Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (201)

Search Parameters:
Keywords = spherical robot

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
17 pages, 5323 KB  
Article
Research on Decoupling Measurement Technology for 2-DOF Angular Signals Based on Spherical Capacitive Sensors
by Shengqi Yang, Kezheng Chang, Zhipeng Zhang, Yaocheng Li, Yanfeng Liu, Zhong Li and Huiwen Wang
Sensors 2026, 26(4), 1215; https://doi.org/10.3390/s26041215 - 13 Feb 2026
Viewed by 224
Abstract
As a core functional component of multi-degree-of-freedom precision motion mechanisms, spherical hinges are widely used in high-end equipment fields such as industrial robots, vehicle engineering, and intelligent manufacturing. Their dynamic performance directly determines the motion accuracy and the level of intelligent control of [...] Read more.
As a core functional component of multi-degree-of-freedom precision motion mechanisms, spherical hinges are widely used in high-end equipment fields such as industrial robots, vehicle engineering, and intelligent manufacturing. Their dynamic performance directly determines the motion accuracy and the level of intelligent control of the equipment. The high-precision real-time measurement of two-degree-of-freedom (2-DOF) angles is a key prerequisite for achieving precise closed-loop control of spherical hinges. However, due to the strong coupling characteristics between the 2-DOF angle signals, it is difficult to directly and accurately measure the angular motion parameters of spherical hinges, which has become a core technical bottleneck restricting the improvement in their application efficiency. To address this challenge, this paper presents an improved study of the previously proposed spherical differential quadrature capacitance sensor for measuring the 2-DOF angle signals of spherical hinges. Firstly, the 2-DOF angle signal decoupling model is reconstructed and optimized. Secondly, a real-time decoupling circuit architecture for phase-shift detection with single-frequency signal excitation is innovatively proposed. This solution effectively addresses the incomplete decoupling of 2-DOF angle signals in previous studies, as well as the problems of considerable measurement noise, low resolution, and high calibration difficulty caused by random amplitude and phase errors in the excitation signals. Through the construction of an experimental platform for verification tests, the results show that the proposed scheme can significantly suppress the random errors caused by the parameter dispersion of the device, achieve an angle measurement resolution of 0.001°, and simultaneously considerably reduce the complexity of system calibration, laying a key technical foundation for the engineering application of spherical hinges in the fields of precision measurement and high-performance control. Full article
(This article belongs to the Section Physical Sensors)
Show Figures

Figure 1

13 pages, 1887 KB  
Article
Quantitative Shear Wave Elastography: A Phantom—Based Comparison of Two Ultrasound Systems
by Wadhhah Aldehani, Sarah Louise Savaridas and Luigi Manfredi
Bioengineering 2026, 13(2), 214; https://doi.org/10.3390/bioengineering13020214 - 13 Feb 2026
Viewed by 411
Abstract
To evaluate cross-platform measurement consistency and diagnostic threshold requirements in shear wave elastography (SWE), this study presents a robotically controlled, phantom-based validation framework to quantify and interpret inter-vendor variability that limits clinical standardisation. A custom-fabricated polyvinyl chloride-graphite phantom containing eight spherical inclusions (15–25 [...] Read more.
To evaluate cross-platform measurement consistency and diagnostic threshold requirements in shear wave elastography (SWE), this study presents a robotically controlled, phantom-based validation framework to quantify and interpret inter-vendor variability that limits clinical standardisation. A custom-fabricated polyvinyl chloride-graphite phantom containing eight spherical inclusions (15–25 mm diameter, 25–95 mm depth, 23.53–259.58 kPa stiffness), representing breast tissue mechanical properties, was evaluated using Samsung HS50 and Aixplorer ultrasound systems. Robotic automation standardised probe positioning and contact, eliminating operator-dependent variability and enabling direct, system-level comparison. Cross-platform reproducibility, accuracy against mechanically validated ground truth, and diagnostic threshold performance were assessed across 80 measurements. Both systems demonstrated excellent intra-machine reproducibility (coefficient of variation: Samsung 0.42%, Aixplorer 0.46%) with strong inter-machine correlation (r = 0.9951, p < 0.0001). However, systematic bias of 7.05 kPa and 95% limits of agreement spanning 38.7 kPa revealed substantial cross-platform measurement differences. All phantom inclusions (8/8) measured below their assigned ground truth stiffness on both systems, with systematic underestimation ranging from 0.33 kPa to 109.57 kPa, indicating parameter-dependent measurement distortion linked to inclusion size, depth, and stiffness. Dynamic range compression was observed (Samsung: 68.7%, Aixplorer: 59.1% of true phantom range), providing a mechanistic explanation for diagnostic threshold instability. This study contributes an interpretable validation methodology that links SWE measurement bias to physical lesion properties and imaging system characteristics, rather than relying on correlation alone. Despite strong reproducibility, the observed system-dependent bias demonstrates that SWE measurements are not directly transferable across ultrasound platforms, and system-specific collaboration is required to ensure reliable clinical interpretation. Full article
Show Figures

