereby FR effects were more pronounced under lower DLI. Overall, both higher DLI and supplemental FR exhibited beneficial effects, but DLI had a more pronounced effect. Thus, DLI during petunia liner production appears more important than adding FR. This study well simulated the commercial propagation and production of petunia plants, providing practical insights for decision-making regarding lighting strategies. Full article
(This article belongs to the Special Issue Indoor Farming and Artificial Cultivation)
Show Figures

Figure 1

Figure 1
<p>Effect of daily light integral (DLI) and far-red (FR) on the percentage of petunia plants with open flowers over time. (<b>a</b>–<b>c</b>) are the results of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, from the liner stage in the summer crop cycle (Experiment 1). (<b>d</b>–<b>f</b>) are the results of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, from the finish stage in the winter crop cycle (Experiment 2). Data from the 15 mol·m<sup>−2</sup>·d<sup>−1</sup> DLI condition in the winter crop cycle were not collectable due to greenhouse technical issues. Numbers 6, 9, 12, and 15 in the legends denote the DLI levels. The plus signs denote treatments with an additional 28 μmol·m<sup>−2</sup>·s<sup>−1</sup> FR radiation for 16 h a day. The minus signs denote treatments without additional FR radiation.</p>
Full article ">Figure 2
<p>Liners of the petunia cultivars ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’ grown under 6, 9, 12, and 15 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) without (−) and with (+) supplemental far-red (FR) radiation in the summer crop cycle (Experiment 1). The plus signs denote treatments with an additional 28 μmol·m<sup>−2</sup>·s<sup>−1</sup> FR radiation for 16 h a day. The minus signs denote treatments without additional FR radiation. Photos were taken on day 49 after sticking cuttings.</p>
Full article ">Figure 3
<p>Number of open flowers (<b>a</b>–<b>c</b>), number of flower buds (<b>d</b>–<b>f</b>), number of branches (<b>g</b>–<b>i</b>), plant height (<b>j</b>–<b>l</b>), shoot fresh weight (<b>m</b>–<b>o</b>), shoot dry weight (<b>p</b>–<b>r</b>), root fresh weight (<b>s</b>–<b>u</b>), and root dry weight (<b>v</b>–<b>x</b>) of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, at liner harvest in the summer crop cycle (Experiment 1). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>,<b>s</b>,<b>v</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>,<b>t</b>,<b>w</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>i</b>,<b>l</b>,<b>o</b>,<b>r</b>,<b>u</b>,<b>x</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, 12, and 15 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Each graph shows either a linear or quadratic model, based on the higher degree of fit.</p>
Full article ">Figure 3 Cont.
<p>Number of open flowers (<b>a</b>–<b>c</b>), number of flower buds (<b>d</b>–<b>f</b>), number of branches (<b>g</b>–<b>i</b>), plant height (<b>j</b>–<b>l</b>), shoot fresh weight (<b>m</b>–<b>o</b>), shoot dry weight (<b>p</b>–<b>r</b>), root fresh weight (<b>s</b>–<b>u</b>), and root dry weight (<b>v</b>–<b>x</b>) of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, at liner harvest in the summer crop cycle (Experiment 1). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>,<b>s</b>,<b>v</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>,<b>t</b>,<b>w</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>i</b>,<b>l</b>,<b>o</b>,<b>r</b>,<b>u</b>,<b>x</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, 12, and 15 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Each graph shows either a linear or quadratic model, based on the higher degree of fit.</p>
Full article ">Figure 4
<p>Finish plants of petunia cultivars ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’ grown under 6, 9, 12, and 15 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) without (−) and with (+) supplemental far-red (FR) radiation in the summer crop cycle (Experiment 1). The plus signs denote treatments with an additional 28 μmol·m<sup>−2</sup>·s<sup>−1</sup> FR radiation for 16 h a day during the liner stage. The minus signs denote treatments without additional FR radiation. Photos were taken on day 70 after sticking cuttings.</p>
Full article ">Figure 5
<p>Number of open flowers (<b>a</b>–<b>c</b>), number of flower buds (<b>d</b>–<b>f</b>), number of branches (<b>g</b>–<b>i</b>), plant height (<b>j</b>–<b>l</b>), canopy area (<b>m</b>–<b>o</b>), shoot fresh weight (<b>p</b>–<b>r</b>), and shoot dry weight (<b>s</b>–<b>u</b>) of ‘Bermuda Beach’, Bordeaux’, and ‘Royal Velvet’, respectively, at finish plant harvest in the summer crop cycle (Experiment 1). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>,<b>s</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>,<b>t</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>I</b>,<b>l</b>,<b>o</b>,<b>r</b>,<b>u</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, 12, and 15 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Each graph shows either a linear or quadratic model, based on the higher degree of fit.</p>
Full article ">Figure 5 Cont.
<p>Number of open flowers (<b>a</b>–<b>c</b>), number of flower buds (<b>d</b>–<b>f</b>), number of branches (<b>g</b>–<b>i</b>), plant height (<b>j</b>–<b>l</b>), canopy area (<b>m</b>–<b>o</b>), shoot fresh weight (<b>p</b>–<b>r</b>), and shoot dry weight (<b>s</b>–<b>u</b>) of ‘Bermuda Beach’, Bordeaux’, and ‘Royal Velvet’, respectively, at finish plant harvest in the summer crop cycle (Experiment 1). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>,<b>s</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>,<b>t</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>I</b>,<b>l</b>,<b>o</b>,<b>r</b>,<b>u</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, 12, and 15 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Each graph shows either a linear or quadratic model, based on the higher degree of fit.</p>
Full article ">Figure 6
<p>Finish plants of petunia cultivars ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’ grown under 6, 9, and 12 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) without (−) and with (+) supplemental far-red (FR) radiation in the winter crop cycle (Experiment 2). The plus signs denote treatments with an additional 28 μmol·m<sup>−2</sup>·s<sup>−1</sup> FR radiation for 16 h a day during the liner stage. The minus signs denote treatments without additional FR radiation. Data from the 15 mol·m<sup>−2</sup>·d<sup>−1</sup> DLI condition in the winter crop cycle were not collectable due to greenhouse technical issues. Photos were taken on day 70 after sticking cuttings.</p>
Full article ">Figure 7
<p>Number of open flowers (<b>a</b>–<b>c</b>), number of flower buds (<b>d</b>–<b>f</b>), number of branches (<b>g</b>–<b>i</b>), plant height (<b>j</b>–<b>l</b>), canopy area (<b>m</b>–<b>o</b>), shoot fresh weight (<b>p</b>–<b>r</b>), and shoot dry weight (<b>s</b>–<b>u</b>) of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, at finish plant harvest in the winter crop cycle (Experiment 2). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>,<b>s</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>,<b>t</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>I</b>,<b>l</b>,<b>o</b>,<b>r</b>,<b>u</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, and 12 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Data from the 15 mol·m<sup>−2</sup>·d<sup>−1</sup> DLI condition in the winter crop cycle were not collectable due to greenhouse technical issues.</p>
Full article ">Figure 7 Cont.
<p>Number of open flowers (<b>a</b>–<b>c</b>), number of flower buds (<b>d</b>–<b>f</b>), number of branches (<b>g</b>–<b>i</b>), plant height (<b>j</b>–<b>l</b>), canopy area (<b>m</b>–<b>o</b>), shoot fresh weight (<b>p</b>–<b>r</b>), and shoot dry weight (<b>s</b>–<b>u</b>) of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, at finish plant harvest in the winter crop cycle (Experiment 2). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>,<b>s</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>,<b>t</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>I</b>,<b>l</b>,<b>o</b>,<b>r</b>,<b>u</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, and 12 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Data from the 15 mol·m<sup>−2</sup>·d<sup>−1</sup> DLI condition in the winter crop cycle were not collectable due to greenhouse technical issues.</p>
Full article ">Figure 8
<p>Number of branches (<b>a</b>–<b>c</b>), plant height (<b>d</b>–<b>f</b>), shoot fresh weight (<b>g</b>–<b>i</b>), shoot dry weight (<b>j</b>–<b>l</b>), root fresh weight (<b>m</b>–<b>o</b>), and root dry weight (<b>p</b>–<b>r</b>) of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, at liner harvest in the winter crop cycle (Experiment 2). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>i</b>,<b>l</b>,<b>o</b>,<b>r</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, and 12 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Data from the 15 mol·m<sup>−2</sup>·d<sup>−1</sup> DLI condition in the winter crop cycle were not collectable due to greenhouse technical issues.</p>
Full article ">Figure 8 Cont.
