Title

A Direct Reconstruction Method for Anisotropic Electrical Impedance Tomography

Document Type

Article

Language

eng

Publication Date

2014

Publisher

IOP Publishing

Source Publication

Inverse Problems

Source ISSN

0266-5611

Original Item ID

doi: 10.1088/0266-5611/30/7/075007

Abstract

A novel computational, non-iterative and noise-robust reconstruction method is introduced for the planar anisotropic inverse conductivity problem. The method is based on bypassing the unstable step of the reconstruction of the values of the isothermal coordinates on the boundary of the domain. Non-uniqueness of the inverse problem is dealt with by recovering the unique isotropic conductivity that can be achieved as a deformation of the measured anisotropic conductivity by isothermal coordinates. The method shows how isotropic D-bar reconstruction methods have produced reasonable and informative reconstructions even when used on EIT data known to come from anisotropic media, and when the boundary shape is not known precisely. Furthermore, the results pave the way for regularized anisotropic EIT. Key aspects of the approach involve D-bar methods and inverse scattering theory, complex geometrical optics solutions and quasi-conformal mapping techniques.

Comments

Inverse Problems, Vol. 30, No. 7 (2014). DOI.

Sarah Hamilton was affiliated with the University of Helsinki at the time of publication.