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dc.rights.availabilityUnrestricted.
dc.creatorXie, Shishen
dc.date.accessioned2016-11-14T23:08:16Z
dc.date.available2011-02-18T22:51:25Z
dc.date.available2016-11-14T23:08:16Z
dc.date.issued1990-05
dc.identifier.urihttp://hdl.handle.net/2346/18981en_US
dc.description.abstractThe problem of observability of a dynamical system that is governed by a partial differential equation is considered. The aim of this paper is to formulate the problem under the assumption of an idealized geometry; coaxial cylinder representing the human torso and cardiac surface. An analytical solution in the form of generalized Fourier series is obtained under this assumption. Finally, the reconstruction of the solution of Laplace's equation from discrete measurements on the boundary is discussed and a numerical algorithm is developed to treat this ill-posed problem. This problem arises in the determination of the electropotential of the epicardial surface from discrete measurements on the torso.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.subjectChesten_US
dc.subjectFourier seriesen_US
dc.subjectElectrocardiographyen_US
dc.subjectHarmonic functionsen_US
dc.titleObservability of Laplace's equation on the cylindrical domain
dc.typeDissertation


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