Neural current imaging aims at analyzing the functionality of the human brain through the localization of those regions where the neural current flows. The reconstruction of an electric current distribution from its magnetic field measured in the outer space, gives rise to a highly ill-posed and ill-conditioned inverse problem. We use a joint sparsity constraint as a regularization term and we propose an efficient iterative thresholding algorithm to recover the current distribution. Some numerical tests are also displayed.

AN ITERATIVE THRESHOLDING ALGORITHM FOR THE NEURAL CURRENT IMAGING / Bretti, Gabriella; Pitolli, Francesca. - STAMPA. - 82:(2010), pp. 134-145. (Intervento presentato al convegno 9th Conference of the Italian-Society-for-Applied-and-Industrial-Mathematics tenutosi a Rome, ITALY nel SEP 15-19, 2008) [10.1142/9789814280303_0012].

AN ITERATIVE THRESHOLDING ALGORITHM FOR THE NEURAL CURRENT IMAGING

BRETTI, GABRIELLA;PITOLLI, Francesca
2010

Abstract

Neural current imaging aims at analyzing the functionality of the human brain through the localization of those regions where the neural current flows. The reconstruction of an electric current distribution from its magnetic field measured in the outer space, gives rise to a highly ill-posed and ill-conditioned inverse problem. We use a joint sparsity constraint as a regularization term and we propose an efficient iterative thresholding algorithm to recover the current distribution. Some numerical tests are also displayed.
2010
9th Conference of the Italian-Society-for-Applied-and-Industrial-Mathematics
magnetoencephalograpy; sparsity constraint; electric current imaging; multiscale basis; inverse problem; iterative thresholding; neuroimaging
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
AN ITERATIVE THRESHOLDING ALGORITHM FOR THE NEURAL CURRENT IMAGING / Bretti, Gabriella; Pitolli, Francesca. - STAMPA. - 82:(2010), pp. 134-145. (Intervento presentato al convegno 9th Conference of the Italian-Society-for-Applied-and-Industrial-Mathematics tenutosi a Rome, ITALY nel SEP 15-19, 2008) [10.1142/9789814280303_0012].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/153832
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