A filtering approach to the two-dimensional volume conductor forward and inverse problems (biomedical application)
dc.contributor.author | Xydis, T. G. | en_US |
dc.contributor.author | Yagle, Andrew E. | en_US |
dc.contributor.author | Kadish, Alan H. | en_US |
dc.date.accessioned | 2006-12-19T19:14:06Z | |
dc.date.available | 2006-12-19T19:14:06Z | |
dc.date.issued | 1991-04-01 | en_US |
dc.identifier.citation | Xydis, 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.issn | 0266-5611 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/49096 | |
dc.description.abstract | The 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.extent | 3118 bytes | |
dc.format.extent | 918561 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | A filtering approach to the two-dimensional volume conductor forward and inverse problems (biomedical application) | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationother | Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/49096/2/ip910211.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/0266-5611/7/2/011 | en_US |
dc.identifier.source | Inverse Problems. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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