Crack reconstruction using a level-set strategy

DOI10.1016/j.jcp.2009.04.038zbMath1173.78309OpenAlexW2016031804MaRDI QIDQ834118

Diego Álvarez, Miguel Moscoso, Natalia Irishina, Oliver Dorn

Publication date: 19 August 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.04.038

zbMATH Keywords

electrical impedance tomographycrack reconstructionlevel-sets

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (26)

MUSIC-type imaging of perfectly conducting cracks in limited-view inverse scattering problems ⋮ Topological derivative for imaging of thin electromagnetic inhomogeneity: least condition of incident directions ⋮ Application of MUSIC algorithm for a fast identification of small perfectly conducting cracks in limited-aperture inverse scattering problem ⋮ A regularization method based on level sets and augmented Lagrangian for parameter identification problems with piecewise constant solutions ⋮ Identification of Voids in Structures Based on Level Set Method and FEM ⋮ Analysis of multi-frequency subspace migration weighted by natural logarithmic function for fast imaging of two-dimensional thin, arc-like electromagnetic inhomogeneities ⋮ Fast identification of short, linear perfectly conducting cracks in a bistatic measurement configuration ⋮ The use of a simple model in the inverse characterization of cardiac ischemic regions ⋮ Performance analysis of multi-frequency topological derivative for reconstructing perfectly conducting cracks ⋮ Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: a model study ⋮ Topological derivative strategy for one-step iteration imaging of arbitrary shaped thin, curve-like electromagnetic inclusions ⋮ Identification of multiple cracks in 2D elasticity by means of the reciprocity principle and cluster analysis ⋮ Adaptive meshing approach to identification of cracks with electrical impedance tomography ⋮ Analysis of a multi-frequency electromagnetic imaging functional for thin, crack-like electromagnetic inclusions ⋮ Multi-frequency topological derivative for approximate shape acquisition of curve-like thin electromagnetic inhomogeneities ⋮ The factorization method for cracks in electrical impedance tomography ⋮ Colour level set regularization for the electromagnetic imaging of highly discontinuous parameters in 3D ⋮ An approach based on level set method for void identification of continuum structure with time-domain dynamic response ⋮ Level Set Methods for Structural Inversion and Image Reconstruction ⋮ Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks in full- and limited-view inverse scattering problems ⋮ Direct sampling method for retrieving small perfectly conducting cracks ⋮ Topological derivative-based technique for imaging thin inhomogeneities with few incident directions ⋮ The pixel-based quadtree SBFEM with the parameter level set method for identifying cracks and voids ⋮ Fast electromagnetic imaging of thin inclusions in half-space affected by random scatterers ⋮ Asymptotic properties of MUSIC-Type Imaging in Two-Dimensional Inverse Scattering from Thin Electromagnetic Inclusions ⋮ A regularization method based on level-sets for the problem of crack detection from electrical measurements

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