We propose a method for calibration of the systems with multicomponent emitter and sensor. This method guarantees the possibility of simultaneous determination of a collection of parameters of this system. The magnetic-field induction is measured at the points of location of components of the sensor in its motion over the plane with marking specified by a single parameter (size of the cell). The objective function is formed according to the processed data of measurements and its global minimum is found by the methods of nonlinear programming. This problem has a unique solution if one of the magnetic parameters of the system, namely, the transmission coefficient of one component of the sensor or the magnetic moment of one component of the emitter, is a priori known. We propose a procedure for the evaluation of the error of positioning of the multicomponent emitter and magnetic-field sensor.
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G. L. Maksimov, F. V. Nosov, A. D. Fogel,’ V. V. Semenov, and A. A. Eliseeva, “Complex diagnostics of the engineering state of pipelines,” Korroz. Territor. Neftegaz, No. 2(37) (2017).
M. Li, T. Bien, and G. Rose, “FPGA based electromagnetic tracking system for fast catheter navigation,” Int. J. Sci. Eng. Res., 4, Iss. 9, 2566–2570 (2013), DOI: https://doi.org/10.14299/ ijser.2013.09.001.
Yu. M. Ivanov, V. G. Semenov, and K. V. Osipenko, “Angular compatibility of three-component differential magnetometer,” Nauch. Obozren. Tekh. Nauki, No. 2, 42–46 (2017).
Yu. M. Ivanov and V. G. Semenov, “Correcting matrices–a way toward increasing the accuracy of three-component magnetometer,” Izmer. Tekhn., No. 6, 46–51 (2013).
T. Schroeder, “An accurate magnetic field solution for medical electromagnetic tracking coils at close range,” Appl. Phys., 117, 224504 (2015), DOI:https://doi.org/10.1063/1.4922667.
P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization, Academic Press, London (1981).
P. J. Besl and N. D. McKay, “A method for registration of 3-D shapes,” IEEE Trans. Pattern Anal. Mach. Intell., 14, Nо. 2, 239–256 (1992).
A. M. Franz, T. Haidegger, W. Birkfellner, et al., “Electromagnetic tracking in medicine–a review of technology, validation, and applications,” IEEE Trans. Med. Imag., 33, Nо. 8, 1702–1725 (2014).
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Translated from Izmeritel’naya Tekhnika, No. 8, pp. 47–51, August, 2018.
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Batalov, L.А., Nesterov, V.V. Calibration of Multicomponent Magnetic Measuring Systems as an Inverse Problem of Magnetometry. Meas Tech 61, 806–811 (2018). https://doi.org/10.1007/s11018-018-1506-2
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DOI: https://doi.org/10.1007/s11018-018-1506-2