Journal article
The born approximation and Calderón's method for reconstruction of conductivities in 3-D
Abstract
Two algorithms for the direct reconstruction of conductivities in a bounded domain in [\mathbb{R}^3] from surface measurements of the solutions to the conductivity equation are presented. The algorithms are based on complex geometrical optics solutions and a nonlinear scattering transform. We test the algorithms on three numerically simulated examples, including an example with a complex coefficient.
The spatial resolution and amplitude of the examples are well-reconstructed.
| Language: | English |
|---|---|
| Year: | 2011 |
| Pages: | 844-853 |
| ISSN: | 15535231 and 10780947 |
| Types: | Journal article |
| DOI: | 10.3934/proc.2011.2011.844 |
| ORCIDs: | Knudsen, Kim |
