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A Low-Complexity Sparse Bayesian Acoustic Source Localization Method Based on ℓₚ-Norm Constraint 基于ₚ范数约束的低复杂度稀疏贝叶斯声源定位方法
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-24 DOI: 10.1109/TIM.2025.3648095
Xiaobo Zhang;Jinchan Zhu;Xiaosong Li;Lin Tong;Chun Li;Maoheng Jing;Ning Li;Haijun Wang;Ping Wang
Sparse Bayesian inference (SBI) has emerged as a promising approach for direction-of-arrival (DOA) estimation in acoustic signal processing due to its robust statistical framework. However, conventional SBI methods often lack flexibility due to their dependence on prior models for sparsity constraints, also struggle with high computational complexity caused by covariance matrix inversion, and additionally suffer from precision degradation due to grid mismatch. To address the aforementioned issues, this study proposes an enhanced hierarchical SBI algorithm ( $ell _{!p}$ -IFSBI) that integrates $ell _{!p}$ -norm penalty. A nonconvex $ell _{!p}$ -norm regularization model (with $0lt plt 1$ ) is constructed to control the sparsity of the model within a hierarchical Bayesian framework. Additionally, the likelihood function is reformulated through theoretical derivation to eliminate covariance matrix inversion, thereby reducing computational complexity. Furthermore, the coati optimization algorithm (COA) is introduced to perform adaptive searching for the actual source position within the signal subspace, effectively compensating for model errors caused by grid mismatch. Simulation and real-time acoustic source localization experiments show that, at a signal-to-noise ratio (SNR) of 0 dB, the proposed $ell _{!p}$ -IFSBI-COA algorithm achieves a root-mean-square error (RMSE) of less than 0.3° in the DOA estimation. To facilitate further research and reproduction, the source code is available at https://github.com/Xiaob0-Zhang/lp-IFSBI
稀疏贝叶斯推理(SBI)由于其鲁棒的统计框架而成为声信号处理中到达方向(DOA)估计的一种有前途的方法。然而,传统的SBI方法由于依赖于先前模型的稀疏性约束而缺乏灵活性,并且由于协方差矩阵反演而导致的计算复杂度较高,并且由于网格不匹配而导致精度降低。为了解决上述问题,本研究提出了一种增强的分层SBI算法($ well _{!p}$ -IFSBI)集成$ well _{!$ -norm惩罚。非凸$ well _{!构造p}$ -范数正则化模型($0lt plt 1$)以在层次贝叶斯框架内控制模型的稀疏性。另外,通过理论推导对似然函数进行了重新表述,消除了协方差矩阵的反演,从而降低了计算复杂度。引入coati优化算法(COA)在信号子空间内自适应搜索实际源位置,有效补偿网格失配引起的模型误差。仿真和实时声源定位实验表明,在信噪比(SNR)为0 dB时,所提出的$ well _{!p}$ -IFSBI-COA算法的DOA估计均方根误差(RMSE)小于0.3°。为了便于进一步研究和复制,源代码可在https://github.com/Xiaob0-Zhang/lp-IFSBI上获得
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引用次数: 0
Trustworthy Open Set Domain Generalization Network for Unknown Fault Diagnosis Under Unseen Conditions 未知条件下未知故障诊断的可信开集域概化网络
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-24 DOI: 10.1109/TIM.2025.3648100
Zhenhua Fan;Bing Yan;Che Xu;Shixiang Lu;Kai Zhong
Advanced intelligent fault diagnosis (IFD) methods based on domain generalization (DG) leverage multisource sensor data to overcome the limitations the limitations of domain adaptation (DA)-based models regarding target data demand in the training stage, which resolves domain shift problems under unseen conditions in industrial instrumentation. However, previous studies primarily focused on the closed-set diagnosis with same label space shared by the training and testing data, which struggle to address the problem of new fault identification under intricate industrial dynamics. To overcome this obstacle, a trustworthy evidential open-set DG network (EOSDGN) is proposed for open-set fault diagnosis under unseen conditions. In the EOSDGN method, an evidential deep classifier is constructed to quantify the uncertainty of predicted results, an evidential domain discriminator is employed to integrate the data from diverse source domains, and an evidential uncertainty calibration is established to reconcile the misleading evidence and class-based evidence assignments. The EOSDGN model effectively addresses both domain and label shift challenges by integrating domain-invariant features extraction and uncertainty quantification of the predicted probabilities, which enables efficient classification of known faults while simultaneously facilitating the identification of unknown faults. The effectiveness of the EOSDGN model has been substantiated using public and practical datasets. Experimental findings demonstrate that the EOSDGN model surpasses the performance of the state-of-the-art models.
