Variationally Constrained Numerical Solution of Electrical Impedance Tomography

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dc.contributor.authorBorcea, Lilianaen_US
dc.contributor.authorGray, Genetha Anneen_US
dc.contributor.authorZhang, Yinen_US
dc.date.accessioned2018-06-18T17:49:16Zen_US
dc.date.available2018-06-18T17:49:16Zen_US
dc.date.issued2002-10en_US
dc.date.noteOctober 2002en_US
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.en_US
dc.format.extent30 ppen_US
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>.en_US
dc.identifier.digitalTR02-13en_US
dc.identifier.urihttps://hdl.handle.net/1911/101993en_US
dc.language.isoengen_US
dc.titleVariationally Constrained Numerical Solution of Electrical Impedance Tomographyen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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