A globally accelerated numerical method for optical tomography with continuous wave source

H. Shan; M. V. Klibanov; J. Su; N. Pantong; H. Liu

doi:10.1515/JIIP.2008.048

Article

A globally accelerated numerical method for optical tomography with continuous wave source

H. Shan , M. V. Klibanov , J. Su , N. Pantong and H. Liu

Published/Copyright: January 24, 2008

Published by

Become an author with De Gruyter Brill

Submit Manuscript Author Information Explore this Subject

Journal of Inverse and Ill-posed Problems

From the journal Volume 16 Issue 8

Abstract

A new numerical method for an inverse problem for an elliptic equation with unknown potential is proposed. In this problem the point source is running along a straight line and the source-dependent Dirichlet boundary condition is measured as the data for the inverse problem. A rigorous convergence analysis shows that this method converges globally, provided that the so-called tail function is approximated well. This approximation is verified in numerical experiments, so as the global convergence. Applications to medical imaging, imaging of targets on battlefields and to electrical impedance tomography are discussed.

Key words.: Globally reconstruction algorithm; inverse problems; numerical approximation and analysis; tomography; turbid media; medical and biological imaging

Received: 2008-04-16

Revised: 2008-07-30

Published Online: 2008-01-24

Published in Print: 2008-December

You are currently not able to access this content.

Articles in the same Issue

https://doi.org/10.1515/JIIP.2008.048

Keywords for this article

Globally reconstruction algorithm; inverse problems; numerical approximation and analysis; tomography; turbid media; medical and biological imaging