Graphical abstract

22 pages, 8050 KB  
Article
Model-Free Path Planning for Complex Grooves on Spherical Workpieces Based on 3D Point Clouds
by Zhongsheng Zhai, Aoxing Yi, Zhen Zeng, Xikang Xiao and Ndifreke Offiong
Appl. Sci. 2026, 16(3), 1598; https://doi.org/10.3390/app16031598 - 5 Feb 2026
Viewed by 281
Abstract
To address the precision and motion-smoothing challenges in path planning for spherical workpieces without Computer-Aided Design (CAD) models, this paper proposes a robust point-cloud-driven framework. Conventional Principal Component Analysis (PCA) alignment suffers from centroid shift errors due to asymmetric data loss from light-absorbing [...] Read more.
To address the precision and motion-smoothing challenges in path planning for spherical workpieces without Computer-Aided Design (CAD) models, this paper proposes a robust point-cloud-driven framework. Conventional Principal Component Analysis (PCA) alignment suffers from centroid shift errors due to asymmetric data loss from light-absorbing surface features. To solve this, a RANSAC-compensated hybrid PCA algorithm is developed to decouple position and orientation estimation, ensuring stable coordinate alignment despite incomplete data. Furthermore, to resolve the geometric collapse and kinematic jitter caused by traditional planar slicing in high-curvature polar regions, a spherical latitudinal equiangular conical slicing algorithm is introduced. By aligning the slicing planes with the sphere’s radial geometry, the method preserves topological accuracy while maintaining an optimal point density for smooth robotic execution. Experimental results on rubber ball groove processing demonstrate a repeat positioning accuracy of 0.09 mm and a feature coverage of 95.21%. This research provides a scientifically rigorous and computationally efficient solution for the automated processing of complex spherical surfaces. Full article
Show Figures