基于领域泛化(DG)的高级智能故障诊断(IFD)方法利用多源传感器数据克服了基于领域自适应(DA)模型在训练阶段对目标数据需求的局限性,解决了工业仪器中未知条件下的领域漂移问题。然而,以往的研究主要集中在训练数据和测试数据共享相同标签空间的闭集诊断,难以解决复杂工业动态下的新故障识别问题。为了克服这一障碍,提出了一种可信赖证据开集DG网络(EOSDGN),用于不可见条件下的开集故障诊断。在EOSDGN方法中,构建了一个证据深度分类器来量化预测结果的不确定性,使用一个证据域鉴别器来整合来自不同源域的数据,并建立了一个证据不确定性校准来协调误导证据和基于类别的证据分配。EOSDGN模型通过整合域不变特征提取和预测概率的不确定性量化,有效地解决了域和标签转移的挑战,从而实现了对已知故障的有效分类,同时促进了未知故障的识别。EOSDGN模型的有效性已经通过公共和实际数据集得到证实。实验结果表明,EOSDGN模型的性能优于目前最先进的模型。
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引用次数: 0
Estimation of Specific Gravity of Potato Tubers Using Dielectric Properties 利用介电特性估算马铃薯块茎的比重
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-24 DOI: 10.1109/TIM.2025.3648104
Taorui Chen;Yuki Gao;Yi Wang;Hai-Han Sun
Potatoes are an economically important crop, and their quality is closely related to the starch content, which is typically inferred from specific gravity (SG). Although microwave sensing technologies have been increasingly developed for underground potato detection and quality assessment in recent years, no accurate model has yet been established to link the dielectric properties of potatoes with their key agronomic traits. To address this gap, we developed a model for estimating potato tubers’ SG based on their dielectric constant. To construct and validate the model, we conducted SG measurements and dielectric spectroscopy measurements in the frequency range of 0.3–3.0 GHz on 250 potatoes of five different types (red, russet, yellow, purple, and chipping potatoes, with 50 samples per type). Out of the 250 datasets, 200 datasets were used for model development, and 50 datasets were used for model validation. A linear regression model was used to summarize the relationship between SG and dielectric constant, where the regression coefficients are expressed as fourth-order polynomial functions of frequency. Experimental results on 50 validation datasets show that the model achieves high estimation accuracy with mean absolute errors (MAEs) of less than $4.80 times 10^{-3}$ and mean absolute percentage errors (MAPEs) of less than 0.45%. The model was further validated on 50 yellow potatoes at different growing stages, achieving consistent estimation accuracy with MAE of $3.71 times 10^{-3}$ and MAPE of 0.35%. The study of the dielectric properties of potatoes, along with the derived SG estimation model, provides a foundation for the future development of microwave sensing technologies for agronomic trait assessment in potato production and processing industries.
马铃薯是一种重要的经济作物,其品质与淀粉含量密切相关,淀粉含量通常由比重(SG)推断。近年来,微波传感技术在地下马铃薯的检测和质量评价中得到了越来越多的发展,但目前还没有建立起准确的模型来将马铃薯的介电特性与其关键农艺性状联系起来。为了解决这一差距,我们开发了一个基于马铃薯块茎介电常数估计其SG的模型。为了构建和验证该模型,我们在0.3-3.0 GHz频率范围内对5种不同类型的250个马铃薯(红色、赤褐色、黄色、紫色和薯片,每种类型50个样品)进行了SG测量和介电光谱测量。在250个数据集中,200个数据集用于模型开发,50个数据集用于模型验证。采用线性回归模型总结了SG与介电常数之间的关系,回归系数表示为频率的四阶多项式函数。在50个验证数据集上的实验结果表明,该模型具有较高的估计精度,平均绝对误差(MAEs)小于$4.80 × 10^{-3}$,平均绝对百分比误差(mape)小于0.45%。在50个不同生育期的黄马铃薯上进一步验证了该模型,获得了一致的估计精度,MAE为3.71 × 10^{-3}$, MAPE为0.35%。马铃薯介电特性的研究,以及推导出的SG估计模型,为马铃薯生产加工业中微波传感技术在农艺性状评价方面的进一步发展奠定了基础。
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引用次数: 0
Endpoint Localization of Faint Streak-Like Objects in Single-Frame Star Images 单帧星图中微弱条纹状物体的端点定位
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-24 DOI: 10.1109/TIM.2025.3647994
Yong Han;Desheng Wen;Jie Li;Zhangchi Qiao;Xin Wei;Tuochi Jiang
Endpoint localization of faint streak-like objects is an important component of space situational awareness. In this study, a correlation-based endpoint localization is proposed. It is composed of coarse localization and fine localization. The mathematical model of correlation is derived and verified, and it is used to select the optimal reference image of endpoints in different localization stages and conditions. Meanwhile, a correlation-coefficient-weighted centroid mapping (CCWCM) is proposed to achieve the fine location. Experiments demonstrate that the proposed method achieves superior localization accuracy for faint streak-like objects in single-frame star images while maintaining practical computational efficiency, and maintains robust performance for a peak signal-to-noise ratio (SNR) $geq 2$ . Furthermore, validation on real star images confirms the method’s validity and expected performance in practical operation.
