A Direct Numerical Reconstruction Algorithm for the 3D Calderón Problem

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    Abstract

    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)
    Volume290
    Pages (from-to)012003
    ISSN1742-6588
    DOIs
    Publication statusPublished - 2011
    EventInternational Conference on Inverse Problems - Hong Kong
    Duration: 1 Jan 2010 → …

    Conference

    ConferenceInternational Conference on Inverse Problems
    CityHong Kong
    Period01/01/2010 → …

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