Name
Abstract | ||
|---|---|---|
Mathematical interest in electrical impedance tomography has been strong since the publication of Calderon's foundational paper. This paper introduced the idea of applying external voltage patterns to a medium such that, assuming that the medium is sufficiently close to a constant admittivity, the reconstruction can be accomplished directly by inverse Fourier transform. Motivated by Calderon's method, we have developed a variant of the algorithm which is applicable to the case of measurement on only a part of the boundary and on discrete electrodes. Here we determine voltage or current patterns to apply to the electrodes which optimally approximate Calderon's special functions in the interior. Furthermore, in three dimensions and higher, Calderon's method allows each point in Fourier space to be computed in a multiplicity of ways. We show that by making use of the inherent redundancy in our measurements, we can significantly improve the quality of the static images produced by our algorithm. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/TMI.2009.2012892 | Medical Imaging, IEEE Transactions |
Keywords | Field | DocType |
Fourier transforms,biological organs,biomedical electrodes,cancer,electric impedance imaging,image reconstruction,medical image processing,tumours,Calderon method,breast cancer screening,discrete electrode,electrical impedance tomography,image reconstruction,inverse Fourier transform,Breast cancer screening,direct reconstruction,electrode models,image reconstruction,impedance imaging | Frequency domain,Iterative reconstruction,Boundary value problem,Mathematical optimization,Fourier analysis,Special functions,Algorithm,Fourier transform,Redundancy (engineering),Mathematics,Electrical impedance tomography | Journal |
Volume | Issue | ISSN |
28 | 7 | 0278-0062 |
Citations | PageRank | References |
2 | 0.73 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gregory Boverman | 1 | 24 | 6.76 |
| Tzu-Jen Kao | 2 | 35 | 6.57 |
| David Isaacson | 3 | 2 | 0.73 |
| Gary J Saulnier | 4 | 2 | 0.73 |