Two effective post-filtering strategies for improving direct sampling methods

DOI10.1080/00036811.2016.1204441zbMath1361.35205OpenAlexW2466154218WikidataQ58249709 ScholiaQ58249709MaRDI QIDQ2968001

Keji Liu

Publication date: 9 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1204441

zbMATH Keywords

direct sampling methodmulti-frequency wavespost-filtering strategies

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)

Related Items (10)

Application of MUSIC algorithm for a fast identification of small perfectly conducting cracks in limited-aperture inverse scattering problem ⋮ Two direct factorization methods for inverse scattering problems ⋮ Detecting buried wave-penetrable scatterers in a two-layered medium ⋮ Improvement of direct sampling method in transverse electric polarization ⋮ Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide ⋮ Direct Imaging of Inhomogeneous Obstacles in a Three-Layered Ocean Waveguide ⋮ Scattering by impenetrable scatterer in a stratified ocean waveguide ⋮ A simple method for detecting scatterers in a stratified ocean waveguide ⋮ A numerical comparison of different qualitative algorithms for solving 2D inverse elastic scattering problems ⋮ A direct sampling method for simultaneously recovering electromagnetic inhomogeneous inclusions of different nature

Cites Work

• Imaging wave-penetrable objects in a finite depth ocean
• A direct sampling method for inverse scattering using far-field data
• A direct sampling method for electrical impedance tomography
• The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
• A direct sampling method to an inverse medium scattering problem
• Generalized dual space indicator method for underwater imaging
• The contrast source inversion method for location and shape reconstructions
• Direct Sampling Method for Diffusive Optical Tomography
• A survey on sampling and probe methods for inverse problems
• A parallel radial bisection algorithm for inverse scattering problems
• A multilevel sampling algorithm for locating inhomogeneous media

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