Reconstruction of electroencephalographic data using radial basis functions

• Published in: Clinical neurophysiology Vol. 127; no. 4; pp. 1978 - 1983
• Main Authors: Jäger, Janin, Klein, Alexander, Buhmann, Martin, Skrandies, Wolfgang
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01.04.2016
• Subjects: 3D interpolation; Brain - physiology; Brain Mapping - instrumentation; Brain Mapping - methods; EEG; Electrodes; Electroencephalography - instrumentation; Electroencephalography - methods; Female; Humans; Male; Neurology; Radial basis functions; Scalp - physiology; Spatial Analysis; Spherical interpolation; Spherical splines; Statistics as Topic - methods; 3D interpolation; Radial basis functions; Spherical splines; EEG; Spherical interpolation; 3D Interpolation
• ISSN: 1388-2457; 1872-8952
• DOI: 10.1016/j.clinph.2016.01.003

•A new interpolation method for EEG reconstruction is introduced.•The predictive value of the new technique is superior to some commonly used interpolation methods.•40 samples from 10 subjects were investigated by cross-validation. In this paper we introduce a new interpolation method to use for scalp potential interpolation. The predictive value of this new interpolation technique (the multiquadric method) is compared to commonly used interpolation techniques like nearest-neighbour averaging and spherical splines. The method of comparison is cross-validation, where the data of one or two electrodes is predicted by the rest of the data. The difference between the predicted and the measured data is used to determine two error measures. One is the maximal error in one interpolation technique and the other is the mean square error. The methods are tested on data stemming from 30 channel EEG of 10 healthy volunteers. The multiquadric interpolation methods performed best regarding both error measures and have been easier to calculate than spherical splines. Multiquadrics are a good alternative to commonly used EEG reconstruction methods. Multiquadrics have been widely used in reconstruction on sphere-like surfaces, but until now, the advantages have not been investigated in EEG reconstruction.