A reconstruction algorithm for point-wise sources in a two-dimension electroencephalography model

This paper proposes a computing algorithm for reconstructing point-wise sources in an inverse electroencephalography problem, where only a two- dimension model for boundary problem of Poisson equation is considered. Based on the variational form of this boundary value problem, we select a special form of complex polynomial as the test function, and then derive an algebraic relationship among the source parameters. Then the point-wise sources can be reconstructed by using an algebraic direct method. We present that this algebraic direct algorithm is suitable for both monopole sources and dipole sources. Finally, a few numerical examples are demonstrated to verify the efficiency of this algorithm.