Lamé Parameters Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse ProblemsMS12

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) .

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