Figure 1

14 pages, 1255 KB  
Article
Real-Time Control of Six-DOF Serial Manipulators via Learned Spherical Kinematics
by Meher Madhu Dharmana and Pramod Sreedharan
Robotics 2026, 15(1), 27; https://doi.org/10.3390/robotics15010027 - 21 Jan 2026
Viewed by 346
Abstract
Achieving reliable and real-time inverse kinematics (IK) for 6-degree-of-freedom (6-DoF) spherical-wrist manipulators remains a significant challenge. Analytical formulations often struggle with complex geometries and modeling errors, and standard numerical solvers (e.g., Levenberg–Marquardt) can stall near singularities or converge slowly. Purely data-driven approaches may [...] Read more.
Achieving reliable and real-time inverse kinematics (IK) for 6-degree-of-freedom (6-DoF) spherical-wrist manipulators remains a significant challenge. Analytical formulations often struggle with complex geometries and modeling errors, and standard numerical solvers (e.g., Levenberg–Marquardt) can stall near singularities or converge slowly. Purely data-driven approaches may require large networks and struggle with extrapolation. In this paper, we propose a low-latency, polynomial-based IK solution for spherical-wrist robots. The method leverages spherical coordinates and low-degree polynomial fits for the first three (positional) joints, coupled with a closed-form analytical solver for the final three (wrist) joints. An iterative partial-derivative refinement adjusts the polynomial-based angle estimates using spherical-coordinate errors, ensuring near-zero final error without requiring a full Jacobian matrix. The method systematically enumerates up to eight valid IK solutions per target pose. Our experiments against Levenberg–Marquardt, damped least-squares, and an fmincon baseline show an approximate 8.1× speedup over fmincon while retaining higher accuracy and multi-branch coverage. Future extensions include enhancing robustness through uncertainty propagation, adapting the approach to non-spherical wrists, and developing criteria-based automatic solution-branch selection. Full article
(This article belongs to the Section Intelligent Robots and Mechatronics)
Show Figures

Figure 1

29 pages, 6120 KB  
Article
Bionic Technology in Prosthetics: Multi-Objective Optimization of a Bioinspired Shoulder-Elbow Prosthesis with Embedded Actuation
by Jingxu Jiang, Gengbiao Chen, Xin Wang and Hongwei Yan
Biomimetics 2026, 11(1), 79; https://doi.org/10.3390/biomimetics11010079 - 19 Jan 2026
Viewed by 542
Abstract
The development of upper-limb prostheses is often hindered by limited dexterity, a restricted workspace, and bulky designs, primarily due to performance limitations in proximal joints like the shoulder and elbow, which contribute to high user abandonment rates. To overcome these challenges, this paper [...] Read more.
The development of upper-limb prostheses is often hindered by limited dexterity, a restricted workspace, and bulky designs, primarily due to performance limitations in proximal joints like the shoulder and elbow, which contribute to high user abandonment rates. To overcome these challenges, this paper presents a novel, bioinspired, and integrated prosthetic system as an advancement in bionic technology. The design incorporates a shoulder joint based on an asymmetric 3-RRR spherical parallel mechanism (SPM) with actuators embedded within the moving platform, and an elbow joint actuated by low-voltage Shape Memory Alloy (SMA) springs. The inverse kinematics of the shoulder mechanism was established, revealing the existence of up to eight configurations. We employed Multi-Objective Particle Swarm Optimization (MOPSO) to simultaneously maximize workspace coverage, enhance dexterity, and minimize joint torque. The optimized design achieves remarkable performance: (1) 85% coverage of the natural shoulder’s workspace; (2) a maximum von Mises stress of merely 3.4 MPa under a 40 N load, ensuring structural integrity; and (3) a sub-0.2 s response time for the SMA-driven elbow under low-voltage conditions (6 V) at a motion velocity of 6°/s. Both motion simulation and prototype testing validated smooth and anthropomorphic motion trajectories. This work provides a comprehensive framework for developing lightweight, high-performance prosthetic limbs, establishing a solid foundation for next-generation wearable robotics and bionic devices. Future research will focus on the integration of neural interfaces for intuitive control. Full article
Show Figures