微弱条纹状物体的端点定位是空间态势感知的重要组成部分。本研究提出了一种基于关联的端点定位方法。它由粗定位和精定位两部分组成。推导并验证了相关性的数学模型,并用于在不同定位阶段和条件下选择最优的端点参考图像。同时,提出了一种相关系数加权质心映射(CCWCM)方法来实现精细定位。实验表明,该方法在保持实际计算效率的同时,对单帧星图中微弱的条纹状物体具有较高的定位精度,并在峰值信噪比$geq 2$下保持了较好的性能。通过对真实星图的验证,验证了该方法在实际操作中的有效性和预期性能。
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引用次数: 0
GACB-Loc: A CSI Indoor Localization Method Based on Graph Convolutional Multichannel Attention Using CNN and BLSTM GACB-Loc:基于CNN和BLSTM的图卷积多通道注意CSI室内定位方法
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-24 DOI: 10.1109/TIM.2025.3647995
Long Cheng;Ke Liu;Jie Pan;Zhentao Fu
Indoor localization remains challenging due to multipath propagation, dynamic obstacles, and environmental noise. Traditional methods based on geometric or probabilistic models often fail under such complex conditions. The core challenge lies in effectively modeling spatial, temporal, and multichannel characteristics of noisy wireless signals. Channel state information (CSI) has the potential to address these issues by providing more detailed spatial and frequency domain features, making it a promising candidate for robust indoor localization. To address these limitations, this article proposes a unified indoor localization framework—graph attention convolution and bidirectional long short- term memory (GACB) Loc—which integrates graph convolution-based multichannel attention, convolutional neural networks (CNNs), and bidirectional long short-term memory (BLSTM) to jointly model spatial, temporal, and channelwise dependencies in CSI data. Aiming at the multichannel characteristics of CSI data, a Transformer-inspired graph convolution attention mechanism framework suitable for CSI data is proposed. First, the CSI phase data are preprocessed, and CNN is employed to extract advanced features and capture complex spatial and frequency domain patterns from the CSI phase data. Then, by utilizing the graph structure of CSI data and adaptively focusing on the most important channels, the model’s ability to prioritize relevant information is improved. Finally, BLSTM is proposed to capture temporal dependencies in the data. We conducted experiments on the proposed method using both publicly available datasets and real-world deployment environments. The results on two public datasets showed mean localization errors of 0.4945 and 0.6546 m, while real-world tests achieved average errors of 0.1691 and 0.8259 m, demonstrating our approach’s effectiveness and robustness. Compared to ten other representative methods—including incremental learning for intelligence localization (ILCL), broad learning system (BLS), multi-layer perceptron (MLP), neural network (NN), Horus, multi-output regression (MOR), RF-based user location and tracking system (RADAR), speed-aware WiFi-based passive indoor localization for mobile ship environment (SWIM), Bayes, and decision tree estimator (DTE)—our approach achieved average improvements of approximately 74.95% and 86.1%, respectively.
