无需标定即可实时定位内窥医疗设备,精度达1.5厘米以内。
Closed-Form Pose Estimation of Endoluminal Medical Devices via Gradiometer-Based Electromagnetic Localization System

- 用磁梯度阵列直接解算设备位置姿态,避免复杂校准和迭代优化。
- 实测定位误差10.8–15.6毫米,刷新率高达14.5赫兹,计算仅需172微秒。
- 适合需要高精度、无预标定的内窥手术导航系统,尤其适合动态场景。
嵌入式磁追踪在内窥医疗设备远程导航中前景广阔。现有六自由度姿态估计方法常依赖预标定的工作区磁场图或迭代非线性优化。本文提出基于梯度计的电磁定位系统(GELS),采用紧凑磁力计阵列作为准梯度计,直接估计局部磁场及梯度张量。通过欧拉齐次关系将这些量映射为源与阵列间的位移,再利用至少三个非共线源进行多源普罗克鲁斯特斯配准,恢复阵列的姿态与位置。该算法只需已知源位置和阵列几何,无需预标定场图、初始姿态猜测或激励源偶极矩标定。所获姿态可实现概念验证级的亚层级偶极子定位任务,作为移动磁参考帧。不同传感器配置与激励模式的台架实验显示,序列平均位置误差为10.80–15.57毫米,最高更新率达14.49赫兹,中位求解时间仅172.00微秒。基于扰动的误差传播分析表明,传感器间不一致性与偶极模型失配是主要精度限制,为未来传感器阵列与磁源设计提供了改进方向。
原文摘要 · Abstract (English)
Embedded magnetic tracking holds highly attractive prospects for remote navigation of endoluminal medical devices. However, existing six-degree-of-freedom pose recovery approaches often require pre-calibrated workspace field maps or iterative nonlinear optimization. This letter presents a Gradiometer-Based Electromagnetic Localization System (GELS), a closed-form tracking framework that uses a compact magnetometer array as an embedded quasi-gradiometer to estimate local magnetic fields and gradient tensors. These quantities are mapped by the Euler homogeneous relation to displacements between source and array, from which multi-source Procrustes registration recovers the array orientation and position using at least three non-collinear sources. The algorithm requires known source positions and array geometry, but no pre-calibrated workspace field maps, initial pose guesses, or calibrated excitation-source moments. The recovered pose also enables a proof-of-concept sub-level dipole localization task by serving as a mobile magnetic reference frame. Benchtop experiments across sensor-array configurations and excitation modes demonstrate sequence-averaged position errors of \SI{10.80}{\milli\meter}--\SI{15.57}{\milli\meter}, a fastest update rate of \SI{14.49}{\hertz}, and a median solver runtime of \SI{172.00}{\micro\second}. A perturbation-based error propagation analysis further identifies inter-sensor inconsistency and dipole-model mismatch as the dominant accuracy limits, thereby informing future sensor array and magnetic source design for further reducing pose-estimation error.
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