Uniqueness and stability of Lamé parameters in elastography

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Abstract

This paper concerns an hybrid inverse problem involving elastic measurements called Transient Elastography (TE) which enables detection and characterization of tissue abnormalities. In this paper we assume that the displacements are modeled by linear isotropic elasticity system and the tissue displacement has been obtained by the first step in hybrid methods. We reconstruct Lamé parameters of this system from knowledge of the tissue displacement. More precisely, we show that for a sufficiently large number of solutions of the elasticity system and for an open set of the well-chosen boundary conditions, Lamé parameters can be uniquely and stably reconstructed. The set of well-chosen boundary conditions is characterized in terms of appropriate complex geometrical optics solutions.

Original languageEnglish (US)
Pages (from-to)841-877
Number of pages37
JournalJournal of Spectral Theory
Volume4
Issue number4
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

Keywords

  • Elasticity system
  • Inverse problems
  • Lamé parameters

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