Optics and Precision Engineering, Volume. 30, Issue 20, 2523(2022)

Multi-target magnetic positioning with the adaptive fuzzy c-means clustering and tensor invariants

Qingzhu LI, Zhining LI*, Zhiyong SHI, and Hongbo FAN
Author Affiliations
  • Department of Vehicle and Electrical Engineering, Army Engineering University of PLA, Shijiazhuang050003, China
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    References(24)

    [1] CLARK D A. New methods for interpretation of magnetic vector and gradient tensor data II: application to the Mount Leyshon anomaly, Queensland, Australia[J]. Exploration Geophysics, 44, 114-127(2013).

    [2] SORRENTINO A, LURIA G, ARAMINI R. Bayesian multi-dipole modelling of a single topography in MEG by adaptive sequential Monte Carlo samplers[J]. Inverse Problems, 30(2014).

    [3] HANSEN C. Magnetic Signature Characterization of a Fixed-wing Vertical Take-off and Landing VTOL Unmanned Aerial Vehicle UAV)[D]. Victoria(2018).

    [4] [4] 4李金朋, 任国全, 张英堂, 等. 改进二维变分模态分解的磁源分离[J]. 光学 精密工程, 2020, 28(5): 1200-1211. doi: 10.3788/OPE.20202805.1200LIJ P, RENG Q, ZHANGY T, et al. Source separation based on improved two-dimensional variational mode decomposition[J]. Opt. Precision Eng., 2020, 28(5): 1200-1211.(in Chinese). doi: 10.3788/OPE.20202805.1200

    [5] LI Q Z, SHI Z Y, LI Z N et al. Preferred configuration and detection limits estimation of magnetic gradient tensor system[J]. IEEE Transactions on Instrumentation and Measurement, 70, 1-14(2021).

    [6] [6] 6李青竹, 李志宁, 张英堂, 等. 磁梯度张量系统传感器阵列的快速旋转校准[J]. 光学 精密工程, 2018, 26(7): 1813-1826. doi: 10.3788/ope.20182607.1813LIQ Z, LIZ N, ZHANGY T, et al. Fast rotation calibration of sensor array in magnetic gradient tensor system[J]. Opt. Precision Eng., 2018, 26(7): 1813-1826.(in Chinese). doi: 10.3788/ope.20182607.1813

    [7] [7] 7李青竹, 李志宁, 张英堂, 等. 张量衍生不变关系下的磁源单点定位[J]. 光学 精密工程, 2019, 27(8): 1880-1893. doi: 10.3788/ope.20192708.1880LIQ Z, LIZ N, ZHANGY T, et al. Magnetic source single-point positioning by tensor derivative invariant relations[J]. Opt. Precision Eng., 2019, 27(8): 1880-1893.(in Chinese). doi: 10.3788/ope.20192708.1880

    [8] [8] 8李青竹, 李志宁, 张英堂, 等. 基于二阶磁张量欧拉反褶积的磁源单点定位方法[J]. 石油地球物理勘探, 2019, 54(4): 915-924, 727. doi: 10.13810/j.cnki.issn.1000-7210.2019.04.024LIQ Z, LIZ N, ZHANGY T, et al. Magnetic source single-point positioning based on second-order magnetic tensor Euler deconvolution[J]. Oil Geophysical Prospecting, 2019, 54(4): 915-924, 727.(in Chinese). doi: 10.13810/j.cnki.issn.1000-7210.2019.04.024

    [9] HANSEN R O, SIMMONDS M. Multiple-source Werner deconvolution[J]. GEOPHYSICS, 58, 1792-1800(1993).

    [10] HANSEN R O. 3D multiple-source Werner deconvolution for magnetic data[J]. GEOPHYSICS, 70, L45-L51(2005).

