Localization of MEG and EEG Brain Signals by Alternating Projection

Amir Adler, Mati Wax, Dimitrios Pantazis

A popular approach for modeling brain activity in MEG is a set of current dipoles, where each dipole represents the combined activation of a local area of the brain. Here, we address the problem of multiple dipole localization in MEG with a novel solution called Alternating Projection (AP). The solution is sequential and iterative, and is based on minimizing the least-squares (LS) criterion by the AP algorithm. Results from simulated, phantom, and human MEG data demonstrated robust performance, with consistently superior localization accuracy than popular scanning methods belonging to the beamformer and multiple-signal classification (MUSIC) families. Importantly, the proposed solution is more robust to forward model errors resulting from head rotations and translations, as well as different cortex tessellation grids for the forward and inverse solutions, with a significant advantage in low SNR and highly correlated sources.


MATLAB analysis

MEG simulation and real phantom data and code to localize sources with the Alternating Projection (AP) method are available here: Alternating Projection Code & Data

The phantom data were obtained from the MEG current phantom (Elekta-Neuromag) Brainstorm tutorial.


Python analysis

MNE-Python example code to compare the AP method against RAP-MUSIC is available here: MNE-Python Example

Download the code files and data here: MNE-Python Code & Data


References

For more information see the related publications:

Amir Adler, Mati Wax, and Dimitrios Pantazis. Localization of Brain Signals by Alternating Projection. Biomedical Signal Processing and Control 90 (2024): 105796. doi: 10.1016/j.bspc.2023.105796

Amir Adler, Mati Wax, and Dimitrios Pantazis. Brain Source Localization by Alternating Projection. 2022 IEEE 19th International Symposium on Biomedical Imaging (ISBI), Kolkata, India, 2022, pp. 1-5, doi: 10.1109/ISBI52829.2022.9761604.