Improving the performance of linear inverse solutions by inverting the resolution matrix

IEEE Transactions on Bio-medical Engineering
Rolando Grave de Peralta MenendezSara L Gonzalez Andino

Abstract

This paper proposes a new strategy for improving the localization capabilities of linear inverse solutions, based on the relationship between the real solution and the estimated solution as described by the resolution matrix equation. Specifically, we present two alternatives based on either the partial or total inversion of the resolution matrix and applied them to the minimum norm solution, which is known for its poor performance in three-dimensional (3-D) localization problems. The minimum norm transformed inverse showed a clear improvement in 3-D localization. The strong dependence of localization errors with the eccentricity of the sources, characteristic of this solution, disappears after the proposed transformation. A similar effect is illustrated, using a realistic example where multiple generators at striate areas are active. While the original minimum norm incorrectly places the generators at extrastriate cortex, the transformed minimum norm localizes, for the example considered, the sources at their correct eccentricity with very low spatial blurring.

References

Jun 1, 1981·IEEE Transactions on Bio-medical Engineering·J P AryD H Fender
Mar 1, 1996·IEEE Transactions on Bio-medical Engineering·K Sekihara, B Scholz
Apr 29, 1998·IEEE Transactions on Bio-medical Engineering·R Grave de Peralta-Menendez, S L Gonzalez-Andino
Jul 30, 1999·Journal of Clinical Neurophysiology : Official Publication of the American Electroencephalographic Society·M FuchsH A Wischmann

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Citations

Sep 8, 2004·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·Christoph M MichelRolando Grave de Peralta
Jul 22, 2005·Human Brain Mapping·Lourens J WaldorpPeter C M Molenaar

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