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Research Article | Open Access

A harmonic function method for EEG source reconstruction

Hongguang Xi, Jianzhong Su( )
Department of Mathematics, The University of Texas at Arlington, Arlington, TX 76019, USA
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Abstract

In this paper we study a harmonic function method for dipolar source reconstruction, and implemented the numerical simulations. We propose a new error estimate and provide a rigorous proof of the estimate. Then, we validate our method in computer-simulated data and study its numerical stability in different noise levels. It is shown that the harmonic function method can be used to quickly and accurately locate the active regions in EEG source reconstruction.

Keywords

harmonic analysisinverse problemerror bounds

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Electronic Research Archive
Volume 30 Issue 2,
February 2022
Pages 492-514
DOI: 10.3934/era.2022026

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Cite this article:
Xi H, Su J. A harmonic function method for EEG source reconstruction. Electronic Research Archive, 2022, 30(2): 492-514. https://doi.org/10.3934/era.2022026

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Received: 12 October 2021
Revised: 14 November 2021
Accepted: 16 November 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)