Interior elastodynamics inverse problems

Shear wave speed reconstruction in transient elastography

Lin Ji, Joyce R. McLaughlin, Paul Renzi, Jeong Rock Yoon

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

We review and present new results on the transient elastography problem, where the goal is to reconstruct shear stiffness properties using interior time and space dependent displacement measurements. We present the unique identifiability of two parameters for this inverse problem, establish that a Lipschitz continuous arrival time satisfies the eikonal equation, and present two numerical algorithms, simulation results, and a reconstruction example using a phantom experiment accomplished by Mathias Fink's group (the Laboratoire Ondes et Acoustique, ESPCI, Université Paris VII). One numerical algorithm uses a geometrical optics expansion and the other utilizes the arrival time surface.

Original languageEnglish
JournalInverse Problems
Volume19
Issue number6
DOIs
Publication statusPublished - 1 Dec 2003
Externally publishedYes

Fingerprint

elastodynamics
Arrival Time
Elastodynamics
Shear waves
Wave Speed
Inverse problems
Numerical Algorithms
S waves
Inverse Problem
Interior
Eikonal Equation
Displacement Measurement
Geometrical optics
Geometrical Optics
Displacement measurement
arrivals
Identifiability
Phantom
eikonal equation
Lipschitz

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Interior elastodynamics inverse problems : Shear wave speed reconstruction in transient elastography. / Ji, Lin; McLaughlin, Joyce R.; Renzi, Paul; Yoon, Jeong Rock.

In: Inverse Problems, Vol. 19, No. 6, 01.12.2003.

Research output: Contribution to journalArticle

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