<p>Number of branches (<b>a</b>–<b>c</b>), plant height (<b>d</b>–<b>f</b>), shoot fresh weight (<b>g</b>–<b>i</b>), shoot dry weight (<b>j</b>–<b>l</b>), root fresh weight (<b>m</b>–<b>o</b>), and root dry weight (<b>p</b>–<b>r</b>) of ‘Bermuda Beach’, ‘Bordeaux’, and ‘Royal Velvet’, respectively, at liner harvest in the winter crop cycle (Experiment 2). (<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>,<b>m</b>,<b>p</b>) are the results of ‘Bermuda Beach’. (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>,<b>n</b>,<b>q</b>) are the results of ‘Bordeaux’. (<b>c</b>,<b>f</b>,<b>i</b>,<b>l</b>,<b>o</b>,<b>r</b>) are the results of ‘Royal Velvet’. The <span class="html-italic">x</span>-axis represents 6, 9, and 12 mol·m<sup>−2</sup>·d<sup>−1</sup> daily light integral (DLI) treatments. The blue lines represent treatments without supplemental far-red (FR) radiation. The red lines represent treatments with supplemental FR radiation. Data from the 15 mol·m<sup>−2</sup>·d<sup>−1</sup> DLI condition in the winter crop cycle were not collectable due to greenhouse technical issues.</p>
Full article ">
7 pages, 3688 KiB  
Article
Ultrasound-Guided Approach to the Distal Tarsal Tunnel: Implications for Healthcare Research on the Medial Plantar Nerve, Lateral Plantar Nerve and Inferior Calcaneal Nerve (Baxter’s Nerve)
by Alejandro Fernández-Gibello, Gabriel Camuñas Nieves, Ruth Liceth Jara Pacheco, Mario Fajardo Pérez and Felice Galluccio
Healthcare 2024, 12(20), 2071; https://doi.org/10.3390/healthcare12202071 - 17 Oct 2024
Viewed by 327
Abstract
Background/Objectives: The tibial nerve, commonly misnamed the “posterior tibial nerve”, branches into four key nerves: the medial plantar, lateral plantar, inferior calcaneal (Baxter’s nerve), and medial calcaneal branches. These nerves are integral to both the sensory and motor functions of the foot. Approximately [...] Read more.
Background/Objectives: The tibial nerve, commonly misnamed the “posterior tibial nerve”, branches into four key nerves: the medial plantar, lateral plantar, inferior calcaneal (Baxter’s nerve), and medial calcaneal branches. These nerves are integral to both the sensory and motor functions of the foot. Approximately 15% of adults with foot issues experience heel pain, frequently stemming from neural origins, such as tarsal tunnel syndrome (TTS). TTS diagnosis remains challenging due to a high false negative rate in neurophysiological studies. This study aims to improve the understanding and diagnosis of distal tarsal tunnel pathology to enable more effective treatments, including platelet-rich plasma, hydrodissections, radiofrequencies, and prolotherapy. Methods: Ultrasound-guided techniques were employed to examine the distal tarsal tunnel using the Heimkes triangle for optimal probe placement. Results: The results indicate that the tunnel consists of two chambers separated by the interfascicular septum, housing the medial, lateral plantar, and inferior calcaneal nerves. Successful interventions depend on precise visualization and patient positioning. This study emphasizes the importance of avoiding the calcaneus periosteum to reduce discomfort. Conclusions: Standardizing nerve involvement classification in TTS is difficult without robust neurophysiological studies. The accurate targeting of nerve branches is essential for effective treatment. Full article
(This article belongs to the Special Issue Research on Podiatric Medicine and Healthcare)
Show Figures

Figure 1

Figure 1
<p>Image (<b>a</b>) shows the dissection of a tarsal tunnel in which the laciniate ligament and the proximal compartments have been removed, leaving the distal tunnel with the key structure (deep fascia of the hallux abductor) with an asterisk. Points A, B, and C show the Heimkes triangle and line A-B shows the area where the ultrasound probe is to be positioned. ABDH (abductor hallucis), PF (central component of the plantar fascia), ICMS (intercompartmental medial septum), TPT (tibialis posterior tendon), FDLT (flexor digitorum longus tendon), 1 (medial plantar nerve), 2 (lateral plantar nerve), 3 (Baxter’s nerve), 4 (medial calcaneal branch). (<b>b</b>) shows a cranio-caudal view of the distal tarsal tunnel and its two chambers, the superior and inferior, separated by the interfascicular septum (red asterisk) and covered by the deep fascia of the ABDH (black asterisk).</p>
Full article ">Figure 1 Cont.
<p>Image (<b>a</b>) shows the dissection of a tarsal tunnel in which the laciniate ligament and the proximal compartments have been removed, leaving the distal tunnel with the key structure (deep fascia of the hallux abductor) with an asterisk. Points A, B, and C show the Heimkes triangle and line A-B shows the area where the ultrasound probe is to be positioned. ABDH (abductor hallucis), PF (central component of the plantar fascia), ICMS (intercompartmental medial septum), TPT (tibialis posterior tendon), FDLT (flexor digitorum longus tendon), 1 (medial plantar nerve), 2 (lateral plantar nerve), 3 (Baxter’s nerve), 4 (medial calcaneal branch). (<b>b</b>) shows a cranio-caudal view of the distal tarsal tunnel and its two chambers, the superior and inferior, separated by the interfascicular septum (red asterisk) and covered by the deep fascia of the ABDH (black asterisk).</p>
Full article ">Figure 2
<p>In image (<b>a</b>), you can see the illustrated version of the ultrasound in image (<b>b</b>), where we find the ABDH (abductor hallucis), the mpn (medial plantar nerve) in the upper chamber, the lpn (lateral plantar nerve) and bn (Baxter’s nerve) in the inferior chamber with the quadratus plantar (QP) in the deepest aspect, sonographically speaking, or lateral in the anatomical sense. Delimiting these structures, we find the deep fascia of the ABDH (white asterisk) and the interfascicular septum (red asterisk) both forming an “italic t”. Finally, in image (<b>c</b>), we have a coronal section of the foot and ankle where the distal tarsal tunnel is shown in a black box, and in red circles, the compression points 1 and 2 of Baxter’s nerve, of which we have only treated 1, since this is typical of the distal tarsal tunnel.</p>
Full article ">Figure 3
<p>(<b>a</b>) shows the proximal–distal approach to the medial plantar nerve in the upper chamber, while (<b>b</b>) shows the lateral plantar nerve, and (<b>c</b>) illustrates Baxter’s nerve in the lower chamber. The asterisk shows the location of the medial plantar nerve, lateral plantar nerve, and inferior calcaneal nerve in images (<b>a</b>–<b>c</b>), FHLT (Flexor hallucis longus tendon).</p>
Full article ">
19 pages, 2027 KiB  
Article
T-Smade: A Two-Stage Smart Detector for Evasive Spectre Attacks Under Various Workloads
by Jiajia Jiao, Ran Wen and Yulian Li
Electronics 2024, 13(20), 4090; https://doi.org/10.3390/electronics13204090 - 17 Oct 2024
Viewed by 302
Abstract
Evasive Spectre attacks have used additional nop or memory delay instructions to make effective hardware performance counter based detectors with lower attack detection successful rate. Interestingly, the detection performance gets worse under different workloads. For example, the attack detection successful rate is only [...] Read more.
