FEM-based Scalp-to-Cortex EEG data mapping via the solution of the Cauchy problem

Nikolay Koshev, Nikolay Yavich, Mikhail Malovichko, Ekaterina Skidchenko, Maxim Fedorov

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)


    We propose an approach and the numerical algorithm for mapping the electroencephalographic (EEG) data from the scalp to the cortex. The algorithm is based on the solution of ill-posed Cauchy problem for the Laplace's equation using tetrahedral finite elements. The FEM-based scheme allows to calculate the volumetric distribution of a potential over the head volume. We demonstrate the usage of the the algorithm for accurate estimation of the depth of electric sources in the head. The algorithm sufficiently increases the spatial resolution of the EEG technique making it comparable with intracranial techniques.

    Original languageEnglish
    Pages (from-to)517-532
    Number of pages16
    JournalJournal of Inverse and Ill-Posed Problems
    Issue number4
    Publication statusPublished - 1 Aug 2020


    • Cauchy problem
    • data mapping
    • ill-posed problem
    • source localization
    • super resolution


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