由于多径传播、动态障碍物和环境噪声,室内定位仍然具有挑战性。基于几何或概率模型的传统方法在这种复杂条件下往往失效。其核心挑战在于如何有效地模拟有噪声无线信号的空间、时间和多通道特性。信道状态信息(CSI)有可能通过提供更详细的空间和频域特征来解决这些问题,使其成为强大的室内定位的有希望的候选者。为了解决这些限制,本文提出了一个统一的室内定位框架-图注意卷积和双向长短期记忆(GACB) loc -它集成了基于图卷积的多通道注意、卷积神经网络(cnn)和双向长短期记忆(BLSTM),共同建模CSI数据中的空间、时间和通道依赖关系。针对CSI数据的多通道特性,提出了一种适用于CSI数据的Transformer-inspired图卷积注意机制框架。首先,对CSI相位数据进行预处理,利用CNN提取CSI相位数据的高级特征,捕获复杂的空间和频域模式;然后,利用CSI数据的图形结构,自适应地聚焦最重要的渠道,提高了模型对相关信息的优先级排序能力。最后,提出了BLSTM来捕获数据中的时间依赖性。我们使用公开可用的数据集和实际部署环境对提出的方法进行了实验。在两个公开数据集上的平均定位误差为0.4945和0.6546 m,而实际测试的平均定位误差为0.1691和0.8259 m,证明了我们的方法的有效性和鲁棒性。与其他十种代表性方法(包括智能定位的增量学习(ILCL)、广泛学习系统(BLS)、多层感知器(MLP)、神经网络(NN)、Horus、多输出回归(MOR)、基于射频的用户定位和跟踪系统(RADAR)、基于速度感知wifi的移动船舶环境被动室内定位(SWIM)、贝叶斯和决策树估计器(DTE))相比,我们的方法实现了大约74.95%和86.1%的平均改进。分别。
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引用次数: 0
Logarithmic Long-Term Drift Characteristics of MEMS Gravimeters: Insights From Over 900-Day Data MEMS重力仪的对数长期漂移特性:来自900多天数据的见解
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-22 DOI: 10.1109/TIM.2025.3644569
Lujia Yang;Wenjie Wu;Shasha Liu;Xiaochao Xu;Fangzheng Li;Le Gao;Bingyang Cai;Runhan Xie;Fangjing Hu;Liangcheng Tu
The drift performance of a relative gravimeter is a critical factor in its ability to detect long-term gravity variation signals, which typically change at an extremely slow rate. Recently, microelectromechanical system (MEMS) gravimeters have demonstrated remarkable performances and advantages such as mass production, compact size, and cost-effectiveness. However, their long-term drift behavior remains unexplored. In this study, a highly sensitive MEMS gravimeter with a self-noise of $0.8~mu $ Gal/ $surd $ Hz and an Allan variance of $1.1~mu $ Gal@50 s is employed to investigate the long-term drift characteristics and correction strategies based on data obtained over 900 days. The start-up drift is analyzed first, revealing that circuit drift dominates during the initial four days. A detailed analysis of 300-day data of two MEMS gravimeters reveals that the long-term drift characteristics follow a natural logarithmic model, challenging the widely adopted linear model. The fit natural logarithmic drift models are then applied to compensate for the drifts of the two MEMS gravimeters in the following 262 days of observations, reducing the drift rate from $292.6~pm ~34.6~mu $ Gal/day and $252.2~pm ~28.2~mu $ Gal/day to $3.1~pm ~37.7~mu $ Gal/day and $7.1~pm ~25.5~mu $ Gal/day, respectively. Furthermore, the drift performance of the MEMS gravimeter after relocation is also found to agree with the same natural logarithmic model. This breakthrough not only minimizes the impact of the drift when observing time-varying gravitational fields but also extends the calibration interval for mobile gravity measurements, showcasing a significant step toward transitioning MEMS gravimeters from laboratory research to real-world engineering applications.