Evasive Spectre attacks have used additional nop or memory delay instructions to make effective hardware performance counter based detectors with lower attack detection successful rate. Interestingly, the detection performance gets worse under different workloads. For example, the attack detection successful rate is only 59.8% for realistic applications, while it is much lower 27.52% for memory stress test. Therefore, this paper proposes a two-stage smart detector T-Smade designed for evasive Spectre attacks (e.g., evasive Spectre nop and evasive Spectre memory) under various workloads. T-Smade uses the first-stage detector to identify the type of workloads and then selects the appropriate second-stage detector, which uses four hardware performance counter events to characterize the high cache miss rate and low branch miss rate of Spectre attacks. More importantly, the second stage detector adds one dimension of reusing cache miss rate and branch miss rate to exploit the characteristics of various workloads to detect evasive Spectre attacks effectively. Furthermore, to achieve the good generalization for more unseen evasive Spectre attacks, the proposed classification detector T-Smade is trained by the raw data of Spectre attacks and non-attacks in different workloads using simple Multi-Layer Perception models. The comprehensive results demonstrate that T-Smade makes the average attack detection successful rate of evasive Spectre nop under different workload return from 27.52% to 95.42%, and that of evasive Spectre memory from 59.8% up to 100%. Full article
Show Figures

Figure 1

Figure 1
<p>Evasive Spectre nop and evasive Spectre memory.</p>
Full article ">Figure 2
<p>Spectre and evasive Spectre attack under different configurations.</p>
Full article ">Figure 3
<p>The framework of evasive Spectre attack detector.</p>
Full article ">Figure 4
<p>The process of selecting the appropriate second-stage detector based on the first-stage result.</p>
Full article ">Figure 5
<p>The effectiveness of T-Smade against evasive Spectre under realistic application.</p>
Full article ">Figure 6
<p>The effectiveness of T-Smade against evasive Spectre under CPU stress test.</p>
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<p>The effectiveness of T-Smade against evasive Spectre under memory stress test.</p>
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<p>3D separation plot by proposed detector T-Smade.</p>
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<p>3D separation plot comparison under varying realistic applications.</p>
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<p>The accuracy loss between ideal detector and two-stage detector.</p>
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17 pages, 5177 KiB  
Article
A Branched Convolutional Neural Network for Forecasting the Occurrence of Hazes in Paris Using Meteorological Maps with Different Characteristic Spatial Scales
by Chien Wang
Atmosphere 2024, 15(10), 1239; https://doi.org/10.3390/atmos15101239 - 17 Oct 2024
Viewed by 220
Abstract
A convolutional neural network (CNN) has been developed to forecast the occurrence of low-visibility events or hazes in the Paris area. It has been trained and validated using multi-decadal daily regional maps of many meteorological and hydrological variables alongside surface visibility observations. The [...] Read more.
A convolutional neural network (CNN) has been developed to forecast the occurrence of low-visibility events or hazes in the Paris area. It has been trained and validated using multi-decadal daily regional maps of many meteorological and hydrological variables alongside surface visibility observations. The strategy is to make the machine learn from available historical data to recognize various regional weather and hydrological regimes associated with low-visibility events. To better preserve the characteristic spatial information of input features in training, two branched architectures have recently been developed. These architectures process input features firstly through several branched CNNs with different kernel sizes to better preserve patterns with certain characteristic spatial scales. The outputs from the first part of the network are then processed by the second part, a deep non-branched CNN, to further deliver predictions. The CNNs with new architectures have been trained using data from 1975 to 2019 in a two-class (haze versus non-haze) classification mode as well as a regression mode that directly predicts the value of surface visibility. The predictions of regression have also been used to perform the two-class classification forecast using the same definition in the classification mode. This latter procedure is found to deliver a much better performance in making class-based forecasts than the direct classification machine does, primarily by reducing false alarm predictions. The branched architectures have improved the performance of the networks in the validation and also in an evaluation using the data from 2021 to 2023 that have not been used in the training and validation. Specifically, in the latter evaluation, branched machines captured 70% of the observed low-visibility events during the three-year period at Charles de Gaulle Airport. Among those predicted low-visibility events by the machines, 74% of them are true cases based on observation. Full article
(This article belongs to the Special Issue Data Analysis in Atmospheric Research)
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<p>Daily average surface visibility in km observed at Paris Charles de Gaulle Airport (CDG) since 1975. An unknown systematic switch in statistics occurred during 2000–2002 (the 25th to 27th year after 1975) that affects mostly on the results in the clear (high percentile) than haze (low percentile) days.</p>
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<p>The data domain of meteorological and hydrological input features, consisting of 96 latitudinal and 128 longitudinal grids with an increment of 0.25 degree. The red dot marks the location of Charles de Galle Airport.</p>
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<p>Diagrams of various architectures of HazeNet. Here Max represents a MaxPooling layer, Ave is an Average layer. For 2D convolutional layer, “128, 1 × 1” represents a layer with 128 filter sets and a kernel size of 1 × 1. Each convolutional layer is followed by a batch normalization layer unless otherwise indicated. The bottom part in HazeNetb and HazeNetb2 is a CNN consisting of 8-convolutional layers with 3 × 3 kernels, adopted from the last part of original HazeNet (see [<a href="#B3-atmosphere-15-01239" class="html-bibr">3</a>]). Part of the charts were drawn using visualkeras package (Gavrikov, P., 2020, <a href="https://github.com/paulgavrikov/visualkeras" target="_blank">https://github.com/paulgavrikov/visualkeras</a>; accessed on 14 October 2024).</p>
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<p>Examples of normalized maps (96 by 128 pixels) of meteorological features with different characteristic spatial scales. See <a href="#atmosphere-15-01239-t002" class="html-table">Table 2</a> for the description of plotted features.</p>
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<p>The outputs (62 by 94 pixels) of the first four filters from the second convolutional layer (6 × 6 kernel) in HazeNet. Different color scales are used for various panels to highlight their distributions.</p>
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<p>The outputs of various branches of HazeNetb just before the concatenate layer (Ref. <a href="#atmosphere-15-01239-f003" class="html-fig">Figure 3</a>), shown are those of the first filter set, each has 48 by 64 pixels. Different color scales are used for various panels to highlight their distributions.</p>
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<p>(<b>Left</b>) The outputs from the small kernel branch (input1) just before the concatenate layer of HazeNetb2, shown only the first two filter sets. (<b>Right</b>) The same but for the outputs from the large kernel (input2) branch. Each panel has 48 by 64 pixels. Different color scales are used for various panels to highlight their distributions.</p>
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<p>Dynamically calculated validation scores of statistical performance metrics with training progression in a classification training of HazeNetb. Each score point represents statistics of results calculated using the entire validation dataset. Here Acc and Loss represent the accuracy and loss in training, respectively, VAcc and VLoss the same metrics but in validation; while others are all validation scores commonly used in classification forecasting: precision, recall, and F1 score have a range of [0, 1], ETS is the equitable threat score with a range of [−1/3, 1], and HSS is the Heidke skill score ([−inf, 1]), all derived based on the so-called confusion matrix (Ref. [<a href="#B3-atmosphere-15-01239" class="html-bibr">3</a>]) for their definitions).</p>
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<p>The F1 scores of machines with different architectures obtained from the end of training session validation (last 100-epoch means). Here P25C represents the results from classification mode for events with vis. equal or lower than the 25th percentile of long-term observations, while P25 and P15 are the results from regression–classification mode, here P15 is for events with vis. equal or lower than the 15th percentile of long-term observations.</p>
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<p>The same as <a href="#atmosphere-15-01239-f009" class="html-fig">Figure 9</a> but for performance of various machines in the evaluation using data from 2021 to 2023.</p>
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<p>Evaluation results of HazeNetb2 using data from 2021 to 2023: (<b>a</b>) a scatter plot of predicted versus observed quantities of vis. in km; and (<b>b</b>) the same comparison but displayed as time series. Total number of LVD (P25) during the 3-year period is 118.</p>
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15 pages, 4552 KiB  
Article
Non-Destructive Measurement of Rice Spikelet Size Based on Panicle Structure Using Deep Learning Method
by Ruoling Deng, Weisen Liu, Haitao Liu, Qiang Liu, Jing Zhang and Mingxin Hou
Agronomy 2024, 14(10), 2398; https://doi.org/10.3390/agronomy14102398 - 17 Oct 2024
Viewed by 155
Abstract
Rice spikelet size, spikelet length and spikelet width, are very important traits directly related to a rice crop’s yield. The accurate measurement of these parameters is quite significant in research such as breeding, yield evaluation and variety improvement for rice crops. Traditional measurement [...] Read more.
