Distinguishability Revisited: Depth Dependent Bounds on Reconstruction Quality in Electrical Impedance Tomography
From MaRDI portal
Publication:5346784
DOI10.1137/16M1072991zbMath1365.35224arXiv1602.03785WikidataQ60548985 ScholiaQ60548985MaRDI QIDQ5346784
Publication date: 29 May 2017
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.03785
Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05)
Related Items
Propagation and recovery of singularities in the inverse conductivity problem ⋮ Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations ⋮ Depth dependent resolution in electrical impedance tomography ⋮ Generalized linearization techniques in electrical impedance tomography ⋮ Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps ⋮ Refined instability estimates for some inverse problems ⋮ The regularized monotonicity method: detecting irregular indefinite inclusions ⋮ Optimal Depth-Dependent Distinguishability Bounds for Electrical Impedance Tomography in Arbitrary Dimension ⋮ Interior decay of solutions to elliptic equations with respect to frequencies at the boundary ⋮ Refined stability estimates in electrical impedance tomography with multi-layer structure
Cites Work
- Unnamed Item
- Unnamed Item
- 3D reconstruction for partial data electrical impedance tomography using a sparsity prior
- Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography
- A global uniqueness theorem for an inverse boundary value problem
- \(n\)-harmonic morphisms in space are Möbius transformations
- Perturbation theory for linear operators.
- Global uniqueness for a two-dimensional inverse boundary value problem
- Uniqueness in Calderón's problem with Lipschitz conductivities
- Calderón's inverse conductivity problem in the plane
- Exponential instability in an inverse problem for the Schrödinger equation
- Partial Data Resolving Power of Conductivity Imaging from Boundary Measurements
- Inverse problems and conformal mapping
- Convex Source Support and Its Application to Electric Impedance Tomography
- APPROXIMATING IDEALIZED BOUNDARY DATA OF ELECTRIC IMPEDANCE TOMOGRAPHY BY ELECTRODE MEASUREMENTS
- Towards a d-bar reconstruction method for three-dimensional EIT
- GLOBAL UNIQUENESS FOR THE CALDERÓN PROBLEM WITH LIPSCHITZ CONDUCTIVITIES
- Conformal mapping and impedance tomography
- Electrical impedance tomography and Calderón's problem
- Inversion algorithms for large-scale geophysical electromagnetic measurements
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Spectral Approximation for Compact Operators
- Electrical Impedance Tomography
- Recent progress in electrical impedance tomography
- Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements
- Linear and Nonlinear Inverse Problems with Practical Applications
- Stable determination of conductivity by boundary measurements
- Electrostatic imaging via conformal mapping
- Resolution-Controlled Conductivity Discretization in Electrical Impedance Tomography
- A depth-dependent stability estimate in electrical impedance tomography
- Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography
- Sparse 3D reconstructions in electrical impedance tomography using real data
