A depth-dependent stability estimate in electrical impedance tomography

DOI10.1088/0266-5611/25/7/075001zbMath1172.35514OpenAlexW2057137545MaRDI QIDQ5191264

Gunther Uhlmann, Sei Nagayasu, Jenn-Nan Wang

Publication date: 29 July 2009

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b1276419d2dca04edd1b01d1070f1b05c60ee797

zbMATH Keywords

tomographyelectrical impedanceDirichlet-to-Neumann estimate

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (14)

Numerical methods for the shape reconstruction of electrical anomalies using single or double boundary measurements ⋮ Propagation and recovery of singularities in the inverse conductivity problem ⋮ Numerical implementation for reconstruction of inhomogeneous conductivities via generalized polarization tensors ⋮ Depth dependent resolution in electrical impedance tomography ⋮ Distinguishability Revisited: Depth Dependent Bounds on Reconstruction Quality in Electrical Impedance Tomography ⋮ A depth-dependent stability estimate in an iterative method for solving a Cauchy problem for the Laplace equation ⋮ Refined instability estimates for some inverse problems ⋮ Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors ⋮ Inverse problems: seeing the unseen ⋮ Optimal Depth-Dependent Distinguishability Bounds for Electrical Impedance Tomography in Arbitrary Dimension ⋮ Refined stability estimates in electrical impedance tomography with multi-layer structure ⋮ Resolution and stability analysis in full-aperture, linearized conductivity and wave imaging ⋮ Stability for the Calderón’s problem for a class of anisotropic conductivities via an ad hoc misfit functional ⋮ 30 years of Calderón's problem

This page was built for publication: A depth-dependent stability estimate in electrical impedance tomography