Rice spikelet size, spikelet length and spikelet width, are very important traits directly related to a rice crop’s yield. The accurate measurement of these parameters is quite significant in research such as breeding, yield evaluation and variety improvement for rice crops. Traditional measurement methods still mainly rely on manual labor, which is time-consuming, labor-intensive and error-prone. In this study, a novel method, dubbed the “SSM-Method”, based on convolutional neural network and traditional image processing technology has been developed for the efficient and precise measurement of rice spikelet size parameters on rice panicle structures. Firstly, primary branch images of rice panicles were collected at the same height to build an image database. The spikelet detection model using convolutional neural network was then established for spikelet recognition and localization. Subsequently, the calibration value was obtained through traditional image processing technology. Finally, the “SSM-Method” integrated with a spikelet detection model and calibration value was developed for the automatic measurement of spikelet sizes. The performance of the developed SSM-Method was evaluated through testing 60 primary branch images. The test results showed that the root mean square error (RMSE) of spikelet length for two rice varieties (Huahang15 and Qingyang) were 0.26 mm and 0.30 mm, respectively, while the corresponding RMSE of spikelet width was 0.27 mm and 0.31 mm, respectively. The proposed algorithm can provide an effective, convenient and low-cost tool for yield evaluation and breeding research. Full article
(This article belongs to the Special Issue Advanced Machine Learning in Agriculture)
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<p>Illustration of SSM-Method.</p>
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<p>Illustration of the equipment for collecting rice panicle branch images.</p>
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<p>Samples of rice panicle branch for (<b>a</b>) Huahang 15 rice variety and (<b>b</b>) Qingyang rice variety.</p>
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<p>Spikelet annotation using LabelImg software (v4.5.3).</p>
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<p>Spikelets in special circumstances of (<b>a</b>) spikelet in slanted position, (<b>b</b>) spikelet with narrow side up and (<b>c</b>) spikelet that is mostly shaded at one end.</p>
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<p>FPN structure.</p>
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<p>Structure of spikelet detection model.</p>
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<p>Single spikelet reference object of (<b>a</b>) origin image and (<b>b</b>) pixel size of single spikelet.</p>
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<p>Flowchart for calculating pixel size per millimeter for spikelet reference object.</p>
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<p>Comparison of training result between SSM-Method, Deng et al. [<a href="#B31-agronomy-14-02398" class="html-bibr">31</a>], Model-1 and Model-2 for (<b>a</b>) loss curve and (<b>b</b>) accuracy curve.</p>
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<p>Measurement results of spikelet size based on SSM-Method for (<b>a</b>) Huahang 15 rice variety and (<b>b</b>) Qingyang rice variety.</p>
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<p>Schematic diagram of automatically filtering spikelets in special situations by the proposed method for (<b>a</b>) spikelets in slanted position and (<b>b</b>) spikelets in slanted position with narrow side up.</p>
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<p>Measurement accuracy of SSM-Method of (<b>a</b>) spikelet length of Huahang 15, (<b>b</b>) spikelet width of Huahang 15, (<b>c</b>) spikelet length of Qingyang and (<b>d</b>) spikelet width of Qingyang.</p>
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24 pages, 14015 KiB  
Article
CDP-MVS: Forest Multi-View Reconstruction with Enhanced Confidence-Guided Dynamic Domain Propagation
by Zitian Liu, Zhao Chen, Xiaoli Zhang and Shihan Cheng
Remote Sens. 2024, 16(20), 3845; https://doi.org/10.3390/rs16203845 - 16 Oct 2024
Viewed by 345
Abstract
Using multi-view images of forest plots to reconstruct dense point clouds and extract individual tree parameters enables rapid, high-precision, and cost-effective forest plot surveys. However, images captured at close range face challenges in forest reconstruction, such as unclear canopy reconstruction, prolonged reconstruction times, [...] Read more.
Using multi-view images of forest plots to reconstruct dense point clouds and extract individual tree parameters enables rapid, high-precision, and cost-effective forest plot surveys. However, images captured at close range face challenges in forest reconstruction, such as unclear canopy reconstruction, prolonged reconstruction times, insufficient accuracy, and issues with tree duplication. To address these challenges, this paper introduces a new image dataset creation process that enhances both the efficiency and quality of image acquisition. Additionally, a block-matching-based multi-view reconstruction algorithm, Forest Multi-View Reconstruction with Enhanced Confidence-Guided Dynamic Domain Propagation (CDP-MVS), is proposed. The CDP-MVS algorithm addresses the issue of canopy and sky mixing in reconstructed point clouds by segmenting the sky in the depth maps and setting its depth value to zero. Furthermore, the algorithm introduces a confidence calculation method that comprehensively evaluates multiple aspects. Moreover, CDP-MVS employs a decentralized dynamic domain propagation sampling strategy, guiding the propagation of the dynamic domain through newly defined confidence measures. Finally, this paper compares the reconstruction results and individual tree parameters of the CDP-MVS, ACMMP, and PatchMatchNet algorithms using self-collected data. Visualization results show that, compared to the other two algorithms, CDP-MVS produces the least sky noise in tree reconstructions, with the clearest and most detailed canopy branches and trunk sections. In terms of parameter metrics, CDP-MVS achieved 100% accuracy in reconstructing tree quantities across the four plots, effectively avoiding tree duplication. The accuracy of breast diameter extraction values of point clouds reconstructed by CDPMVS reached 96.27%, 90%, 90.64%, and 93.62%, respectively, in the four sample plots. The positional deviation of reconstructed trees, compared to ACMMP, was reduced by 0.37 m, 0.07 m, 0.18 m and 0.33 m, with the average distance deviation across the four plots converging within 0.25 m. In terms of reconstruction efficiency, CDP-MVS completed the reconstruction of the four plots in 1.8 to 3.1 h, reducing the average reconstruction time per plot by six minutes compared to ACMMP and by two to three times compared to PatchMatchNet. Finally, the differences in tree height accuracy among the point clouds reconstructed by the different algorithms were minimal. The experimental results demonstrate that CDP-MVS, as a multi-view reconstruction algorithm tailored for forest reconstruction, shows promising application potential and can provide valuable support for forestry surveys. Full article
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<p>Overview of the study area. (<b>A</b>) Dongsheng Bajia Country Park—poplar; (<b>B</b>) Jiufeng—pine; (<b>C</b>) Olympic Forest Park—elm; (<b>D</b>) Olympic Forest Park—ginkgo.</p>
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<p>Comparison of camera position trajectories generated by Colmap. (<b>A</b>) Filming method with two circular paths. (<b>B</b>) Filming method with a single circular path around the forest plot.</p>
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<p>Technical framework.</p>
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<p>Comparison of sparse reconstruction point clouds under two filming methods. (<b>A</b>) Single circular path around the forest plot. (<b>B</b>) Two circular paths inside and outside the forest plot.</p>
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<p>Adaptive checkerboard propagation scheme of ACMMP. (Each V-shaped region contains 7 sampling pixels, and each strip region contains 11 sampling pixels. In the figure, Circles represent pixels. The black solid circle indicates the pixel to be estimated. The yellow circle represents the sampling point. During each propagation, the depth value of the red pixel is updated by the black pixel, and vice versa.).</p>
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<p>CDP-MVS dynamic domain propagation scheme (removing the central sample points and independently sampling in eight directions. Circles represent pixels. The black solid circle indicates the pixel to be estimated. During each propagation, the depth value of the red pixel is updated by the black pixel, and vice versa.).</p>
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<p>Reprojection flowchart. (The yellow line represents the process of projecting the pixel point p of the reference image to the point q in the adjacent image. The green line represents the process of re-projecting the point q back to the reference image.).</p>
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<p>Reference image (<b>A</b>) and its binarized grayscale image with sky segmentation (<b>B</b>).</p>
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<p>CDP-MVS algorithm flowchart.</p>
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<p>PatchMatchNet propagation sampling strategy. (Circles represent pixels. The black solid circle indicates the pixel to be estimated. During each propagation, the depth value of the red pixel is updated by the black pixel, and vice versa.).</p>
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<p>Dense point clouds reconstructed for three plots using different algorithms. (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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<p>Dense point clouds reconstructed for three plots using different algorithms. (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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<p>Comparison of canopy details reconstructed by different algorithms. (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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<p>Comparison of canopy details reconstructed by different algorithms. (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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<p>Comparison of trunk details reconstructed by different algorithms. (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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<p>Comparison of trunk details reconstructed by different algorithms. (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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<p>Scatter plot comparing reconstructed tree positions with actual positions (unit: meters). (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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<p>Scatter plot comparing reconstructed tree positions with actual positions (unit: meters). (<b>a</b>) Poplar, (<b>b</b>) pine, (<b>c</b>) elm, (<b>d</b>) ginkgo. 1: CDP-MVS, 2: ACMMP, 3: PatchMatchNet.</p>
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20 pages, 3201 KiB  
Article
Dual-Branch Multimodal Fusion Network for Driver Facial Emotion Recognition
by Le Wang, Yuchen Chang and Kaiping Wang
Appl. Sci. 2024, 14(20), 9430; https://doi.org/10.3390/app14209430 - 16 Oct 2024
Viewed by 269
Abstract
In the transition to fully automated driving, the interaction between drivers and vehicles is crucial as drivers’ emotions directly influence their behavior, thereby impacting traffic safety. Currently, relying solely on a backbone based on a convolutional neural network (CNN) to extract single RGB [...] Read more.