Figure 1

13 pages, 7015 KB  
Article
Preload-Free Conformal Integration of Tactile Sensors on the Fingertip’s Curved Surface
by Lei Liu, Peng Ran, Yongyao Li, Tian Tang, Yun Hu, Jian Xiao, Daijian Luo, Lu Dai, Yufei Liu, Jiahu Yuan and Dapeng Wei
Biomimetics 2026, 11(1), 64; https://doi.org/10.3390/biomimetics11010064 - 12 Jan 2026
Viewed by 1082
Abstract
Humans could sensitively perceive and identify objects through dense mechanoreceptors distributed on the skin of curved fingertips. Inspired by this biological structure, this study presents a general conformal integration method for flexible tactile sensors on curved fingertip surfaces. By adopting a spherical partition [...] Read more.
Humans could sensitively perceive and identify objects through dense mechanoreceptors distributed on the skin of curved fingertips. Inspired by this biological structure, this study presents a general conformal integration method for flexible tactile sensors on curved fingertip surfaces. By adopting a spherical partition design and an inverse mode auxiliary layering process, it ensures the uniform distribution of stress at different curvatures. The sensor adopts a 3 × 3 tactile array configuration, replicating the 3D curved surface distribution of human mechanoreceptors. By analyzing multi-point outputs, the sensor reconstructs contact pressure gradients and infers the softness or stiffness of touched objects, thereby realizing both structural and functional bionics. These sensors exhibit excellent linearity within 0–100 kPa (sensitivity ≈ 36.86 kPa−1), fast response (2 ms), and outstanding durability (signal decay of only 1.94% after 30,000 cycles). It is worth noting that this conformal tactile fingertip integration method not only exhibits uniform responses at each unit, but also has the preload-free advantage, and then performs well in pulse detection and hardness discrimination. This work provides a novel bioinspired pathway for conformal integration of tactile sensors, enabling artificial skins and robotic fingertips with human-like tactile perception. Full article
(This article belongs to the Special Issue Bionic Engineering Materials and Structural Design)
Show Figures

Graphical abstract

22 pages, 6841 KB  
Article
Constraint-Aware Design of Spherical Camera Rigs for Optical Metrology
by Haider Ali Hasan, Ali Noori Abdulrasool, Hadeel Raad Mahdi and Bashar Alsadik
Metrology 2026, 6(1), 2; https://doi.org/10.3390/metrology6010002 - 7 Jan 2026
Viewed by 439
Abstract
This paper introduces a constraint-aware optimization framework for designing spherical multi-camera rigs that achieve complete panorama coverage while adhering to physical and field-of-view limitations. The approach assesses coverage using solid-angle geometry and calculates the sampling density in pixels per steradian, providing a measurable, [...] Read more.
This paper introduces a constraint-aware optimization framework for designing spherical multi-camera rigs that achieve complete panorama coverage while adhering to physical and field-of-view limitations. The approach assesses coverage using solid-angle geometry and calculates the sampling density in pixels per steradian, providing a measurable, traceable basis for panoramic optical measurement. By viewing panoramic imaging as a directional measurement challenge, the framework aligns with principles of optical metrology and guarantees uniform, non-contact optical sensing around the sphere. The optimization process includes capsule-based collision constraints, soft coverage losses, and field-of-view intersection modeling to produce physically feasible rig configurations. Experiments show that the optimized rigs provide improved coverage uniformity and less redundancy, with validation through Blender-generated synthetic panoramas confirming the practical performance of the designed optical systems. The proposed approach allows for systematic, measurement-driven design of spherical camera rigs for use in immersive imaging, robotic perception, and structural inspection. Full article
(This article belongs to the Special Issue Advances in Optical 3D Metrology)
Show Figures

