Backprojection algorithm for electrical impedance imaging

Fadil Santosa, Michael Vogelius

Research output: Contribution to journalArticle

138 Scopus citations

Abstract

The authors study a two-dimensional reconstruction algorithm due to D.C. Barber and B.H. Brown, applied to a linearized electrostatic inverse problem. First, the authors demonstrate how this algorithm fits within the framework of inverses of generalized Radon transforms studied by G. Beylkin. Second, an iterative improvement of the Barber-Brown algorithm is constructed based on the conjugate residual method. Several numerical results obtained with this iterative algorithm are presented.

Original languageEnglish (US)
Pages (from-to)216-243
Number of pages28
JournalSIAM Journal on Applied Mathematics
Volume50
Issue number1
DOIs
StatePublished - Jan 1 1990

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