The Generalized Linear Sampling Method for Limited Aperture Measurements

DOI10.1137/16M110112XzbMath1397.94005OpenAlexW2570720734MaRDI QIDQ4689631

Houssem Haddar, Lorenzo Audibert

Publication date: 17 October 2018

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m110112x

zbMATH Keywords

factorization methodlinear sampling methodinverse scattering problemsqualitative methodsgeneralized linear sampling method

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Uses Software

• Complex Optimization Toolbox

Cites Work

• Unnamed Item
• Identifying defects in an unknown background using differential measurements
• Qualitative methods in inverse scattering theory. An introduction
• Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators
• Determining the shape of defects in non-absorbing inhomogeneous media from far-field measurements
• Near-field imaging of scattering obstacles with the factorization method
• The linear sampling method in inverse electromagnetic scattering theory
• A simple method for solving inverse scattering problems in the resonance region
• Unconstrained Optimization of Real Functions in Complex Variables
• The factorization method for a defective region in an anisotropic material
• Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions
• A generalized formulation of the linear sampling method with exact characterization of targets in terms of farfield measurements
• Inverse acoustic and electromagnetic scattering theory

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