Figure 1

20 pages, 59455 KB  
Article
ACDNet: Adaptive Citrus Detection Network Based on Improved YOLOv8 for Robotic Harvesting
by Zhiqin Wang, Wentao Xia and Ming Li
Agriculture 2026, 16(2), 148; https://doi.org/10.3390/agriculture16020148 - 7 Jan 2026
Viewed by 420
Abstract
To address the challenging requirements of citrus detection in complex orchard environments, this paper proposes ACDNet (Adaptive Citrus Detection Network), a novel deep learning framework specifically designed for automated citrus harvesting. The proposed method introduces three key innovations: (1) Citrus-Adaptive Feature Extraction (CAFE) [...] Read more.
To address the challenging requirements of citrus detection in complex orchard environments, this paper proposes ACDNet (Adaptive Citrus Detection Network), a novel deep learning framework specifically designed for automated citrus harvesting. The proposed method introduces three key innovations: (1) Citrus-Adaptive Feature Extraction (CAFE) module that combines fruit-aware partial convolution with illumination-adaptive attention mechanisms to enhance feature representation with improved efficiency; (2) Dynamic Multi-Scale Sampling (DMS) operator that adaptively focuses sampling points on fruit regions while suppressing background interference through content-aware offset generation; and (3) Fruit-Shape Aware IoU (FSA-IoU) loss function that incorporates citrus morphological priors and occlusion patterns to improve localization accuracy. Extensive experiments on our newly constructed CitrusSet dataset, which comprises 2887 images capturing diverse lighting conditions, occlusion levels, and fruit overlapping scenarios, demonstrate that ACDNet achieves superior performance with mAP@0.5 of 97.5%, precision of 92.1%, and recall of 92.8%, while maintaining real-time inference at 55.6 FPS. Compared to the baseline YOLOv8n model, ACDNet achieves improvements of 1.7%, 3.4%, and 3.6% in mAP@0.5, precision, and recall, respectively, while reducing model parameters by 11% (to 2.67 M) and computational cost by 20% (to 6.5 G FLOPs), making it highly suitable for deployment in resource-constrained robotic harvesting systems. However, the current study is primarily validated on citrus fruits, and future work will focus on extending ACDNet to other spherical fruits and exploring its generalization under extreme weather conditions. Full article
(This article belongs to the Section Artificial Intelligence and Digital Agriculture)
Show Figures

Figure 1

18 pages, 4671 KB  
Article
A Framework of Designing Multi-Coil Electromagnetic System for 6-DOF Manipulation of Magnetic Miniature Robot
by Qiang Zhang, Aiwu Zhou and Yi Zhang
Actuators 2026, 15(1), 11; https://doi.org/10.3390/act15010011 - 25 Dec 2025
Viewed by 778
Abstract
Precise and programmable magnetic field control is essential for the reliable actuation of magnetic miniature robots in biomedical applications. However, the workspace of existing systems often relies on empirical designs and lacks a clear framework to define an entire workspace with independently controllable [...] Read more.
Precise and programmable magnetic field control is essential for the reliable actuation of magnetic miniature robots in biomedical applications. However, the workspace of existing systems often relies on empirical designs and lacks a clear framework to define an entire workspace with independently controllable magnetic field strength, as well as precisely specified volume, shape, and position. Here, we present a rational design framework that systematically elucidates the fundamental principles governing the generation of uniform and gradient magnetic fields using spherically distributed magnetic coil arrays (SDMCAs). We first identify the eight independent parameters that fully define the magnetic field. Using both analytical and numerical methods, we demonstrate that the control of the magnetic field strength and gradient can be decoupled. This concept is then extended to three dimensions through the development of a finite element analysis (FEA) model, which accurately simulates the spatial magnetic field distribution of complex coil geometries. The simulation results are validated experimentally, showing excellent agreement. Finally, we propose a step-by-step SDMCA design workflow that enables precise control over the magnetic field parameters within a target workspace. This framework provides a practical and scalable approach for the development of high-performance magnetic actuation systems for miniature robots. Full article
(This article belongs to the Section Miniaturized and Micro Actuators)
Show Figures