相对重力仪的漂移性能是其检测长期重力变化信号能力的关键因素,重力变化信号通常以极慢的速率变化。近年来,微机电系统(MEMS)重力仪在批量生产、体积小、成本效益高等方面表现出了显著的性能和优势。然而,它们的长期漂移行为仍未被探索。在本研究中,采用自噪声为$0.8~mu $ Gal/ $ $ surd $ Hz, Allan方差为$1.1~mu $ Gal@50 s的高灵敏度MEMS重力仪,研究了基于900天以上数据的长期漂移特性和校正策略。首先分析了启动漂移,揭示了电路漂移在最初的四天内占主导地位。对两台MEMS重力仪300天的数据进行了详细分析,发现其长期漂移特性遵循自然对数模型,挑战了广泛采用的线性模型。利用拟合的自然对数漂移模型对两个MEMS重力仪在262天观测中的漂移进行补偿,将漂移率从$292.6~pm ~34.6~mu $ Gal/day和$252.2~pm ~28.2~mu $ Gal/day分别降低到$3.1~pm ~37.7~mu $ Gal/day和$7.1~pm ~25.5~mu $ Gal/day。此外,重新定位后的MEMS重力仪漂移性能也符合相同的自然对数模型。这一突破不仅最大限度地减少了观测时变重力场时漂移的影响,还延长了移动重力测量的校准间隔,展示了MEMS重力仪从实验室研究向实际工程应用过渡的重要一步。
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引用次数: 0
A Novel Rotational Torque Measuring Method Based on Double-Micro-Indentation Shaft Sensed by Optical Coherent System 基于光学相干系统双微压痕轴传感的旋转扭矩测量新方法
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-18 DOI: 10.1109/TIM.2025.3645945
Xiaodong Hong;Wei Liang;Dichang Huang;Zhenting Xu;Qiukun Zhang;Jiewen Lin;Shuncong Zhong;Tao Li
As industrialization advances and the global push for carbon neutrality intensifies, enhancing the efficiency of mechanical equipment has become essential. Accurate measurement of rotational torque plays a crucial role in monitoring efficiency and ensuring optimal performance. This article presents a novel, noncontact measurement technique based on optical coherent displacement, integrating dual-optical-detector probes for simultaneous rotational torque and speed measurement. A sensing model that links optical coherent signals to changes in rotational torque and rotational speed is established. The experiment demonstrates high accuracy of the system, with rotational speed error ranging from 0.25% to 0.67%, and rotational torque indication error between 0.03% and 2.25%. Furthermore, the experiments proved that the repeatability error is less than 1%, the hysteresis error is less than 1.6%, and the linearity error is in the range of 0.24% $sim ~0.57$ % for rotational torque measurement. The research further evaluates the influence of rotational speed on rotational torque measurement accuracy, revealing minimal impact at higher speeds. The findings suggest that the proposed method offers significant potential for precision measurement in rotating machinery, enabling the simultaneous measurement of both torque and rotational speed. This capability has important implications for improving system efficiency and supporting sustainable industrial practices.
随着工业化的推进和全球对碳中和的推动,提高机械设备的效率变得至关重要。旋转扭矩的准确测量对监测效率和确保最佳性能起着至关重要的作用。本文提出了一种基于光相干位移的新型非接触测量技术,该技术集成了双光探测器探头,可同时测量旋转扭矩和转速。建立了光相干信号与转矩和转速变化的传感模型。实验表明,该系统具有较高的精度,转速误差在0.25% ~ 0.67%之间,转矩指示误差在0.03% ~ 2.25%之间。实验结果表明,该方法测量旋转转矩的重复性误差小于1%,滞后误差小于1.6%,线性度误差在0.24% ~0.57 %之间。该研究进一步评估了转速对旋转扭矩测量精度的影响,揭示了在较高转速下的影响最小。研究结果表明,所提出的方法为旋转机械的精确测量提供了巨大的潜力,可以同时测量扭矩和转速。这种能力对于提高系统效率和支持可持续的工业实践具有重要意义。
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引用次数: 0
Railway Track Defect Detection: From a Comprehensive Review of Methods to New Embedded System Modeling Perspectives 铁路轨道缺陷检测:从方法的综合回顾到新的嵌入式系统建模视角
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-18 DOI: 10.1109/TIM.2025.3645927
Saša Radosavljevic;Alain Rivero;Abdelhafid El Ouardi;Sergio Rodríguez Flórez
The expansion and increasing complexity of railway infrastructure, combined with a growing demand for higher safety and maintenance standards, has driven important innovation in rail defect detection. This review examines recent methods for railway track defect identification, with a particular focus on their deployment on embedded computing architectures. Detection methods are categorized across multiple sensing modalities—vision, acoustics, vibration, and electromagnetic—while highlighting recent advances in deep learning (DL). This study addresses the critical gap between the performance of algorithms and their potential to be deployed on hardware architectures to design reliable, real-time systems. This review evaluates these approaches in terms of suitability for real-time onboard deployment, identifies their limitations, and proposes a new multisensory, embedded system that will balance performance, energy efficiency, and scalability. A study of detection methods and their in-depth evaluation aims to bridge the gap between complex and high-accuracy detection algorithms and their integration into lighter railway monitoring systems.
