An inverse problem of magnetic source localization
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The localization of magnetic sources by measurements of their magnetic fields is a typical ill-posed inverse problem. Using a parametrized model, a method is described for determining the positions of a moving magnetized marker, and information about the solution uncertainty is given. The method is successfully applied to a test which involves observing the movement of a marker ingested by a volunteer. This test could provide the basis of a novel tool for non-invasive examination of gastrointestinal activity.
KeywordsInverse problem magnetic field multipole expansion maximum likelihood principle least squares method Levenberg-Marquardt algorithm error propagation error sensitivity
AMS(MOS) subject classification62P99 65D10 78A25
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