In the transition to fully automated driving, the interaction between drivers and vehicles is crucial as drivers’ emotions directly influence their behavior, thereby impacting traffic safety. Currently, relying solely on a backbone based on a convolutional neural network (CNN) to extract single RGB modal facial features makes it difficult to capture enough semantic information. To address this issue, this paper proposes a Dual-branch Multimodal Fusion Network (DMFNet). DMFNet extracts semantic features from visible–infrared (RGB-IR) image pairs effectively capturing complementary information between two modalities and achieving a more accurate understanding of the drivers’ emotional state at a global level. However, the accuracy of facial recognition is significantly affected by variations in the drivers’ head posture and light environment. Thus, we further propose a U-Shape Reconstruction Network (URNet) to focus on enhancing and reconstructing the detailed features of RGB modes. Additionally, we design a Detail Enhancement Block (DEB) embedded in a U-shaped reconstruction network for high-frequency filtering. Compared with the original driver emotion recognition model, our method improved the accuracy by 18.77% on the DEFE++ dataset, proving the superiority of the proposed method. Full article
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<p>(<b>a</b>) The architecture of Dual-branch Multimodal Fusion Network (DMFNet). AP represents average pooling. Embedding represents an embedding layer aimed at extracting emotional features. (<b>b</b>) The architecture of the U-Shape Reconstruction Network (URNet). FCB is composed of convolution operation and Gaussian kernel; DEB is enhanced in detail by Contour Enhancement (CE) and High-frequency Filtering (HF).</p>
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<p>The architecture of the Detail Enhancement Block (DEB). (<b>a</b>,<b>b</b>) represent the convolutional layer. (<b>c</b>) Residual block. (<b>d</b>) Operator 1 uses the Sobel operator in the horizontal and vertical directions, while Operator 2 uses the Laplace operator.</p>
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<p>The dataset used in this article shows (<b>a</b>) neutral, (<b>b</b>) positive, and (<b>c</b>) negative emotions.</p>
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<p>Qualitative results of the DMFNet and other models. (<b>a</b>) Display the prediction results of neutral emotions. (<b>b</b>) Display the prediction results of positive emotions. (<b>c</b>) Display the prediction results of negative emotions. The symbol "<b>✓</b>" in the table indicates that the predicted results of this method are consistent with the original labels.</p>
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<p>Qualitative results of the DMFNet and other models. (<b>a</b>) Display the prediction results of neutral emotions. (<b>b</b>) Display the prediction results of positive emotions. (<b>c</b>) Display the prediction results of negative emotions. The symbol "<b>✓</b>" in the table indicates that the predicted results of this method are consistent with the original labels.</p>
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<p>The confusion matrix of DMFNet prediction results.</p>
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14 pages, 7835 KiB  
Article
Reproductive Biology in the Possible Last Healthy Population of Parodia rechensis (Cactaceae): Perspectives to Avoid Its Extinction
by Rafael Becker, Rosana Farias-Singer, Diego E. Gurvich, Renan Pittella, Fernando H. Calderon-Quispe, Júlia de Moraes Brandalise and Rodrigo Bustos Singer
Plants 2024, 13(20), 2890; https://doi.org/10.3390/plants13202890 (registering DOI) - 15 Oct 2024
Viewed by 454
Abstract
All 32 Brazilian species of Parodia Speg (Cactaceae) occurring in Rio Grande do Sul State are considered threatened, according to the IUCN criteria. Until 2021, Parodia rechensis (CR) was known by only two small populations. However, a new population with over 400 individuals [...] Read more.
All 32 Brazilian species of Parodia Speg (Cactaceae) occurring in Rio Grande do Sul State are considered threatened, according to the IUCN criteria. Until 2021, Parodia rechensis (CR) was known by only two small populations. However, a new population with over 400 individuals was discovered in 2021, prompting the study of its reproductive biology as a way to promote its conservation. Anthesis, breeding system, and natural pollination were studied in the field. The breeding system was studied by applying controlled pollination treatments to plants excluded from pollinators (bagged). Germination features were studied at the Seed Bank of the Porto Alegre Botanical Garden under controlled temperatures (20, 25, and 30 °C). The anthesis is diurnal and lasts for up to four days. The flowers offer pollen as the sole resource to the pollinators. The study species is unable to set fruit and seed without the agency of pollinators and has self-incompatible (unable to set fruit and seeds when pollinated with pollen of the same individual) characteristics that can considerably restrict its reproduction. Native bees of Halictidae and Apidae (Hymenoptera) are the main pollinators, with a smaller contribution of Melyridae (Coleoptera) and Syrphidae (Diptera). Natural fruit set is moderate (≤64%, per individual), but the species presents vegetative growth, producing several branches from the mother plant. Seeds showed the optimum germination rate at 20 °C and an inhibition of 75% in germinability at 30 °C. Our findings suggest the need to manage the species’ habitat to guarantee the permanency of the plants and healthy populations of pollinators as well. Our findings raise concerns about the germination and establishment of new individuals in the context of rising temperatures caused by climate change. Suggestions for the possible management of the extant populations are made. Full article
(This article belongs to the Special Issue Pollination in a Changing World)
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<p>General appearance of <span class="html-italic">Parodia rechensis</span> in its habitat. (<b>a</b>,<b>b</b>) Flowers with orange perianth elements. (<b>c</b>,<b>d</b>) Flowers with yellow perianth elements. (<b>e</b>) Plants of both phenotypes in the environment.</p>
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<p><span class="html-italic">Parodia rechensis</span> habitat. (<b>a</b>) Area of the type population discovered in 1968. (<b>b</b>) New population discovered in 2021.</p>
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<p>Average frequency of pollinator interaction with <span class="html-italic">Parodia rechensis</span> flowers at 60-min intervals.</p>
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<p>Insect pollinators in <span class="html-italic">Parodia rechensis</span>. (<b>a</b>) <span class="html-italic">Augochlora</span> sp. (Halictidae); (<b>b</b>) <span class="html-italic">Ceratina</span> sp. (Apidae); (<b>c</b>) Syrphidae; and (<b>d</b>) Melyridae.</p>
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<p>Boxplot graphics showing the variation in height (<b>a</b>–<b>c</b>), width (<b>d</b>–<b>f</b>), and number of branches (<b>g</b>–<b>i</b>) of <span class="html-italic">Parodia rechensis</span> during 12 months. In yellow is the group exposed to the sun, and in gray is the shaded group. T1: initial measurement (October/2022); T2: period between October/2022 and April/2023; T3: period between April/2023 and October/2023. Significant <span class="html-italic">p</span>-values are indicated in their respective boxplots. (ns): non-significant <span class="html-italic">p</span>-value at 5%.</p>
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<p>Temperature in Caxias do Sul, Brazil, between 1961 and 2024. Mean maximum temperature for October–January (blue); historical mean maximum temperature (orange) (INMET, 2024).</p>
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<p><span class="html-italic">Parodia rechensis</span> location. (<b>a</b>) Rio Grande do Sul state map with phytogeographic domain borders, following IBGE (Instituto Brasileiro de Geografia e Estatística). (<b>b</b>) general aspect of Mixed Ombrofilous Forest, an Atlantic Rainforest biome; (<b>c</b>) general aspect of Pampa grasslands.</p>
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27 pages, 15139 KiB  
Article
Nitrogen Level Impacts the Dynamic Changes in Nitrogen Metabolism, and Carbohydrate and Anthocyanin Biosynthesis Improves the Kernel Nutritional Quality of Purple Waxy Maize
by Wanjun Feng, Weiwei Xue, Zequn Zhao, Haoxue Wang, Zhaokang Shi, Weijie Wang, Baoguo Chen, Peng Qiu, Jianfu Xue and Min Sun
Plants 2024, 13(20), 2882; https://doi.org/10.3390/plants13202882 (registering DOI) - 15 Oct 2024
Viewed by 370
Abstract
Waxy corn is a special type of maize primarily consumed as a fresh vegetable by humans. Nitrogen (N) plays an essential role in regulating the growth progression, maturation, yield, and quality of waxy maize. A reasonable N application rate is vital for boosting [...] Read more.
