Simplified reconstruction of layered materials in EIT
arXiv:2107.13622 · doi:10.1016/j.aml.2021.107815
Abstract
This short note considerably simplifies a reconstruction method by the author (Comm. PDE, 45(9):1118--1133, 2020), for reconstructing piecewise constant layered conductivities (PCLC) from partial boundary measurements in electrical impedance tomography. Theory from monotonicity-based reconstruction of extreme inclusions eliminates most of the bookkeeping related to multiple components of each layer, and also simplifies the involved test operators. Moreover, the method no longer requires a priori lower and upper bounds to the unknown conductivity values.
arXiv comment4 pages, 1 figure
References in corpus (7)
- Monotonicity based shape reconstruction in electrical impedance tomography
- Resolution Guarantees in Electrical Impedance Tomography
- Uniqueness and Lipschitz stability in Electrical Impedance Tomography with finitely many electrodes
- Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography
- The regularized monotonicity method: detecting irregular indefinite inclusions
- Reconstruction of piecewise constant layered conductivities in electrical impedance tomography
- Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography