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Resolution matrix computation.
The resolution matrix R = K @ G describes how source activity is
mapped through the inverse and forward operators. It characterises
the spatial blurring (leakage) of the inverse solution:
- For an ideal inverse,
R = I(perfect localisation). - In practice, each row of
Rshows how activity at one source “leaks” to all other sources.
§Metrics
- Peak localisation error: distance between the true source and the peak of the corresponding PSF.
- Spatial spread: width of the PSF (e.g., half-max radius).
- Relative amplitude: ratio of peak to off-peak activity.
§References
Hauk et al. (2011). “Comparison of noise-normalized minimum norm estimates for MEG analysis using a visual paradigm.” NeuroImage.
Ported from MNE-Python’s mne.minimum_norm.resolution_matrix.
Functions§
- get_
cross_ talk - Cross-talk function (CTF) for a given source index.
- get_
point_ spread - Point-spread function (PSF) for a given source index.
- make_
resolution_ matrix - Compute the resolution matrix
R = K @ G. - peak_
localisation_ error - Compute peak localisation error for each source.
- relative_
amplitude - Compute relative amplitude for each PSF.
- spatial_
spread - Compute spatial spread (half-max width) for each PSF.