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Mathematical questions of a biomagnetic imaging problem

  • Medical Imaging Techniques
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Mathematical Methods in Tomography

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1497))

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Abstract

A simple mathematical model used in the first commercial scanners for the biomagnetic imaging problem is considered. We discuss the restrictions in the resolution inherent in the mathematical model. It is shown that only the position of the dipole is computable not its strength. An approximate inversion formula is derived which results in a very efficient algorithm.

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität des Saarlandes, D-6600, Saarbrücken, Germany

    Alfred K. Louis

Authors
  1. Alfred K. Louis
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Editor information

Editors and Affiliations

  1. Department of Radiology, University of Pennsylvania, Philadelphia, PA, 19104, USA

    Gabor T. Herman

  2. Fachbereich Mathematik, Universität des Saarlandes, 6600, Saarbrücken, Germany

    Alfred K. Louis

  3. Institut für Numerische und Instrumentelle Mathematik, Universität Münster, Einsteinstraße 62, 4400, Münster, Germany

    Frank Natterer

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© 1991 Springer-Verlag Berlin Heidelberg

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Louis, A.K. (1991). Mathematical questions of a biomagnetic imaging problem. In: Herman, G.T., Louis, A.K., Natterer, F. (eds) Mathematical Methods in Tomography. Lecture Notes in Mathematics, vol 1497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084513

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  • DOI: https://doi.org/10.1007/BFb0084513

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54970-3

  • Online ISBN: 978-3-540-46615-4

  • eBook Packages: Springer Book Archive

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