Autors: Dakov, I. B., Venkov, G. P.
Title: Discrete Laplace-Beltrami Operators for Cortical Bioelectric Source Imaging
Keywords: Continuous and discrete Laplace-Beltrami operator; bioelectrical source localization; EEG

Abstract: This paper introduces a method for solving the bioelectric inverse problem for source localization of a human brain activity measured with electroencephalography (EEG). The method is based on Laplacian minimization as a smoothness constraint. In contrast to the already published method LORETA [10] on 3 dimensional regular rectangular grid a modification is proposed for applying LORETA on 2 dimensional triangulated cortical surface instead and, consequently, using the Laplace- Beltrami operator (LBO) that is an analogue to the usual Laplace operator in the 3D Cartesian space. This suggestion is based on the knowledge that the brain activity measured by EEG is supposed to be located predominantly in the cerebral cortex. Since the problem, which has to be solved, is defined on a discrete cortical mesh, a variety of discrete LBOs is investigated.

References

    Issue

    AMEE'14, vol. 1631, pp. 135-146, 2014, Bulgaria, AIP Conf. Proc., DOI 978-0-7354-1270-5/0094-243X

    Copyright American Institute of Physics

    Вид: публикация в международен форум, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science