Smoothness constraint for cortical dipolar sources estimation

In the last decade, a wide range of approaches have been proposed to estimate the activity of physiological sources from multi-channel electroencephalographic (EEG) data. Two utterly different directions can be distinguished: brain source imaging (BSI) and blind source separation (BSS). While the first approach is based on the inversion of a given forward model, the latter blindly decomposes the EEG mixing by optimization of a contrast function excluding any physiological priors on the problem. All these methods have proven their ability in reconstructing efficiently the source activities in some well adapted situations. Nevertheless, the synthesis of a reliable lead field model for BSI is computationally demanding, and the criterion to be optimized in BSS are often inadequate with regards to the physiology of the problem. In this paper, a compromise between these two methodological trends is introduced. A BSS method is described taking account of physiological knowledge on the projection of the sources on the scalp map in conjunction with strong priors on the localization of the recorded sources. This estimation method is demonstrated to lead to a generalization of the classical Hjorth´s laplacian montage, and provides satisfactory simulation results when the appropriate configurations on the sources are met.