Figure 1

20 pages, 7461 KB  
Article
A Wall-Climbing Robot with a Mechanical Arm for Weld Inspection of Large Pressure Vessels
by Ming Zhong, Mingjian Pan, Zhengxiong Mao, Ruifei Lyu and Yaxin Liu
Actuators 2025, 14(12), 607; https://doi.org/10.3390/act14120607 - 12 Dec 2025
Viewed by 581
Abstract
Inspecting the inner walls of large pressure vessels requires accurate weld seam recognition, complete coverage, and precise path tracking, particularly in low-feature environments. This paper presents a fully autonomous mobile robotic system that integrates weld seam detection, localization, and tracking to support ultrasonic [...] Read more.
Inspecting the inner walls of large pressure vessels requires accurate weld seam recognition, complete coverage, and precise path tracking, particularly in low-feature environments. This paper presents a fully autonomous mobile robotic system that integrates weld seam detection, localization, and tracking to support ultrasonic testing. An improved Differentiable Binarization Network (DBNet) combined with the Spatially Variant Transformer (SVTR) model enhances digital stamp recognition, while weld paths are reconstructed from three-dimensional position data acquired via binocular stereo vision. To ensure complete traversal and accurate tracking, a global–local hierarchical planning strategy is implemented: the A-star (A*) algorithm performs global path planning, the Rapidly Exploring Random Tree Connect (RRT-Connect) algorithm handles local path generation, and point cloud normal–based spherical interpolation produces smooth tracking trajectories for robotic arm motion control. Experimental validation demonstrates a 94.7% digital stamp recognition rate, 95.8% localization success, 1.65 mm average weld tracking error, 2.12° normal fitting error, 98.2% seam coverage, and a tracking speed of 96 mm/s. These results confirm the system’s capability to automate weld seam inspection and provide a reliable foundation for subsequent ultrasonic testing in pressure vessel applications. Full article
(This article belongs to the Topic Advances in Mobile Robotics Navigation, 2nd Volume)
Show Figures

Figure 1

21 pages, 4230 KB  
Article
Dynamic Analysis and Control Compensation of the Large Optical Mirror Processing Parallel Robot Considering Motion Pair Friction
by Hao Liu, Zujin Jin and Zixin Yin
Lubricants 2025, 13(11), 504; https://doi.org/10.3390/lubricants13110504 - 18 Nov 2025
Cited by 1 | Viewed by 649
Abstract
The dynamic performance of parallel robots directly determines the machining accuracy in large optical mirror processing (LOMP). However, limitations in traditional dynamic modeling methods hinder their application in real-time control, constraining further improvements in robotic precision. This paper aims to establish a high-precision [...] Read more.
The dynamic performance of parallel robots directly determines the machining accuracy in large optical mirror processing (LOMP). However, limitations in traditional dynamic modeling methods hinder their application in real-time control, constraining further improvements in robotic precision. This paper aims to establish a high-precision and practical dynamic model that considers joint friction for parallel robots used in LOMP, and to design an efficient real-time friction compensation control strategy to effectively enhance trajectory tracking and repetitive positioning accuracy. The novelty of this work lies in proposing a dynamic modeling approach that integrates the static mechanics-based “Disassembly Method” with a “Coulomb + Viscous” friction model. First, static analysis of the mechanism is conducted using the “Disassembly Method” to accurately compute the joint constraint reactions in any pose, providing critical input for friction calculation. Subsequently, a complete dynamic model incorporating friction in joints such as Hooke joints, composite spherical hinges, and ball screws is developed based on the Newton–Euler formulation. This method overcomes the shortcomings of traditional approaches in solving joint reactions and managing model complexity. Numerical simulations demonstrate that, compared to conventional friction-neglected models, the proposed model reveals a maximum increase of approximately 350 N in driving chain joint reaction forces and significant peaks in driving forces at motion reversal instants (e.g., 0.28 s, 0.45 s), quantitatively proving that neglecting friction severely underestimates the actual system loads. Experimental validation shows that the feedforward PD friction compensator designed based on this model reduces the rotational tracking errors of the moving platform around the X- and Y-axis from 0.295° and 0.286° to 0.134° and 0.128°, respectively, achieving an error reduction of about 55% and effectively improving motion control accuracy. This study provides a reliable dynamic modeling foundation and an effective real-time control compensation solution to address force output errors and trajectory deviations caused by joint friction in high-precision LOMP. Full article
(This article belongs to the Special Issue Machine Design and Tribology)
Show Figures

