Numerical Algorithms

, Volume 5, Issue 12, pp 603–610 | Cite as

An inverse problem of magnetic source localization

  • R. Model
  • L. Trahms


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.


Inverse problem magnetic field multipole expansion maximum likelihood principle least squares method Levenberg-Marquardt algorithm error propagation error sensitivity 

AMS(MOS) subject classification

62P99 65D10 78A25 


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Copyright information

© J. C. Baltzer AG, Science Publishers 1993

Authors and Affiliations

  • R. Model
    • 1
  • L. Trahms
    • 1
  1. 1.Physikalisch-Technische BundesanstaltInstitut BerlinBerlinGermany

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