Work

Direct numerical reconstruction of conductivities in three dimensions

Year: 2010

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1003.3764

Authors: Bikowski, Jutta, Knudsen, Kim, Mueller, Jennifer

Institutions: Forschungszentrum Jülich, Technical University of Denmark, Colorado State University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: The D-bar Method in Electrical Impedance Tomography

OpenAlex ID: W1507258917

Cites: 26

Cited by: 1

Related to: 20