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Regularization in Cardiac Source Imaging

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Functional Imaging and Modeling of the Heart (FIMH 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2674))

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Abstract

Estimation of bioelectric currents in the heart involves the solution of an ill-posed inverse problem in electro- and magnetocardiography. The problem becomes linear in respect to current magnitudes when the equivalent sources are constrained into a pre-determined grid of reconstruction points. Still, a proper regularization is required to obtain physiologically meaningful results. This paper discusses the application of deterministic methods (such as Tikhonov or Wiener regularization) and statistical inversion. The deterministic methods require determination of an optimal regularization parameter, while the statistical inversion relies on application of a prior for the source distribution. Comparison of selected regularization methods is performed with simulated magnetocardiographic data.

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Author information

Authors and Affiliations

  1. Laboratory of Biomedical Engineering, Helsinki University of Technology, P.O. Box 2200, 02015 HUT, Espoo, Finland

    Tuomas Lunttila & Jukka Nenonen

  2. BioMag Laboratory, Helsinki University Central Hospital, P.O. Box 340, 00029 HUCH, Helsinki, Finland

    Jukka Nenonen

  3. Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, 02015 HUT, Espoo, Finland

    Erkki Somersalo

Authors
  1. Tuomas Lunttila
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  2. Jukka Nenonen
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  3. Erkki Somersalo
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Editor information

Editors and Affiliations

  1. CREATIS, INSERM, France

    Isabelle E. Magnin

  2. CREATIS, CNRS, INSA, bâatiment Blaise Pascal, 20, avenue Albert Einstein, 69621, Villeurbanne cedex, France

    Johan Montagnat  & Patrick Clarysse  & 

  3. Institute of Biomedical Engineering, Helsinki University of Technology, P.O. Box 2200, 02015, Hut, Finland

    Jukka Nenonen  & Toivo Katila  & 

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© 2003 Springer-Verlag Berlin Heidelberg

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Lunttila, T., Nenonen, J., Somersalo, E. (2003). Regularization in Cardiac Source Imaging. In: Magnin, I.E., Montagnat, J., Clarysse, P., Nenonen, J., Katila, T. (eds) Functional Imaging and Modeling of the Heart. FIMH 2003. Lecture Notes in Computer Science, vol 2674. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44883-7_11

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  • DOI: https://doi.org/10.1007/3-540-44883-7_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40262-6

  • Online ISBN: 978-3-540-44883-9

  • eBook Packages: Springer Book Archive

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