Reconstruct Lame parameters of linear isotropic elasticity system

摘要

Transient Elastography enables detection and characterization of tissueabnormalities. In this paper we assume that the displacements are modeled bylinear isotropic elasticity system and the tissue displacement has beenobtained by the first step in hybrid methods. Then we reconstruct the Lam\'eparameters of this system from knowledge of tissue displacement. We show thatfor a sufficiently large number of solutions of the elasticity system and foran open set of the well-chosen boundary conditions, $(\lambda,\mu)$ can beuniquely and stably reconstructed. The set of well-chosen boundary conditionsis characterized in terms of appropriate complex geometrical optics solutions.