Numerical analysis of spline generated surface Laplacian for ellipsoidal head geometry

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dc.contributor.advisor Wijesinghe, Ranjith S. en_US Poltera, Carina M. en_US 2011-06-03T19:41:16Z 2011-06-03T19:41:16Z 2007 en_US 2007
dc.identifier LD2489.Z78 2007 .P65 en_US
dc.description.abstract Electroencephalography (EEG) is a valuable tool for clinical and cognitive applications. EEG allows for measuring and imaging of scalp potentials emitted by brain activity and allows researchers to draw conclusions about underlying brain activity and function. However EEG is limited by poor spatial resolution due to various factors. One reason is the fact that EEG electrodes are separated from current sources in the brain by cerebrospinal fluid (CSF), the skull, and the scalp. Unfortunately the conductivities of these tissues are not yet well known which limits the spatial resolution of EEG.Based on prior research, spatial resolution of the EEG can be improved via use of various mathematical techniques that provide increased accuracy of the representation of scalp potentials. One such method is the surface Laplacian. It has been shown to be a direct approach to improving EEG spatial resolution. Yet this approach depends on a geometric head model and much work has been done on assuming the human head to be spherical.In this project, we will develop a mathematical model for ellipsoidal head geometry based on surface Laplacian calculations by Law [1]. The ellipsoidal head model is more realistic to the human head shape and can therefore improve accuracy of the EEG imaging calculations. We will construct a computational program that utilizes the ellipsoidal head geometry in hopes to provide a more accurate representation of data fits compared to the spherical head models. Also, we will demonstrate that the spline surface Laplacian calculations do indeed increase the spatial resolution thereby affording a greater impact to the clinical and cognitive study community involving EEG.
dc.description.sponsorship Department of Physics and Astronomy
dc.format.extent viii, 138 leaves : ill. ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Spline theory. en_US
dc.subject.lcsh Harmonic functions. en_US
dc.subject.lcsh Electroencephalography -- Measurement. en_US
dc.subject.lcsh Electroencephalography -- Computer simulation. en_US
dc.title Numerical analysis of spline generated surface Laplacian for ellipsoidal head geometry en_US Thesis (M.S.)
dc.identifier.cardcat-url en_US

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  • Master's Theses [5589]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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