期刊
SIAM JOURNAL ON APPLIED MATHEMATICS
卷 66, 期 2, 页码 365-383出版社
SIAM PUBLICATIONS
DOI: 10.1137/040612737
关键词
inverse conductivity problem; electrical impedance tomography; unknown boundary; Teichmuller mapping
资金
- Academy of Finland [203985, 72434, 102175]
We show how to eliminate the error caused by an incorrectly modeled boundary in electrical impedance tomography (EIT). In practical measurements, one usually lacks exact knowledge of the boundary. Because of this, the numerical reconstruction from the measured EIT data is done using a model domain that represents the best guess for the true domain. However, it has been noticed that an inaccurate model of the boundary causes severe errors for the reconstructions. We introduce a new algorithm to find a deformed image of the original isotropic conductivity based on the theory of Teichmuller spaces, and we implement it numerically.
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