Medicine-Engineering Interdisciplinary

Magnetic Tracking System with Capability of Automatic Magnetic Moment Measurement

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  • 1. State Key Laboratory of Dynamic Measurement Technology, North University of China, Taiyuan 030051, China; 2. Key Laboratory of Micro/Nano Devices and Systems of Ministry of Education, North University of China, Taiyuan 030051, China)

Received date: 2023-05-23

  Accepted date: 2023-08-24

  Online published: 2025-07-31

Abstract

Magnetic tracking technologies have a promising application in detecting the real-time position and attitude of a capsule endoscope. However, most of them need to measure the magnetic moment of a permanent magnet (PM) embedded in the capsule accurately in advance, which can cause inconvenience to practical application. To solve this problem, this paper proposes a magnetic tracking system with the capability of measuring the magnetic moment of the PM automatically. The system is constructed based on a 4 × 4 magnetic sensor array, whose sensing data is analyzed to determine the magnetic moment by referring to a magnetic dipole model. With the determined magnetic moment, a method of fusing the linear calculation and Levenberg-Marquardt algorithms is proposed to determine the 3D position and 2D attitude of the PM. The experiments verified that the proposed system can achieve localization errors of 0.48mm, 0.42mm, and 0.83mm and orientation errors of 0.66 ◦ , 0.64 ◦ , and 0.87◦ for a PM (∅10mm × 10mm) at vertical heights of 5 cm, 10 cm, and 15 cm from the magnetic sensor array, respectively.

Cite this article

Tian Siyu, Gao Jinyang, Huang Peng, Ma Xinyu, Ma Ziyu . Magnetic Tracking System with Capability of Automatic Magnetic Moment Measurement[J]. Journal of Shanghai Jiaotong University(Science), 2025 , 30(4) : 646 -657 . DOI: 10.1007/s12204-024-2720-5

References

[1] KIM S, BAE S, LEE W, et al. Magnetic navigation system composed of dual permanent magnets for accurate position and posture control of a capsule endoscope [J]. IEEE Transactions on Industrial Electronics, 2024, 71(1): 739-748.
[2] YUAN C Q, WANG Y, LIU J. Research on multi-sensor fusion-based AGV positioning and navigation technology in storage environment [J]. Journal of Physics: Conference Series, 2022, 2378(1): 012052.
[3] CHEN Z R, ZHAO Y X, LIU X K, et al. Embedded position detecting method for permanent magnet linear motor systems [J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 9514010.
[4] WANG R H, PAN X W, WANG Q H, et al. Rotor position recognition technology of permanent magnet linear synchronous motor based on sliding mode observer [J]. Journal of Physics: Conference Series, 2021, 2125(1): 012029.
[5] SCHLAGETER V, BESSE P A, POPOVIC R S, et al. Tracking system with five degrees of freedom using a 2D-array of Hall sensors and a permanent magnet [J]. Sensors and Actuators A: Physical, 2001, 92(1/2/3): 37-42.
[6] HU C, MENG M Q, MANDAL M. Efficient magnetic localization and orientation technique for capsule endoscopy [C]//2005 IEEE/RSJ International Conference on Intelligent Robots and Systems. Edmonton: IEEE, 2005: 628-633.
[7] PHAM D M, AZIZ S M. A real-time localization system for an endoscopic capsule using magnetic sensors [J]. Sensors, 2014, 14(11): 20910-20929.
[8] SONG S, WANG S, YUAN S S, et al. Magnetic tracking of wireless capsule endoscope in mobile setup based on differential signals [J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 4005208.
[9] SU S J, ZENG X P, SONG S, et al. Positioning accuracy improvement of automated guided vehicles based on a novel magnetic tracking approach [J]. IEEE Intelligent Transportation Systems Magazine, 2020, 12(4): 138-148.
[10] HU C, MENG M Q H, MANDAL M. A linear algorithm for tracing magnet position and orientation by using three-axis magnetic sensors [J]. IEEE Transactions on Magnetics, 2007, 43(12): 4096-4101.
[11] HU C, LI M, SONG S, et al. A cubic 3-axis magnetic sensor array for wirelessly tracking magnet position and orientation [J]. IEEE Sensors Journal, 2010, 10(5): 903-913.
[12] SONG S, LI B P, QIAO W, et al. 6-D magnetic localization and orientation method for an annular magnet based on a closed-form analytical model [J]. IEEE Transactions on Magnetics, 2014, 50(9): 5000411.
[13] SU S J, YANG W N, DAI H D, et al. Investigation of the relationship between tracking accuracy and tracking distance of a novel magnetic tracking system [J]. IEEE Sensors Journal, 2017, 17(15): 4928-4937.
[14] SU S J, DAI H D, CHENG S Y, et al. A robust magnetic tracking approach based on graph optimization [J]. IEEE Transactions on Instrumentation and Measurement, 2020, 69(10): 7933-7940.
[15] QIN Y D, LV B W, DAI H D, et al. An hFFNN-LM based real-time and high precision magnet localization method [J]. IEEE Transactions on Instrumentation and Measurement, 2022, 71: 2509009.
[16] SEBKHI N, SAHADAT N, HERSEK S, et al. A deep neural network-based permanent magnet localization for tongue tracking [J]. IEEE Sensors Journal, 2019, 19(20): 9324-9331.
[17] LV B W, CHEN Y G, DAI H D, et al. PKBPNN-based tracking range extending approach for TMR magnetic tracking system [J]. IEEE Access, 2019, 7: 63123-63132.
[18] JIANG H, ZHOU Y, YANG Y. Research on permanent magnet magnetic measurement method based on equivalent magnetic moment [J]. Electronics World, 2016(13): 90-91 (in Chinese).
[19] PENG Q L, SUN J, ZHAO G Y, et al. Principle and software design of helmhotz coil measurement system [J]. High Energy Physics and Nuclear Physics, 2001, 25(9): 920-925 (in Chinese).
[20] ZHANG H, LI Y H, LI Z. 6-D spatial localization of wireless magnetically actuated capsule endoscopes based on the fusion of hall sensor array and IMU [J]. IEEE Sensors Journal, 2022, 22(13): 13424-13433.
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