Linear and nonlinear current density reconstructions.

Minimum norm algorithms for EEG source reconstruction are studied in view of their spatial resolution, regularization, and lead-field normalization properties, and their computational efforts. Two classes of minimum norm solutions are examined: linear least squares methods and nonlinear L1-norm appr...

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Published in:Journal of Clinical Neurophysiology Vol. 16; no. 3; pp. 267 - 296
Main Authors: Fuchs, Manfred, Wagner, Michael, Köhler, Thomas, Wischmann, Hans-Aloys, Fuchs, M, Wagner, M, Köhler, T, Wischmann, H A
Format: review Journal Article
Published: Lippincott Williams & Wilkins May1999
Online Access:View this record in EBSCOhost
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      dt: May1999
      vid: 16
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      pub: Lippincott Williams & Wilkins
      place: Baltimore, Maryland
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        10.1097/00004691-199905000-00006
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      tig:
        atl: Linear and nonlinear current density reconstructions.
      aug:
        au:
          Fuchs, Manfred
          Wagner, Michael
          Köhler, Thomas
          Wischmann, Hans-Aloys
          Fuchs, M
          Wagner, M
          Köhler, T
          Wischmann, H A
        affil: Philips Research Laboratories Hamburg, Germany
      sug:
        subj:
          Epilepsy Diagnosis
          Magnetic Resonance Imaging Methods
          Electroencephalography Methods
          Linear Regression
          Algorithms
          Epilepsy Pathology
          Epilepsy Physiopathology
          Signal Processing, Computer Assisted
          Male
          Female
          Image Interpretation, Computer Assisted
          Chaos Theory
          Male
          Female
      ab: Minimum norm algorithms for EEG source reconstruction are studied in view of their spatial resolution, regularization, and lead-field normalization properties, and their computational efforts. Two classes of minimum norm solutions are examined: linear least squares methods and nonlinear L1-norm approaches. Two special cases of linear algorithms, the well known Minimum Norm Least Squares and an implementation with Laplacian smoothness constraints, are compared to two nonlinear algorithms comprising sparse and standard L1-norm methods. In a signal-to-noise-ratio framework, two of the methods allow automatic determination of the optimum regularization parameter. Compensation methods for the different depth dependencies of all approaches by lead-field normalization are discussed. Simulations with tangentially and radially oriented test dipoles at two different noise levels are performed to reveal and compare the properties of all approaches. Finally, cortically constrained versions of the algorithms are applied to two epileptic spike data sets and compared to results of single equivalent dipole fits and spatiotemporal source models.
      pubtype: Academic Journal
      doctype:
        review
        Journal Article
      ougenre: Article
    language: English
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