Waxy corn is a special type of maize primarily consumed as a fresh vegetable by humans. Nitrogen (N) plays an essential role in regulating the growth progression, maturation, yield, and quality of waxy maize. A reasonable N application rate is vital for boosting the accumulation of both N and carbon (C) in the grains, thereby synergistically enhancing the grain quality. However, the impact of varying N levels on the dynamic changes in N metabolism, carbohydrate formation, and anthocyanin synthesis in purple waxy corn kernels, as well as the regulatory relationships among these processes, remains unclear. To explore the effects of varying N application rates on the N metabolism, carbohydrate formation, and anthocyanin synthesis in kernels during grain filling, a two-year field experiment was carried out using the purple waxy maize variety Jinnuo20 (JN20). This study examined the different N levels, specifically 0 (N0), 120 (N1), 240 (N2), and 360 (N3) kg N ha−1. The results of the analysis revealed that, for nearly all traits measured, the N application rate of N2 was the most suitable. Compared to the N0 treatment, the accumulation and content of anthocyanins, total nitrogen, soluble sugars, amylopectin, and C/N ratio in grains increased by an average of 35.62%, 11.49%, 12.84%, 23.74%, 13.00%, and 1.87% under N2 treatment over five filling stages within two years, respectively, while the harmful compound nitrite content only increased by an average of 30.2%. Correspondingly, the activities of related enzymes also significantly increased and were maintained under N2 treatment compared to N0 treatment. Regression and correlation analysis results revealed that the amount of anthocyanin accumulation was highly positively correlated with the activities of phenylalanine ammonia-lyase (PAL) and flavanone 3-hydroxylase (F3H), but negatively correlated with anthocyanidin synthase (ANS) and UDP-glycose: flavonoid-3-O-glycosyltransferase (UFGT) activity, nitrate reductase (NR), and glutamine synthetase (GS) showed significant positive correlations with the total nitrogen content and lysine content, and a significant negative correlation with nitrite, while soluble sugars were negatively with ADP-glucose pyrophosphorylase (AGPase) activity, and amylopectin content was positively correlated with the activities of soluble starch synthase (SSS), starch branching enzyme (SBE), and starch debranching enzyme (SDBE), respectively. Furthermore, there were positive or negative correlations among the detected traits. Hence, a reasonable N application rate improves purple waxy corn kernel nutritional quality by regulating N metabolism, as well as carbohydrate and anthocyanin biosynthesis. Full article
(This article belongs to the Topic Crop Ecophysiology: From Lab to Field, 2nd Volume)
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<p>Effects of N application doses on dynamic changes in anthocyanin accumulation amount (AAA) and content in grains of purple waxy maize at different days after pollination. (<b>a</b>) dynamic changes of the phenotypes of Jinnuo20 ears and kernels; (<b>b</b>) anthocyanin accumulation amount (AAA); (<b>c</b>) anthocyanin content (ANC). Different lowercase letters denote significant differences between N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes standard error based on 3 data.</p>
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<p>Relationship between anthocyanin accumulation amount (AAA), anthocyanin content (ANC), and anthocyanin-biosynthesis-related enzymes in grains of purple waxy maize on different days after pollination. ** signify significant differences at the <span class="html-italic">p</span> &lt; 0.01 levels.</p>
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<p>Effects of N application doses on the dynamic changes in the kernel N content in grains of purple waxy maize on different days after pollination. Different lowercase letters denote significant differences between N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes standard error based on 3 data.</p>
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<p>Effects of N application doses on dynamic changes in nitrite content (NC) in fresh grains of purple waxy maize at different days after pollination. Different lowercase letters denote significant differences between N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes a standard error based on 3 data.</p>
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<p>Effects of N application doses on the dynamic changes in lysine content (LC) in fresh grains of purple waxy maize at different days after pollination. Different lowercase letters denote significant differences between N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes standard error based on 3 data.</p>
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<p>Effects of N application doses on dynamic changes in nitrate reductase (NR) and glutamine synthetase (GS) activities in fresh grains of purple waxy maize at different days after pollination. ns denotes no significant difference. Different lowercase letters denote significant differences between the N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes standard error based on 3 data.</p>
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<p>Relationship between the total N content (TNC), nitrite content (NC) , and lysine content (LC) in fresh grains of purple waxy maize at different days after pollination. ** signify significant differences at <span class="html-italic">p</span> &lt; 0.01 levels.</p>
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<p>Effects of N application doses on dynamic changes of soluble sugar content (SSC) in fresh grains of purple waxy maize on different days after pollination. Different lowercase letters denote significant differences between the N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes standard error based on 3 data.</p>
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<p>Effects of N application doses on dynamic changes in amylopectin content (AC) in the fresh grains of purple waxy maize on different days after pollination. Different lowercase letters denote significant differences between the N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes a standard error based on 3 data.</p>
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<p>Effects of the N rate on the enzymatic activity of carbon metabolism in fresh grains of purple waxy maize at different days after pollination. Different lowercase letters denote significant differences between N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes standard error based on 3 data.</p>
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<p>Relationship between soluble sugar content (SSC), amylopectin content (AC) and the enzymatic activity of the carbon metabolism in fresh grains of purple waxy maize on different days after pollination. ** signify significant differences at the <span class="html-italic">p</span> &lt; 0.01 levels.</p>
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<p>Effects of the N rate on the grain C/N ratio in fresh grains of purple waxy maize on different days after pollination. Different lowercase letters denote significant differences between N rates at the <span class="html-italic">p</span> &lt; 0.05 level. The error bar denotes standard error based on 3 data.</p>
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<p>Correlation analysis of anthocyanin, N metabolism, and carbohydrate content of purple waxy maize. *, ** and *** denote significant differences at the <span class="html-italic">p</span> &lt; 0.05, <span class="html-italic">p</span> &lt; 0.01 and <span class="html-italic">p</span> &lt; 0.001 levels, respectively.</p>
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21 pages, 489 KiB  
Article
Calculation of Distribution Network PV Hosting Capacity Considering Source–Load Uncertainty and Active Management
by Tingting Lin, Guilian Wu, Sudan Lai, Hao Hu and Zhijian Hu
Electronics 2024, 13(20), 4048; https://doi.org/10.3390/electronics13204048 (registering DOI) - 15 Oct 2024
Viewed by 377
Abstract
The access of a high proportion of photovoltaic (PV) will change the energy structure of the distribution network (DN), resulting in a series of safety operation risks. This paper proposes a two-stage PV hosting capacity (PVHC) calculation model to assess the maximum PVHC, [...] Read more.
