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Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems

Authors
  • Hubmer, Simon
  • Sherina, Ekaterina
  • Neubauer, Andreas
  • Scherzer, Otmar
Publication Date
Jan 01, 2018
Source
Online Research Database In Technology
Keywords
Language
English
License
Unknown
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Abstract

We consider a problem of quantitative static elastography, the estimation of the Lam´e parameters from internal displacement field data. This problem is formulated as a nonlinear operator equation. To solve this equation, we investigate the Landweber iteration both analytically and numerically. The main result of this paper is the verification of a nonlinearity condition in an infinite dimensional Hilbert space context. This condition guarantees convergence of iterative regularization methods. Furthermore, numerical examples for recovery of the Lam´e parameters from displacement data simulating a static elastography experiment are presented.

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