优化磁传感器布局并结合物理感知网络,实现无需标定的高精度磁定位。
Information-Theoretic Geometry Optimization and Physics-Aware Learning for Calibration-Free Magnetic Localization

- 基于FIM分析优化传感器排布,提升观测性能。
- 在真实场景中达1.84mm位置误差、3.18度姿态误差,刷新率超270Hz。
- 适合医疗导航等对精度与鲁棒性要求高的实时磁定位应用。
无线磁定位可实现无遮挡的医学干预引导,但其实际精度受限于两个耦合问题:传统平面传感器阵列可观测性差,以及基于学习的估计算法存在仿真到现实(Sim-to-Real)差距。本文提出统一框架,融合信息论指导的传感器几何优化与物理感知深度学习。首先建立基于费舍尔信息矩阵(FIM)的评估体系,证明交错分裂阵列拓扑显著增强可观测性,且适合外部部署。其次,在此优化配置基础上,提出无需标定的Phy-GAANet,完全在硬件感知合成数据上训练。通过引入物理感知特征(PIF)建模饱和效应,及几何感知注意力(GAA)保持跨层向量结构,有效弥合仿真与现实差距。大量真实实验表明,该方法达到1.84 mm位置误差和3.18度姿态误差,刷新率超过270 Hz,优于经典Levenberg-Marquardt求解器与通用卷积基线,尤其在抑制灾难性异常值和近场边界区域保持鲁棒。此外,FIM指导的分析也为实际部署约束下的磁定位系统传感器布局设计提供通用框架。
原文摘要 · Abstract (English)
Wireless localization of permanent magnets enables occlusion-free guidance for medical interventions, yet its practical accuracy is fundamentally limited by two coupled challenges: the poor observability of conventional planar sensor arrays and the simulation-to-reality (Sim-to-Real) gap of learning-based estimators. To address these issues, this article presents a unified framework that combines information-theoretic sensor geometry optimization with physics-aware deep learning. First, a rigorous Fisher Information Matrix (FIM)-based evaluation framework is established to quantify geometry-induced observability limitations. The results show that a staggered split-array topology provides a substantially stronger observability foundation for localization while remaining compatible with practical external deployment. Second, building on this optimized sensing configuration, we propose Phy-GAANet, a calibration-free estimator trained entirely on hardware-aware synthetic data. By incorporating Physics-Informed Features (PIF) for saturation modeling and Geometry-Aware Attention (GAA) for preserving cross-layer vector structure, the network effectively bridges the Sim-to-Real gap. Extensive real-world experiments demonstrate state-of-the-art performance, achieving a position error of 1.84 mm and an orientation error of 3.18 degrees at a refresh rate exceeding 270 Hz. The proposed method consistently outperforms classical Levenberg--Marquardt solvers and generic convolutional baselines, particularly in suppressing catastrophic outliers and maintaining robustness in challenging near-field boundary regions. Beyond the proposed network, the FIM-guided analysis also provides a framework for sensor geometry design in magnetic localization systems under practical deployment constraints.
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