Log-elastographic and non-marching full inversion schemes for shear modulus recovery from single frequency elastographic data

DOI10.1088/0266-5611/25/7/075004zbMath1177.35254OpenAlexW2117702352MaRDI QIDQ5191267

Ning Zhang, Kui Lin, Joyce R. McLaughlin

Publication date: 29 July 2009

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d61bdf6885af35334b1fd2e754d9124b4e578cd8

zbMATH Keywords

acoustic wave equation elastography shear stiffness cancer diagnosis log-elastographic nonlinear scheme

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Inverse problems for waves in solid mechanics (74J25)

Related Items (6)

Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement ⋮ Talagrand inequality on free path space and application to stochastic reaction diffusion equations ⋮ Bayesian approach for recovering piecewise constant viscoelasticity from MRE data ⋮ A complex elastographic hyperbolic solver (CEHS) to recover frequency dependent complex shear moduli in viscoelastic models utilizing one or more displacement data-sets ⋮ Levenberg-Marquardt method for solving inverse problem of MRE based on the modified stationary Stokes system ⋮ Uniqueness of the interior plane strain time-harmonic viscoelastic inverse problem

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