Electrical Impedance Tomography by Elastic Deformation
Copyright policy )Electrical Impedance Tomography by Elastic Deformation
Summary: This paper presents a new algorithm for conductivity imaging. Our idea is to extract more information about the conductivity distribution from data that have been enriched by coupling impedance electrical measurements to localized elastic perturbations. Using asymptotics of the fields in the presence of small volume inclusions, we relate the pointwise values of the energy density to the measured data through a nonlinear PDE. Our algorithm is based on this PDE and takes full advantage of the enriched data. We give numerical examples that illustrate the performance and the accuracy of our approach.
- Laboratoire Jacques-Louis Lions France
- PSL Research University France
- University of Paris France
- Sorbonne University France
- Grenoble Alpes University France
asymptotic formula, Inverse problems for PDEs, reconstruction, 000, Biomedical imaging and signal processing, Composite media; random media in optics and electromagnetic theory, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], substitution algorithm, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Theoretical approximation in context of PDEs, Asymptotic expansions of solutions to PDEs, 510, elastic perturbation, 0-Laplacian, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], electrical impedance tomography
asymptotic formula, Inverse problems for PDEs, reconstruction, 000, Biomedical imaging and signal processing, Composite media; random media in optics and electromagnetic theory, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], substitution algorithm, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Theoretical approximation in context of PDEs, Asymptotic expansions of solutions to PDEs, 510, elastic perturbation, 0-Laplacian, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], electrical impedance tomography
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