    [11] [11] 11王林飞, 郭灿灿, 薛典军, 等. 磁梯度张量解析信号分析法及其在场源位置识别中的应用[J]. 地球物理学进展, 2016, 31(3): 1164-1172. doi: 10.6038/pg20160333WANGL F, GUOC C, XUED J, et al. Analytic signals of magnetic gradient tensor and their application to estimate source location[J]. Progress in Geophysics, 2016, 31(3): 1164-1172.(in Chinese). doi: 10.6038/pg20160333

    [12] [12] 12李金朋, 张英堂, 范红波, 等. 基于磁传感器阵列的多磁源参数反演方法[J]. 仪器仪表学报, 2019, 40(10): 28-37. doi: 10.19650/j.cnki.cjsi.J1905361LIJ P, ZHANGY T, FANH B, et al. Multi-magnetic source parameter inversion method based on magnetic sensor array[J]. Chinese Journal of Scientific Instrument, 2019, 40(10): 28-37.(in Chinese). doi: 10.19650/j.cnki.cjsi.J1905361

    [13] UGALDE H, MORRIS W A. Cluster analysis of Euler deconvolution solutions: new filtering techniques and geologic strike determination[J]. GEOPHYSICS, 75, L61-L70(2010).

    [14] BEZDEK J C, EHRLICH R, FULL W. FCM: the fuzzy c-means clustering algorithm[J]. Computers & Geosciences, 10, 191-203(1984).

    [15] DAVIS K, LI Y G, NABIGHIAN M. Automatic detection of UXO magnetic anomalies using extended Euler deconvolution[J]. GEOPHYSICS, 75, G13-G20(2010).

    [16] SUN H J, WANG S R, JIANG Q S. FCM-based model selection algorithms for determining the number of clusters[J]. Pattern Recognition, 37, 2027-2037(2004).

    [17] REN M, LIU P Y, WANG Z H et al. A self-adaptive fuzzy c-means algorithm for determining the optimal number of clusters[J]. Computational Intelligence and Neuroscience, 2016, 2647389(2016).

    [18] CLARK D A. New methods for interpretation of magnetic vector and gradient tensor data I: eigenvector analysis and the normalised source strength[J]. Exploration Geophysics, 43, 267-282(2012).

    [19] MILLER H G, SINGH V. Potential field tilt—a new concept for location of potential field sources[J]. Journal of Applied Geophysics, 32, 213-217(1994).

    [20] [20] 20尹刚, 张英堂, 李志宁, 等. 磁偶极子梯度张量的几何不变量及其应用[J]. 地球物理学报, 2016(2): 749-756. doi: 10.6038/cjg20160232YING, ZHANGY T, LIZ N, et al. Research on geometric invariant of magnetic gradient tensors for a magnetic dipole source and its application[J]. Chinese Journal of Geophysics, 2016(2): 749-756.(in Chinese). doi: 10.6038/cjg20160232

    [21] PAL N R, BEZDEK J C. On cluster validity for the fuzzy c-means model[J]. IEEE Transactions on Fuzzy Systems, 3, 370-379(1995).

    [22] XIE X L, BENI G. A validity measure for fuzzy clustering[J]. IEEE Transactions on pattern analysis and machine intelligence, 13, 841-847(1991).

    [23] BENSAID A M, HALL L O, BEZDEK J C et al. Validity-guided (re)clustering with applications to image segmentation[J]. IEEE Transactions on Fuzzy Systems, 4, 112-123(1996).

    [24] LI Q Z, SHI Z Y, LI Z N et al. Magnetic object positioning based on second-order magnetic gradient tensor system[J]. IEEE Sensors Journal, 21, 18237-18248(2021).

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    Qingzhu LI, Zhining LI, Zhiyong SHI, Hongbo FAN. Multi-target magnetic positioning with the adaptive fuzzy c-means clustering and tensor invariants[J]. Optics and Precision Engineering, 2022, 30(20): 2523

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    Paper Information

    Category: Information Sciences

    Received: Apr. 23, 2022

    Accepted: --

    Published Online: Oct. 27, 2022

    The Author Email: Zhining LI (lgdsxq@163.com)

    DOI:10.37188/OPE.20223020.2523

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