A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D

Details A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D

2012-02-08

arxiv.org/abs/1202.1785v1

Mathematics

Analysis of PDEs

Scientific paper

A direct reconstruction algorithm for complex conductivities in $W^{2,\infty}(\Omega)$, where $\Omega$ is a bounded, simply connected Lipschitz domain in $\mathbb{R}^2$, is presented. The framework is based on the uniqueness proof by Francini [Inverse Problems {\textbf 20} 2000], but equations relating the Dirichlet-to-Neumann to the scattering transform and the exponentially growing solutions are not present in that work, and are derived here. The algorithm constitutes the first D-bar method for the reconstruction of conductivities and permittivities in two dimensions. Reconstructions of numerically simulated chest phantoms with discontinuities at the organ boundaries are included.

Affiliated with

Also associated with

No associations

Rating

A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65243