A Nonlinear Method for Imaging with Acoustic Waves Via Reduced Order Model Backprojection

DOI10.1137/17M1133580zbMath1401.86006arXiv1704.06974OpenAlexW3104877517WikidataQ118126689 ScholiaQ118126689MaRDI QIDQ4686913

Alexander V. Mamonov, Mikhail Zaslavsky, Vladimir Druskin

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1704.06974

zbMATH Keywords

seismicwave equationmigrationGram-Schmidt orthogonalizationmodel reductionKrylov subspaceimagingblock Cholesky decompositionacousticdata-driven reduced order model

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Interpolation in approximation theory (41A05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (10)

Untangling the nonlinearity in inverse scattering with data-driven reduced order models ⋮ On extension of the data driven ROM inverse scattering framework to partially nonreciprocal arrays ⋮ Numerical wave propagation aided by deep learning ⋮ Estimation of the Born data in inverse scattering of layered media ⋮ Waveform Inversion with a Data Driven Estimate of the Internal Wave ⋮ Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models ⋮ Reduced Order Model Approach to Inverse Scattering ⋮ Lippmann–Schwinger–Lanczos algorithm for inverse scattering problems ⋮ Reduced order models for spectral domain inversion: embedding into the continuous problem and generation of internal data ⋮ Reduced order model approach for imaging with waves

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