Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography

From MaRDI portal
Publication:5397630

DOI10.1137/120886984zbMath1282.35413arXiv1812.05300OpenAlexW2019354689WikidataQ59895892 ScholiaQ59895892MaRDI QIDQ5397630

Bastian Harrach, Marcel Ullrich

Publication date: 24 February 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05300




Related Items (63)

The factorization method and Capon’s method for random source identification in experimental aeroacousticsMonotonicity-based regularization for shape reconstruction in linear elasticityPropagation and recovery of singularities in the inverse conductivity problemInterpolation of missing electrode data in electrical impedance tomographyLocal uniqueness for an inverse boundary value problem with partial dataMonotonicity-Based Regularization for Phantom Experiment Data in Electrical Impedance TomographyNumerical Studies of Recovery Chances for a Simplified EIT ProblemOn the tangential cone condition for electrical impedance tomographyA Hybrid Segmentation and D-Bar Method for Electrical Impedance TomographyInverse medium scattering for a nonlinear Helmholtz equationMonotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearitiesNonlinear Fourier analysis for discontinuous conductivities: computational resultsComparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizationsSeries reversion in Calderón’s problemThe factorization and monotonicity method for the defect in an open periodic waveguideMimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomographySuperconductive and insulating inclusions for linear and non-linear conductivity equationsDistinguishability Revisited: Depth Dependent Bounds on Reconstruction Quality in Electrical Impedance TomographyReconstruction of singular and degenerate inclusions in Calderón's problemThe Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite OptimizationEnhancing residual-based techniques with shape reconstruction features in electrical impedance tomographySimultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equationDetecting stochastic inclusions in electrical impedance tomographyReconstruction of Cracks in Calderón’s Inverse Conductivity Problem Using Energy ComparisonsImaging of nonlinear materials via the Monotonicity PrincipleImmersed boundary method for the complete electrode model in electrical impedance tomographyResolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methodsMonotonicity-based shape reconstruction for an inverse scattering problem in a waveguideExtracting discontinuity using the probe and enclosure methodsA remark on the local uniqueness by the monotonicity based method for the magnetic Schrödinger equationStable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurementMonotonicity in inverse obstacle scattering on unbounded domainsThe fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problemsMonotonicity and Enclosure Methods for the $p$-Laplace EquationMonotonicity in inverse scattering for Maxwell's equationsA shape optimization approach for electrical impedance tomography with point measurementsReconstruction of piecewise constant layered conductivities in electrical impedance tomographyUniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodesAn inverse boundary value problem for the p -Laplacian: a linearization approachA New Method for the Data Completion Problem and Application to Obstacle DetectionGlobal Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission ProblemMonotonicity-Based Reconstruction of Extreme Inclusions in Electrical Impedance TomographyLow-Frequency Electromagnetic Imaging Using Sensitivity Functions and BeamformingThe regularized monotonicity method: detecting irregular indefinite inclusionsMonotonicity-based electrical impedance tomography for lung imagingLipschitz stability estimate and reconstruction of Lamé parameters in linear elasticityConvergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomographyUniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problemOn Localizing and Concentrating Electromagnetic FieldsMonotonicity in Inverse Medium Scattering on Unbounded DomainsAdaptive reconstruction for electrical impedance tomography with a piecewise constant conductivityMonotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and StabilityDimension Bounds in Monotonicity Methods for the Helmholtz EquationMonotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive PotentialsThe monotonicity method for the inverse crack scattering problemSimplified reconstruction of layered materials in EITRemarks on the factorization and monotonicity method for inverse acoustic scatteringsErratum: Monotonicity in Inverse Medium Scattering on Unbounded DomainsThe monotonicity principle for magnetic induction tomographyShape reconstruction in linear elasticity: standard and linearized monotonicity methodMonotonicity Principle in tomography of nonlinear conducting materials *On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement3D reconstruction for partial data electrical impedance tomography using a sparsity prior




This page was built for publication: Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography