2009
DOI: 10.3390/s91108852
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Ferromagnetic Mass Localization in Check Point Configuration Using a Levenberg Marquardt Algorithm

Abstract: A detection and tracking algorithm for ferromagnetic objects based on a two stage Levenberg Marquardt Algorithm (LMA) is presented. The procedure is applied to localization and magnetic moment estimation of ferromagnetic objects moving in the vicinity of an array of two to four 3-axis magnetometers arranged as a check point configuration. The algorithms first stage provides an estimation of the target trajectory and moment that are further refined using a second iteration where only the position vector is take… Show more

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Cited by 17 publications
(12 citation statements)
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“…The optimization problem was solved using the algorithm propose in Wahlström [2010], Alimi [2009] and Gustafsson [2010] based on nonlinear weighted least squares method (NWLS ). The algorithm was initiated using the values given in column ini.…”
Section: State Estimationmentioning
confidence: 99%
“…The optimization problem was solved using the algorithm propose in Wahlström [2010], Alimi [2009] and Gustafsson [2010] based on nonlinear weighted least squares method (NWLS ). The algorithm was initiated using the values given in column ini.…”
Section: State Estimationmentioning
confidence: 99%
“…In the cold war, magnetic systems were used to detect submarines [ 3 ]. Magnetic systems can also be used to detect concealed ferromagnetic objects carried by people inspected in a security check point [ 4 ].…”
Section: Introductionmentioning
confidence: 99%
“…Zachmann tried correcting magnetic measurements by gathering calibration samples of magnetic field in a volume of tracking space [15]. Some authors tried using these distortions for detection and low accuracy tracking of metallic objects [16], [17]. Magnetic field produced by permanent magnets locally overshadow earth's, thus extensive research have been done on reverse problem of tracking permanently magnetised markers with relation to magnetometer and (most often) arrays of magnetometers [18], [19], [20], [21].…”
Section: Introductionmentioning
confidence: 99%