A Direct Numerical Reconstruction Algorithm for the 3D Calderón Problem

Publication: Research - peer-reviewConference article – Annual report year: 2011

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In three dimensions Calderón's problem was addressed and solved in theory in the 1980s in a series of papers, but only recently the numerical implementation of the algorithm was initiated. The main ingredients in the solution of the problem are complex geometrical optics solutions to the conductivity equation and a (non-physical) scattering transform. The resulting reconstruction algorithm is in principle direct and addresses the full non-linear problem immediately. In this paper we will outline the theoretical reconstruction method and describe how the method can be implemented numerically. We will give three different implementations, and compare their performance on a numerical phantom.
Original languageEnglish
Book seriesJournal of Physics: Conference Series (Print)
Publication date2011
Volume290
Pages012003
ISSN1742-6588
DOIs
StatePublished

Conference

ConferenceInternational Conference on Inverse Problems
CityHong Kong
Period01/01/10 → …
CitationsWeb of Science® Times Cited: 2
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