A piecewise-constant binary model for electrical impedance tomography

Nicolay M. Tanushev; Luminita Vese

doi:10.3934/ipi.2007.1.423

Article Contents

2007, Volume 1, Issue 2: 423-435. Doi: 10.3934/ipi.2007.1.423

This issue Previous Article Model distortions in Bayesian MAP reconstruction Next Article

A piecewise-constant binary model for electrical impedance tomography

Nicolay M. Tanushev^1, and
Luminita Vese^1,

1.
Department of Mathematics, University of California, Los Angeles, 405 Hilgard Avenue,Los Angeles, CA 90095-1555

Received: December 31, 2006

Published: April 2007

Abstract Related Papers Cited by

Abstract

In this paper, we consider the electrical impedance tomography problem in a computational approach. This inverse problem is the recovery of the electrical conductivity $\sigma$ in a domain from boundary measurements, given in the form of the Neumann-to-Dirichlet map. We formulate the inverse problem as a variational one, with a fitting term and a regularization term. We restrict the minimization with respect to the unknown $\sigma$ to piecewise-constant functions defined on rectangular domains in two dimensions. We borrow image segmentation techniques to solve the minimization problem. Several experimental results of conductivity reconstruction from synthetic data are shown, with and without noise, that validate the proposed method.

Keywords:

Mathematics Subject Classification: Primary: 35, 49; Secondary: 65.

Citation:

Article Metrics

HTML views() PDF downloads(129) Cited by(0)

A piecewise-constant binary model for electrical impedance tomography

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A piecewise-constant binary model for electrical impedance tomography

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content