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

Simon Hubmer*, Ekaterina Sherina, Andreas Neubauer, Otmar Scherzer

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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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.
Original languageEnglish
JournalS I A M Journal on Imaging Sciences
Volume11
Issue number2
Pages (from-to)1268-1293
ISSN1936-4954
DOIs
Publication statusPublished - 2018

Keywords

  • Elastography
  • Inverse Problems
  • Nonlinearity condition
  • Linearized elasticity
  • Lamé parameters
  • Parameter identification
  • Landweber iteration

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