Direct numerical reconstruction of conductivities in three dimensions using scattering transforms

Jutta Bikowski, Kim Knudsen, Jennifer L Mueller

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    A direct three-dimensional EIT reconstruction algorithm based on complex geometrical optics solutions and a nonlinear scattering transform is presented and implemented for spherically symmetric conductivity distributions. The scattering transform is computed both with a Born approximation and from the forward problem for purposes of comparison. Reconstructions are computed for several test problems. A connection to Calderón's linear reconstruction algorithm is established, and reconstructions using both methods are compared.
    Original languageEnglish
    JournalInverse Problems
    Volume27
    Issue number1
    Pages (from-to)015002
    ISSN0266-5611
    DOIs
    Publication statusPublished - 2011

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