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A filtering approach to the two-dimensional volume conductor forward and inverse problems (biomedical application)

dc.contributor.authorXydis, T. G.en_US
dc.contributor.authorYagle, Andrew E.en_US
dc.contributor.authorKadish, Alan H.en_US
dc.date.accessioned2006-12-19T19:14:06Z
dc.date.available2006-12-19T19:14:06Z
dc.date.issued1991-04-01en_US
dc.identifier.citationXydis, T G; Yagle, A E; Kadish, A H (1991). "A filtering approach to the two-dimensional volume conductor forward and inverse problems (biomedical application)." Inverse Problems. 7(2): 307-327. <http://hdl.handle.net/2027.42/49096>en_US
dc.identifier.issn0266-5611en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/49096
dc.description.abstractThe two-dimensional layered volume conductor forward and inverse problems are solved by modelling the medium as an equivalent two-dimensional filter relating the source and measured potentials. This extends previous results to the multi-dimensional multi-layered case. In principle, the inverse problem can be solved as easily as the forward problem, using 2D FFT algorithms. In fact, it is ill-conditioned and must be regularized. The authors show that Tikhonov regularization, constrained least-squares regularization, and stochastic regularization using a Wiener filter all lead to the same spatial low-pass regularizing filter. New contributions include: (1) extension of the medium filter concept from one to two dimensions; (2) a simple layer-recursive formula for computing the medium filter for a layered medium; and (3) application of various regularization techniques, in the form of regularizing filters, to this problem.en_US
dc.format.extent3118 bytes
dc.format.extent918561 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherIOP Publishing Ltden_US
dc.titleA filtering approach to the two-dimensional volume conductor forward and inverse problems (biomedical application)en_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationotherDept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherDept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherDept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/49096/2/ip910211.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1088/0266-5611/7/2/011en_US
dc.identifier.sourceInverse Problems.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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