Variationally Constrained Numerical Solution of Electrical Impedance Tomography

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dc.contributor.authorBorcea, Liliana
dc.contributor.authorGray, Genetha Anne
dc.contributor.authorZhang, Yin
dc.date.accessioned2018-06-18T17:49:16Z
dc.date.available2018-06-18T17:49:16Z
dc.date.issued2002-10
dc.date.noteOctober 2002
dc.description.abstractWe propose a novel, variational inversion methodology for the electrical impedance tomography problem, where we seek electrical conductivity σ inside a bounded, simply connected domain Ω, given simultaneous measurements of electric currents I and potentials V at the boundary. Explicitly, we make use of natural, variational constraints on the space of admissible functions σ, to obtain efficient reconstruction methods which make best use of the data. We give a detailed analysis of the variational constraints, we propose a variety of reconstruction algorithms and we discuss their advantages and disadvantages. We also assess the performance of our algorithms through numerical simulations and comparisons with other, well established, numerical reconstruction methods.
dc.format.extent30 pp
dc.identifier.citationBorcea, Liliana, Gray, Genetha Anne and Zhang, Yin. "Variationally Constrained Numerical Solution of Electrical Impedance Tomography." (2002) <a href="https://hdl.handle.net/1911/101993">https://hdl.handle.net/1911/101993</a>.
dc.identifier.digitalTR02-13
dc.identifier.urihttps://hdl.handle.net/1911/101993
dc.language.isoeng
dc.titleVariationally Constrained Numerical Solution of Electrical Impedance Tomography
dc.typeTechnical report
dc.type.dcmiText
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