Figure 1

32 pages, 31629 KB  
Article
Aspects Concerning Parallel Robots Used in Rehabilitation
by Adrian Todor, Daniel Vasile Banyai, Cornel Brisan and Adriana Daniela Banyai
Bioengineering 2025, 12(11), 1224; https://doi.org/10.3390/bioengineering12111224 - 9 Nov 2025
Cited by 1 | Viewed by 555
Abstract
This study presents a comprehensive simulation-based comparative analysis of four parallel robotic mechanisms, each developed to assist patient recovery through adaptive movement control and feedback, particularly for upper and lower limb therapy. Kinematic and dynamic models were developed and implemented in Matlab-Simulink, integrating [...] Read more.
This study presents a comprehensive simulation-based comparative analysis of four parallel robotic mechanisms, each developed to assist patient recovery through adaptive movement control and feedback, particularly for upper and lower limb therapy. Kinematic and dynamic models were developed and implemented in Matlab-Simulink, integrating force control via conventional regulators and real-time interaction with simulated patient-applied forces. The structural differences between spherical, rotational, and universal joints in each kinematic chain variant were evaluated. To systematically determine the most suitable design, a detailed Analytic Hierarchy Process was applied considering performance, precision, stability, and actuator effort. The study emphasizes the advantages of parallel robots in rehabilitation due to their precision, rigidity, and compact design, highlighting the potential of parallel robotic systems in customized and adaptive physical therapy interventions. These insights contribute to the optimal design selection of clinical motor therapy robots. Full article
(This article belongs to the Section Biomechanics and Sports Medicine)
Show Figures

Figure 1

24 pages, 2134 KB  
Article
Smart Risk Assessment and Adaptive Control Strategy Selection for Human–Robot Collaboration in Industry 5.0: An Intelligent Multi-Criteria Decision-Making Approach
by Ertugrul Ayyildiz, Tolga Kudret Karaca, Melike Cari, Bahar Yalcin Kavus and Nezir Aydin
Processes 2025, 13(10), 3206; https://doi.org/10.3390/pr13103206 - 9 Oct 2025
Cited by 2 | Viewed by 1501
Abstract
The emergence of Industry 5.0 brings a paradigm shift towards collaborative environments where humans and intelligent robots work side-by-side, enabling personalized, flexible, and resilient manufacturing. However, integrating humans and robots introduces new operational and safety risks that require proactive and adaptive control strategies. [...] Read more.
The emergence of Industry 5.0 brings a paradigm shift towards collaborative environments where humans and intelligent robots work side-by-side, enabling personalized, flexible, and resilient manufacturing. However, integrating humans and robots introduces new operational and safety risks that require proactive and adaptive control strategies. This study proposes an intelligent multi-criteria decision-making framework for smart risk assessment and the selection of optimal adaptive control strategies in human–robot collaborative manufacturing settings. The proposed framework integrates advanced risk analytics, real-time data processing, and expert knowledge to evaluate alternative control strategies, such as real-time wearable sensor integration, vision-based dynamic safety zones, AI-driven behavior prediction models, haptic feedback, and self-learning adaptive robot algorithms. A cross-disciplinary panel of ten experts structures six main and eighteen sub-criteria spanning safety, adaptability, ergonomics, reliability, performance, and cost, with response time and implementation/maintenance costs modeled as cost types. Safety receives the most significant weight; the most influential sub-criteria are collision avoidance efficiency, return on investment (ROI), and emergency response capability. The framework preserves linguistic semantics from elicitation to aggregation and provides a transparent, uncertainty-aware tool for selecting and phasing adaptive control strategies in Industry 5.0 collaborative cells. Full article
Show Figures

