Title | ||
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Effects of geometric head model perturbations on the EEG forward and inverse problems. |
Abstract | ||
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We study the effect of geometric head model pertur- bations on the electroencephalography (EEG) forward and inverse problems. Small magnitude perturbations of the shape of the head could represent uncertainties in the head model due to errors on images or techniques used to construct the model. They could also represent small scale details of the shape of the surfaces not de- scribed in a deterministic model, such as the sulci and fissures of the cortical layer. We perform a first-order perturbation analysis, using a meshless method for computing the sensitivity of the so- lution of the forward problem to the geometry of the head model. The effect on the forward problem solution is treated as noise in the EEG measurements and the Cramér-Rao bound is computed to quantify the effect on the inverse problem performance. Our re- sults show that, for a dipolar source, the effect of the perturbations on the inverse problem performance is under the level of the un- certainties due to the spontaneous brain activity. Thus, the results suggest that an extremely detailed model of the head may be un- necessary when solving the EEG inverse problem. |
Year | DOI | Venue |
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2006 | 10.1109/TBME.2005.869769 | IEEE Trans. Biomed. Engineering |
Keywords | Field | DocType |
solid modeling,first order,inverse problems,perturbation analysis,noise measurement,cramer rao bound,stochastic modeling,computer simulation,electroencephalography,uncertainty,head,inverse problem,stochastic model,brain mapping,eeg,shape,computational geometry | Magnitude (mathematics),Computer vision,Mathematical optimization,Perturbation theory,Computer science,Mathematical analysis,Deterministic system,Inverse problem,Artificial intelligence,Electroencephalography,Perturbation (astronomy) | Journal |
Volume | Issue | ISSN |
53 | 3 | 0018-9294 |
Citations | PageRank | References |
9 | 1.77 | 6 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nicolás von Ellenrieder | 1 | 20 | 4.13 |
C. Muravchik | 2 | 543 | 68.59 |
Arye Nehorai | 3 | 1257 | 126.92 |