Uniqueness and stability of Lamé parameters in elastography

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 rst step in hybrid methods. We reconstruct Lamé parameters of this system from knowledge of the tissue displacement. More precisely, we show that for a suciently 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. e set of well-chosen boundary conditions is characterized in terms of appropriate complex geometrical optics solutions.