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dc.contributor.advisorDallas, William J.en_US
dc.contributor.authorCameron, Seth Andrew, 1967-*
dc.creatorCameron, Seth Andrew, 1967-en_US
dc.date.accessioned2013-04-03T13:35:02Z
dc.date.available2013-04-03T13:35:02Z
dc.date.issued1990en_US
dc.identifier.urihttp://hdl.handle.net/10150/278738
dc.description.abstractA novel Fourier technique for solving a wide variety of boundary value problems is introduced. The technique, called Fourier projection, is based on the geometric properties of vector calculus operators in reciprocal space. Fourier projection decomposes arbitrary vector fields into collections of irrotational and/or divergenceless dipole subfields. For well-posed problems, Fourier projection algorithms can calculate unknown field values from a knowledge of primary sources and boundary conditions. Specifically, this technique is applied to several problems associated with biomagnetic imaging, including volume current calculations and equivalent surface current solutions. In addition, a low-cost magnetic field mapping system designed to aid reconstruction algorithm development is described.
dc.language.isoen_USen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.subjectMathematics.en_US
dc.subjectHealth Sciences, Radiology.en_US
dc.titleNovel Fourier methods for biomagnetic boundary value problemsen_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.levelmastersen_US
dc.identifier.proquest1342954en_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.nameM.S.en_US
dc.identifier.bibrecord.b26621848en_US
refterms.dateFOA2018-06-17T11:27:54Z
html.description.abstractA novel Fourier technique for solving a wide variety of boundary value problems is introduced. The technique, called Fourier projection, is based on the geometric properties of vector calculus operators in reciprocal space. Fourier projection decomposes arbitrary vector fields into collections of irrotational and/or divergenceless dipole subfields. For well-posed problems, Fourier projection algorithms can calculate unknown field values from a knowledge of primary sources and boundary conditions. Specifically, this technique is applied to several problems associated with biomagnetic imaging, including volume current calculations and equivalent surface current solutions. In addition, a low-cost magnetic field mapping system designed to aid reconstruction algorithm development is described.


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