A harmonic function method for EEG source reconstruction

Hongguang Xi; Jianzhong Su; Hongguang Xi; Jianzhong Su

doi:10.3934/era.2022026

Electronic Research Archive

2022, Volume 30, Issue 2: 492-514. doi: 10.3934/era.2022026

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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

Received: 12 October 2021 Revised: 14 November 2021 Accepted: 16 November 2021 Published: 10 February 2022

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.
- harmonic analysis,
- inverse problem,
- error bounds
Citation: Hongguang Xi, Jianzhong Su. A harmonic function method for EEG source reconstruction[J]. Electronic Research Archive, 2022, 30(2): 492-514. doi: 10.3934/era.2022026

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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.

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