Quantitative Elastography is an imaging modality mapping biomechanical parameters of tissues. The problem of estimating Lamé parameters from full internal static displacement field measurements is formulated as a nonlinear operator equation. The Fréchet derivative and the adjoint of the nonlinear operator are derived. The main theoretical result is the verification of a nonlinearity condition guaranteeing convergence of iterative regularization methods. Furthermore, numerical examples for recovery of the Lamé parameters from simulated displacement data are presented.

This presentation is part of Minisymposium “MS12 - New directions in hybrid data tomography (2 parts)”
organized by: Kim Knudsen (Technical University of Denmark) , Cong Shi (Georg-August-Universität Göttingen) .

Authors:

Ekaterina Sherina (Technical University of Denmark)

Simon Hubmer (Johannes Kepler University Linz)

Andreas Neubauer (Johannes Kepler University Linz)

Otmar Scherzer (Computational Science Center, University of Vienna)

Keywords:

elastography, image reconstruction, inverse problems, lame parameters, linearized elasticity, nonlinearity condition, parameter identification