铁路基础设施的扩大和日益复杂,加上对更高安全和维护标准的需求不断增长,推动了铁路缺陷检测方面的重要创新。这篇综述检查了铁路轨道缺陷识别的最新方法,特别关注它们在嵌入式计算体系结构上的部署。检测方法分为多种传感模式-视觉,声学,振动和电磁-同时突出了深度学习(DL)的最新进展。本研究解决了算法性能与其在硬件架构上部署以设计可靠、实时系统的潜力之间的关键差距。本文从实时机载部署的适用性方面评估了这些方法,确定了它们的局限性,并提出了一种新的多传感器嵌入式系统,该系统将平衡性能、能源效率和可扩展性。对检测方法及其深入评估的研究旨在弥合复杂和高精度检测算法与轻型铁路监测系统集成之间的差距。
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引用次数: 0
Corrections to “A Novel MEMS Quadruple Mass Gyroscope With Superior Overall Performance via Dual-Umbrella-Like Driving Architecture” 对“基于双伞状驱动结构的新型MEMS四倍质量陀螺仪整体性能优越”的修正
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-18 DOI: 10.1109/TIM.2025.3641719
Shaolei Ge;Bo Jiang;Yi Zhou;Shenhu Huang;Yan Su;Tong Zhou
Presents corrections to the paper, Corrections to “A Novel MEMS Quadruple Mass Gyroscope With Superior Overall Performance via Dual-Umbrella-Like Driving Architecture”.
对“采用双伞状驱动结构的新型MEMS四重质量陀螺仪具有优越的综合性能”的论文进行了修正。
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引用次数: 0
A Calibration Method for the Relative Orientation Between Camera and Two-Axis Turntable 摄像机与两轴转台相对方位的标定方法
IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-12-18 DOI: 10.1109/TIM.2025.3645953
Mingkun Liu;Guangkun Feng;Fulin Liu;Zheng Gong;Zhenzhong Wei
The calibration of relative orientation between the camera and the two-axis turntable directly affects the measurement accuracy of the aircraft’s attitude and position for the aircraft pose visual measurement system (APVMS). Conventional hand–eye calibration methods exhibit limited precision due to the camera’s extrinsic parameter errors. The upright-inverted mirror method is incapable of calibrating the roll angle, and it becomes unsuitable when there exists a significant displacement between the camera and the turntable rotation center. Therefore, we propose a method based on the upright-inverted mirror and plumb lines. First, based on the 3-D marker corresponding to the principal point in the upright mirror as a reference, we calibrate the yaw and pitch angles between the turntable inner frame and the zooming camera by calculating the pixel displacement of the 2-D marker between the upright mirror and the inverted mirror. In addition, we calibrate the roll angle by identifying the plumb line whose inclination angle is independent of the pitch angle of the turntable. To obtain image features robustly, we employ an affine transformation method based on keypoint matching to extract the 2-D marker in the inverted mirror and use the Gaussian curve fitting technique to extract the centerline of the plumb line. Through simulation, we analyze the impact of different error factors on calibration accuracy and determine the number of plumb lines and the times of turntable pitching. Furthermore, we validate the superiority of the proposed method compared to the hand–eye calibration method on noise robustness in calibrating the rotation angles within the APVMS. This proposed method can be applied to calibrate the rotation angles between the inner frame and the camera simply and effectively.
在飞机位姿视觉测量系统(APVMS)中,相机与双轴转台之间的相对方位标定直接影响到飞机姿态和位置的测量精度。由于相机的外部参数误差,传统的手眼标定方法精度有限。当摄像机与转台旋转中心之间存在较大的位移时,立式倒立镜法无法标定滚转角。因此,我们提出了一种基于垂直倒立镜和铅垂线的方法。首先,以立镜中主点对应的三维标记为参考,通过计算立镜与倒立镜之间二维标记的像素位移,标定转台内框与变焦相机之间的偏航角和俯仰角。此外,我们通过确定其倾角与转盘俯仰角无关的铅垂线来校准滚转角。为了鲁棒性地获取图像特征,我们采用基于关键点匹配的仿射变换方法提取倒立镜中的二维标记,并采用高斯曲线拟合技术提取铅垂线的中心线。通过仿真分析了不同误差因素对标定精度的影响,确定了铅垂线数和转台俯仰次数。此外,在APVMS内旋转角度的标定中,我们验证了该方法在噪声鲁棒性上优于手眼标定方法。该方法可以简单有效地标定内框与摄像机之间的旋转角度。
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IEEE Transactions on Instrumentation and Measurement
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