Spatial sampling and filtering of EEG with spline Laplacians to estimate cortical potentials

Ramesh Srinivasan1,2, Paul L. Nunez3, Don M. Tucker2,1, Richard B. Silberstein4, Peter J. Cadusch4
1Institute of Cognitive and Decision Sciences, Department of Psychology, University of Oregon, Eugene, USA
2Electrical Geodesics, Inc., Eugene, USA
3Brain Physics Group, Dept. of Biomedical Engineering,, Tulane University,, New Orleans,, USA
4Centre for Applied Neurosciences and Department of Physics, Swinburne University of Technology, Melbourne, Australia

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Bertrand, O., Perrin, F., and Pernier, J. A theoretical justification of the average reference in topographic evoked potential studies. Electroencephalography and clinical Neurophysiology, 1985, 62: 462?464.

Friedrich, R., Fuchs, A., and Haken, H., Spatiotemporal EEG patterns. In: Rhythms in Physiological Systems. H. Haken, and H.P. Koepchen (eds.), Springer Verlag, Berlin, 1991.

Gevins, A.S., Le, J., Martin, N.K., and Reutter, B. High resolution EEG: 124-channel recording, spatial deblurring, and MRI integration methods. Electroencephalography and Clinical Neurophysiology, 1994, 90: 337?358.

Katznelson, R.D. EEG recording, electrode placement, and aspects of generator localization. Ch. 6 in Electric Fields of the Brain: The Neurophysics of EEG, P.L. Nunez, Oxford University, New York, 1981.

Law, S.K. Thickness and resistivity variations over the upper surface of the human skull. Brain. Topography, 1993, 6: 99?110.

Law, S.K., Nunez, P.L. and Wijesinghe, R.S. High Resolution EEG using spline generated surface Laplacians on spherical and ellipsoidal surfaces. IEEE Transactions on Biomedical Engineering, 1993, 40(2): 145?152.

McLeod, M.G. and Coleman, P.J. Spatial power spectra of the crustal geomagnetic field. Physics of the Earth and Planetary Interiors, 1980, 23: P5-P19.

McLeod, M.G. Orthogonality of spherical harmonic coefficients. Physics of the Earth and Planetary Interiors, 1980, 23: P1-P4.

Nunez, P.L. Electric Fields of the Brain: The Neurophysics of EEG. Oxford University, New York, 1981.

Nunez, P.L. Silberstein, R.B., Cadusch, P.J., and Wijesinghe, R.S. Comparison of high resolution methods having different theoretical bases. Brain Topography, 1993, 5: 361?364.

Nunez, P.L. Silberstein, R.B., Cadusch, P.J., Wijesinghe, R.S., Westdorp, A.F., and Srinivasan, R. Atheoretical and experimental study of high resolution EEG based on surface Laplacians and cortical imaging. Electroencephalography and Clinical Neurophysiology, 1994, 90: 40?57.

Nunez, P.L. Neocortical Dynamics and Human EEG Rhythms. Oxford University, New York, 1995.

Perrin, F., Bertrand, O., and Pernier, J. Scalp current density mapping: value and estimation from potential data. IEEE Transactions on Biomedical Engineering, 1987, 34(4): 283?289.

Perrin, F., Pernier, J., Bertrand, O., and Echallier, J.F. Spherical splines for scalp potential and current density mapping. Electroencephalography and Clinical Neurophysiology, 1989, 72: 184?187.

Shaw, G.R. Spherical Harmonic Analysis of the Electroencephalogram. Ph. D. Thesis, University of Alberta, Edmonton, 1989.

Silberstein, R.B. and Cadusch, P.J. Measurement processes and spatial principal components analysis. Brain Topography, 1992, 4(4): 267?276.

Silberstein, R.B. Steady-state visually evoked potentials, brain resonances, and cognitive processes. Ch. 6 in Neocortical Dynamics and Human EEG Rhythms, P.L. Nunez, Oxford University, New York, 1995.

Srinivasan, R. A Theoretical and Experimental Study of Neocortical Dynamics. Ph.D. Dissertation, Tulane University, New Orleans, 1995.

Tucker, D.M. Spatial sampling of head electrical fields: The geodesic sensor net. Electroencephalography and Clinical Neurophysiology, 1993, 87: 154?163.

Tucker, D. M., Liotti, M., Potts, G. F., Russell, G. S., and Posner, M. I. Spatiotemporal Analysis of Brain Electrical Fields. Human Brain Mapping, 1994, 1: 134?152.

Wahba, G. Spline interpolation and smoothing on a sphere. SIAM Jounal on Scientific and Statistical Computing, 1980, 2: 5?16.

Yan, Y., Nunez, P.L.and Hart, R.T. A finite element model of the human head: Scalp potentials due to dipole sources. Medical and Biological Engineering and Computing, 1991, 29: 475?481.