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Mathematical questions of a biomagnetic imaging problem

Medical Imaging Techniques

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

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.

Keywords

  • Integral Operator
  • Simple Mathematical Model
  • Minimum Norm Solution
  • Lead Field
  • Linear Operator Equation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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