A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2D
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
23/10/2013
23/10/2013
2012
|
| Resumo |
A direct reconstruction algorithm for complex conductivities in W-2,W-infinity(Omega), where Omega is a bounded, simply connected Lipschitz domain in R-2, is presented. The framework is based on the uniqueness proof by Francini (2000 Inverse Problems 6 107-19), 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. National Institute of Biomedical Imaging and Bioengineering [R21EB009508] National Institute of Biomedical Imaging and Bioengineering FAPESP [2008/08739 - 7] FAPESP |
| Identificador |
INVERSE PROBLEMS, BRISTOL, v. 28, n. 9, supl. 1, Part 1, pp. 267-273, SEP, 2012 0266-5611 http://www.producao.usp.br/handle/BDPI/35674 10.1088/0266-5611/28/9/095005 |
| Idioma(s) |
eng |
| Publicador |
IOP PUBLISHING LTD BRISTOL |
| Relação |
INVERSE PROBLEMS |
| Direitos |
restrictedAccess Copyright IOP PUBLISHING LTD |
| Palavras-Chave | #ELECTRICAL-IMPEDANCE TOMOGRAPHY #LESS REGULAR CONDUCTIVITIES #NONSMOOTH CONDUCTIVITIES #BEAM CT #PLANE #BOUNDARY #BREAST #EIT #VALIDATION #UNIQUENESS #MATHEMATICS, APPLIED #PHYSICS, MATHEMATICAL |
| Tipo |
article original article publishedVersion |