Figure 1

45 pages, 507 KB  
Article
Cohomological Structure of Principal SO(3)-Bundles over Real Curves with Applications to Robot Orientation Control
by Álvaro Antón-Sancho
Mathematics 2025, 13(19), 3119; https://doi.org/10.3390/math13193119 - 29 Sep 2025
Viewed by 1350
Abstract
This paper provides advances in the study of principal SO(3)-bundles over smooth projective real curves, with applications to robot manipulation orientation. The work introduces a novel specific classification of these bundles, establishing a bijection between isomorphism classes and specific [...] Read more.
This paper provides advances in the study of principal SO(3)-bundles over smooth projective real curves, with applications to robot manipulation orientation. The work introduces a novel specific classification of these bundles, establishing a bijection between isomorphism classes and specific direct sums of cyclic groups. The explicit computation of the cohomology ring H*(P,Z) for a principal SO(3)-bundle P over a real curve X, revealing its complete structure and torsion subgroups, is a major contribution of the paper. This paper further demonstrates that the equivariant cohomology HSO(3)*(P,Z) is isomorphic to H*(X,Z)H*(BSO(3),Z), with implications for connections and curvature. These results are then applied to robotics, showing that for manipulators with revolute joints, a principal SO(3)-bundle encoding end-effector orientation whose second Stiefel–Whitney class characterizes the obstruction to continuous orientation control exists. For robots with spherical wrists, the configuration space factors as a product, allowing for the decomposition of connections with control implications. Finally, a mechanical connection is constructed that minimizes kinetic energy, with its curvature identifying configurations where small perturbations cause large orientation changes. Full article
(This article belongs to the Special Issue Real Algebraic Geometry and Its Applications)
23 pages, 3485 KB  
Article
MSGS-SLAM: Monocular Semantic Gaussian Splatting SLAM
by Mingkai Yang, Shuyu Ge and Fei Wang
Symmetry 2025, 17(9), 1576; https://doi.org/10.3390/sym17091576 - 20 Sep 2025
Cited by 1 | Viewed by 2759
Abstract
With the iterative evolution of SLAM (Simultaneous Localization and Mapping) technology in the robotics domain, the SLAM paradigm based on three-dimensional Gaussian distribution models has emerged as the current state-of-the-art technical approach. This research proposes a novel MSGS-SLAM system (Monocular Semantic Gaussian Splatting [...] Read more.
With the iterative evolution of SLAM (Simultaneous Localization and Mapping) technology in the robotics domain, the SLAM paradigm based on three-dimensional Gaussian distribution models has emerged as the current state-of-the-art technical approach. This research proposes a novel MSGS-SLAM system (Monocular Semantic Gaussian Splatting SLAM), which innovatively integrates monocular vision with three-dimensional Gaussian distribution models within a semantic SLAM framework. Our approach exploits the inherent spherical symmetries of isotropic Gaussian distributions, enabling symmetric optimization processes that maintain computational efficiency while preserving geometric consistency. Current mainstream three-dimensional Gaussian semantic SLAM systems typically rely on depth sensors for map reconstruction and semantic segmentation, which not only significantly increases hardware costs but also limits the deployment potential of systems in diverse scenarios. To overcome this limitation, this research introduces a depth estimation proxy framework based on Metric3D-V2, which effectively addresses the inherent deficiency of monocular vision systems in depth information acquisition. Additionally, our method leverages architectural symmetries in indoor environments to enhance semantic understanding through symmetric feature matching. Through this approach, the system achieves robust and efficient semantic feature integration and optimization without relying on dedicated depth sensors, thereby substantially reducing the dependency of three-dimensional Gaussian semantic SLAM systems on depth sensors and expanding their application scope. Furthermore, this research proposes a keyframe selection algorithm based on semantic guidance and proxy depth collaborative mechanisms, which effectively suppresses pose drift errors accumulated during long-term system operation, thereby achieving robust global loop closure correction. Through systematic evaluation on multiple standard datasets, MSGS-SLAM achieves comparable technical performance to existing three-dimensional Gaussian model-based semantic SLAM systems across multiple key performance metrics including ATE RMSE, PSNR, and mIoU. Full article
(This article belongs to the Section Engineering and Materials)
Show Figures

Figure 1

Back to TopTop