Direct inversion from partial-boundary data in electrical impedance tomography
From MaRDI portal
Publication:2965691
DOI10.1088/1361-6420/33/2/025009OpenAlexW3101233172MaRDI QIDQ2965691
Matteo Santacesaria, Andreas Hauptmann, Samuli Siltanen
Publication date: 3 March 2017
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01309
inverse conductivity problemNeumann-to-Dirichlet mapelectrical impedance tomographyD-bar methodpartial-boundary data
Related Items
Direct regularized reconstruction for the three-dimensional Calderón problem, The D-bar method for electrical impedance tomography—demystified, A shape optimization approach for electrical impedance tomography with point measurements, 3D electrical impedance tomography reconstructions from simulated electrode data using direct inversion \(\mathbf{t}^{\mathbf{exp}}\) and Calderón methods, A direct D-bar method for partial boundary data electrical impedance tomography with a priori information, Electrical impedance tomography with multiplicative regularization, An adjoint state method for an Schrödinger inverse problem
Cites Work
- Unnamed Item
- Unnamed Item
- Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results
- Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map
- Partial data for the Neumann-to-Dirichlet map
- A global uniqueness theorem for an inverse boundary value problem
- Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
- Global uniqueness for a two-dimensional inverse boundary value problem
- Estimation of conductivity changes in a region of interest with electrical impedance tomography
- Regularized D-bar method for the inverse conductivity problem
- A real-time D-bar algorithm for 2-D electrical impedance tomography data
- A data-driven edge-preserving D-bar method for electrical impedance tomography
- Determining a magnetic Schrödinger operator from partial Cauchy data
- Construction of Indistinguishable Conductivity Perturbations for the Point Electrode Model in Electrical Impedance Tomography
- Reconstruction of Less Regular Conductivities in the Plane
- Local uniqueness for an inverse boundary value problem with partial data
- APPROXIMATING IDEALIZED BOUNDARY DATA OF ELECTRIC IMPEDANCE TOMOGRAPHY BY ELECTRODE MEASUREMENTS
- Stability estimates for the inverse boundary value problem by partial Cauchy data
- Erratum: A nonlinear approach to difference imaging in EIT; assessment of the robustness in the presence of modelling errors (2015 Inverse Problems 31 035012)
- Nonlinear Inversion from Partial EIT Data: Computational Experiments
- Recent progress in the Calderon problem with partial data
- Local detection of three-dimensional inclusions in electrical impedance tomography
- Reconstruction in the Calderón Problem with Partial Data
- The Calderón problem with partial data in two dimensions
- On a spectral transform of a KDV-like equation related to the Schrodinger operator in the plane
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem
- RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
- Stable determination of conductivity by boundary measurements
- Point Measurements for a Neumann-to-Dirichlet Map and the Calderón Problem in the Plane
- D‐Bar Method for Electrical Impedance Tomography with Discontinuous Conductivities
- Probing for electrical inclusions with complex spherical waves
- Sparse 3D reconstructions in electrical impedance tomography using real data
- Stability of the inverse conductivity problem in the plane for less regular conductivities