The access of a high proportion of photovoltaic (PV) will change the energy structure of the distribution network (DN), resulting in a series of safety operation risks. This paper proposes a two-stage PV hosting capacity (PVHC) calculation model to assess the maximum PVHC, considering the uncertainty and active management (AM). Firstly, we employ a robust optimization model to characterize the uncertainty of sources and loads in DN with PV and analyze the worst-case scenarios for PVHC. Subsequently, we construct a PVHC calculation model that takes into account AM, and convert the model into a mixed-integer second-order cone (MISOC) model using linearization techniques. Finally, we apply “heuristic optimization + CPLEX solver” to solve the model and introduce overvoltage and overcurrent indices to analyze the safety of the DN under PV limit access. Case studies are carried out on the IEEE 33-bus system and a practical case. Results show that (1) only the uncertainty that reduces the load or increases the output efficiency will affect PVHC; (2) for DN limited by overvoltage, AM can better improve PVHC; however, for DN limited by maximum transmission power, the effect of AM is low; (3) for most DN, SVC can improve PVHC, but the effect is modest. And network reconfiguration can significantly increase PVHC on the system with poor branch network, even reaching 150% of the original PVHC. Full article
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<p>The energy flow direction of DN. (<b>a</b>) The traditional DN. (<b>b</b>) The DN with a high proportion of PV access.</p>
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<p>DN source–load balance.</p>
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<p>PVHC model solving strategy.</p>
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<p>Bus voltage in the five typical scenarios.</p>
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<p>Branch current in the five typical scenarios.</p>
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<p>PV configuration scheme in scenario 2.</p>
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<p>Uncertainty analysis results.</p>
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<p>Topology of the practical case.</p>
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23 pages, 10938 KiB  
Article
GASSF-Net: Geometric Algebra Based Spectral-Spatial Hierarchical Fusion Network for Hyperspectral and LiDAR Image Classification
by Rui Wang, Xiaoxi Ye, Yao Huang, Ming Ju and Wei Xiang
Remote Sens. 2024, 16(20), 3825; https://doi.org/10.3390/rs16203825 - 14 Oct 2024
Viewed by 472
Abstract
The field of multi-source remote sensing observation is becoming increasingly dynamic through the integration of various remote sensing data sources. However, existing deep learning methods face challenges in differentiating between internal and external relationships and capturing fine spatial features. These models often struggle [...] Read more.
The field of multi-source remote sensing observation is becoming increasingly dynamic through the integration of various remote sensing data sources. However, existing deep learning methods face challenges in differentiating between internal and external relationships and capturing fine spatial features. These models often struggle to effectively capture comprehensive information across remote sensing data bands, and they have inherent differences in the size, structure, and physical properties of different remote sensing datasets. To address these challenges, this paper proposes a novel geometric-algebra-based spectral–spatial hierarchical fusion network (GASSF-Net), which uses geometric algebra for the first time to process multi-source remote sensing images, enabling a more holistic approach to handling these images by simultaneously leveraging the real and imaginary components of geometric algebra to express structural information. This method captures the internal and external relationships between remote sensing image features and spatial information, effectively fusing the features of different remote sensing data to improve classification accuracy. GASSF-Net uses geometric algebra (GA) to represent pixels from different bands as multivectors, thus capturing the intrinsic relationships between spectral bands while preserving spatial information. The network begins by deeply mining the spectral–spatial features of a hyperspectral image (HSI) using pairwise covariance operators. These features are then extracted through two branches: a geometric-algebra-based branch and a real-valued network branch. Additionally, the geometric-algebra-based network extracts spatial information from light detection and ranging (LiDAR) to complement the elevation data lacking in the HSI. Finally, a genetic-algorithm-based cross-fusion module is introduced to fuse the HSI and LiDAR data for improved classification. Experiments conducted on three well-known datasets, Trento, MUUFL, and Houston, demonstrate that GASSF-Net significantly outperforms traditional methods in terms of classification accuracy and model efficiency. Full article
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Graphical abstract

Graphical abstract
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<p>The flow chart structure of the method is given. Figure (<b>a</b>) illustrates the overall architecture of the proposed approach. Figure (<b>b</b>) shows the GA-CNN. Figure (<b>c</b>) shows in detail the branches of the geometric algebraic domain in the GRMF block. Figure (<b>d</b>) shows in detail the branches of the real-valued domain in the GRMF block.</p>
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<p>The detailed structure of the PEO within the MSFE block.</p>
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<p>Convolutional performance in different domains. (<b>a</b>) Real-valued convolution; in contrast, the GA convolution (<b>b</b>) has multiple cores and can perform multi-channel extraction of multi-dimensional signals.</p>
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<p>Visualisation of the Trento dataset. (<b>a</b>) False-color image for HSI. (<b>b</b>) Grayscale image for LiDAR. (<b>c</b>) Distribution of training samples. (<b>d</b>) Distribution of testing samples.</p>
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<p>Visualisation of the MUUFL dataset. (<b>a</b>) False-color image for HSI. (<b>b</b>) Grayscale image for LiDAR. (<b>c</b>) Distribution of training samples. (<b>d</b>) Distribution of testing samples.</p>
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<p>Visualisation of the Houston dataset. (<b>a</b>) False-color image for HSI. (<b>b</b>) Grayscale image for LiDAR. (<b>c</b>) Distribution of training samples. (<b>d</b>) Distribution of testing samples.</p>
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<p>Classification effects of different modes. (<b>a</b>) Trento dataset. (<b>b</b>) MUUFL dataset. (<b>c</b>) Houston dataset.</p>
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<p>Trento dataset. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>O</mi> <mi>A</mi> </mrow> </semantics></math>. (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>A</mi> <mi>A</mi> </mrow> </semantics></math>. (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>K</mi> <mi>a</mi> <mi>p</mi> <mi>p</mi> <mi>a</mi> </mrow> </semantics></math>.</p>
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<p>MUUFL dataset. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>O</mi> <mi>A</mi> </mrow> </semantics></math>. (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>A</mi> <mi>A</mi> </mrow> </semantics></math>. (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>K</mi> <mi>a</mi> <mi>p</mi> <mi>p</mi> <mi>a</mi> </mrow> </semantics></math>.</p>
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<p>Houston dataset. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>O</mi> <mi>A</mi> </mrow> </semantics></math>. (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>A</mi> <mi>A</mi> </mrow> </semantics></math>. (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>K</mi> <mi>a</mi> <mi>p</mi> <mi>p</mi> <mi>a</mi> </mrow> </semantics></math>.</p>
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<p>Visualization and classification maps for the Trento dataset. (<b>a</b>) Ground truth map. (<b>b</b>) AM<sup>3</sup>-Net (<b>c</b>) End-Net. (<b>d</b>) CCR-Net. (<b>e</b>) IP-CNN. (<b>f</b>) AMSSE-Net. (<b>g</b>) HRWN. (<b>h</b>) CALC. (<b>i</b>) Proposed.</p>
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<p>Visualization and classification maps for the MUUFL dataset. (<b>a</b>) Ground truth map. (<b>b</b>) AM<sup>3</sup>-Net. (<b>c</b>) End-Net. (<b>d</b>) CCR-Net. (<b>e</b>) IP-CNN. (<b>f</b>) AMSSE-Net. (<b>g</b>) HRWN. (<b>h</b>) CALC. (<b>i</b>) Proposed.</p>
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<p>Visualization and classification maps for the Houston dataset. (<b>a</b>) Ground truth map. (<b>b</b>) AM<sup>3</sup>-Net. (<b>c</b>) End-Net. (<b>d</b>) CCR-Net. (<b>e</b>) IP-CNN. (<b>f</b>) AMSSE-Net. (<b>g</b>) HRWN. (<b>h</b>) CALC. (<b>i</b>) Proposed.</p>
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21 pages, 9373 KiB  
Article
Multi-Source Information-Based Bearing Fault Diagnosis Using Multi-Branch Selective Fusion Deep Residual Network
by Shoucong Xiong, Leping Zhang, Yingxin Yang, Hongdi Zhou and Leilei Zhang
Sensors 2024, 24(20), 6581; https://doi.org/10.3390/s24206581 (registering DOI) - 12 Oct 2024
Viewed by 332
Abstract
Rolling bearing is the core component of industrial machines, but it is difficult for common single signal source-based fault diagnosis methods to ensure reliable results since sensor signals are vulnerable to the pollution of background noises and the attenuation of transmitted information. Recently, [...] Read more.
Rolling bearing is the core component of industrial machines, but it is difficult for common single signal source-based fault diagnosis methods to ensure reliable results since sensor signals are vulnerable to the pollution of background noises and the attenuation of transmitted information. Recently, multi-source information-based fault diagnosis methods have become popular, but the information redundancy between multiple signals is a tough problem that will negatively impact the representational capacity of deep learning algorithms and the precision of fault diagnosis methods. Besides that, the characteristics of various signals are actually different, but this problem was usually omitted by researchers, and it has potential to further improve the diagnosing performance by adaptively adjusting the feature extraction process for every input signal source. Aimed at solving the above problems, a novel model for bearing fault diagnosis called multi-branch selective fusion deep residual network is proposed in this paper. The model adopts a multi-branch structure design to enable every input signal source to have a unique feature processing channel, avoiding the information of multiple signal sources blindly coupled by convolution kernels. And in each branch, different convolution kernel sizes are assigned according to the characteristics of every input signal, fully digging the precious fault components on respective information sources. Lastly, the dropout technique is used to randomly throw out some activated neurons, alleviating the redundancy and enhancing the quality of the multiscale features extracted from different signals. The proposed method was experimentally compared with other intelligent methods on two authoritative public bearing datasets, and the experimental results prove the feasibility and superiority of the proposed model. Full article
(This article belongs to the Special Issue Anomaly Detection and Fault Diagnosis in Sensor Networks)
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<p>Global average pooling layer.</p>
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<p>A residual block.</p>
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<p>Architecture of MBSF-DRN model. “RBB” denotes the residual building block.</p>
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<p>The flowchart of the overall fault diagnosis process of the proposed MBSF-DRN.</p>
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<p>The bearing fault diagnosis test bed.</p>
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<p>Artificial bearing damages of outer race fault and inner race fault.</p>
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<p>Tendency chart of validation accuracy and loss value of MBSF-DRN in one trial.</p>
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<p>Ten trials of prediction results on experimental testing dataset.</p>
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<p>Comparison results of the MBSF-DRN between different dropout rate values.</p>
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<p>Comparison results of the MBSF-DRN between different signal sources.</p>
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<p>The confusion matrix of the MBSF-DRN model trained on different signal sources.</p>
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<p>Feature distributions of the MBSF-DRN model at the output of the dropout layer trained on (<b>a</b>) a current signal, (<b>b</b>) vibration signal, and (<b>c</b>) multi-source signals.</p>
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<p>The bearing experimental platform for simulating industrial applications.</p>
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<p>Confusion matrices of the best trials of different models on the simulated industrial dataset.</p>
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27 pages, 1446 KiB  
Article
A Graph-Refinement Algorithm to Minimize Squared Delivery Delays Using Parcel Robots
by Fabian Gnegel, Stefan Schaudt, Uwe Clausen and Armin Fügenschuh
Mathematics 2024, 12(20), 3201; https://doi.org/10.3390/math12203201 - 12 Oct 2024
Viewed by 408
Abstract
In recent years, parcel volumes have reached record highs, prompting the logistics industry to explore innovative solutions to meet growing demand. In densely populated areas, delivery robots offer a promising alternative to traditional truck-based delivery systems. These autonomous electric robots operate on sidewalks [...] Read more.
In recent years, parcel volumes have reached record highs, prompting the logistics industry to explore innovative solutions to meet growing demand. In densely populated areas, delivery robots offer a promising alternative to traditional truck-based delivery systems. These autonomous electric robots operate on sidewalks and deliver time-sensitive goods, such as express parcels, medicine and meals. However, their limited cargo capacity and battery life require a return to a depot after each delivery. This challenge can be modeled as an electric vehicle-routing problem with soft time windows and single-unit capacity constraints. The objective is to serve all customers while minimizing the quadratic sum of delivery delays and ensuring each vehicle operates within its battery limitations. To address this problem, we propose a mixed-integer quadratic programming model and introduce an enhanced formulation using a layered graph structure. For this layered graph, we present two solution approaches based on relaxations that reduce the number of nodes and arcs compared to the expanded formulation. The first approach, Iterative Refinement, solves the current relaxation to optimality and refines the graph when the solution is infeasible for the expanded formulation. This process continues until a proven optimal solution is obtained. The second approach, Branch and Refine, integrates graph refinement into a branch-and-bound framework, eliminating the need for restarts. Computational experiments on modified Solomon instances demonstrate the effectiveness of our solution approaches, with Branch and Refine consistently outperforming Iterative Refinement across all tested parameter configurations. Full article
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<p>A minimalistic example.</p>
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<p>Arrival states at some customer <span class="html-italic">j</span>.</p>
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<p>Illustrations of two TBEGs.</p>
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<p>Illustrations of two TBEGs.</p>
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<p>Computation times for different customer numbers and 3 vehicles.</p>
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<p>Computation times for different customer numbers and 10 vehicles.</p>
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<p>Computation times for different recharging rates.</p>
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<p>Computation times for different time window widths.</p>
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12 pages, 3531 KiB  
Article
Study on the Characteristics of Molten Glass in a Float Glass Process with a New Structure
by Benjun Cheng, Hao Feng, Feng Wu, Xiaocheng Liang and Mao Li
Materials 2024, 17(20), 4989; https://doi.org/10.3390/ma17204989 - 12 Oct 2024
Viewed by 407
Abstract
Glass is one of the most common materials in society, and the float glass process is the main production method of glass used at present, which involves adopting a melting furnace with a single cooler. However, this structure has been difficult to fit [...] Read more.
Glass is one of the most common materials in society, and the float glass process is the main production method of glass used at present, which involves adopting a melting furnace with a single cooler. However, this structure has been difficult to fit to the requirements of modern glass production, such as producing multiple types of glass and large-scale production. Therefore, a large-tonnage float glass melting furnace with a double cooler is studied, which is rising in popularity in the glass sector. The aim of this paper is to clarify the characteristics of the new glass furnace. A numerical simulation technique is applied to analyze the thermal and flow characteristics of molten glass in the new structure so as to clarify the feasibility of production by checking the temperature distribution and flow field of the molten glass. The results show that the new structure also exhibits flow behavior similar to the original structure in the branch line. Due to the addition of the branch line, the stability of the temperature is improved, with a 60 K and 43 K difference between the surface and bottom in the main and branch lines, respectively. Similar stability is shown in the flow field, specifically low acceleration in the cooler (0.006 m/s2). The bubble clarification time is about 2700 s, less than the 3000 s required for flow. The parameters of the branch line meet the requirements of glass production. In theory, a glass-melting furnace with a double cooler has the capacity to produce two types of glass. Full article
(This article belongs to the Section Advanced and Functional Ceramics and Glasses)
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<p>Float glass melting furnace; (<b>a</b>) single cooler and (<b>b</b>) double cooler.</p>
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<p>Liquid field of molten glass.</p>
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<p>Boundary condition of temperature.</p>
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<p>Global grids.</p>
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<p>Temperature distribution: (<b>a</b>) surface of melter, (<b>b</b>) bottom of melter, (<b>c</b>) surface of cooler, (<b>d</b>) bottom of cooler, (<b>e</b>) outlet of main line, and (<b>f</b>) outlet of branch line.</p>
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<p>The streamline of molten glass in FFDC.</p>
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<p>Vortex of XZ plane (<b>a</b>) Cycle I (<b>b</b>) Cycle II (<b>c</b>) Cycle III.</p>
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<p>The trajectory of molten glass in FFDC.</p>
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