Interior elastodynamics inverse problems: Shear wave speed reconstruction in transient elastography

Lin Ji, Joyce R. McLaughlin, Daniel 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
Pages (from-to)S1-S29
JournalInverse Problems
Volume19
Issue number6
DOIs
Publication statusPublished - 1 Dec 2003

    Fingerprint

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

Cite this