Journal article · Preprint article
Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems
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.
Language: | English |
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Publisher: | Society for Industrial and Applied Mathematics |
Year: | 2018 |
Pages: | 1268-1293 |
ISSN: | 19364954 |
Types: | Journal article and Preprint article |
DOI: | 10.1137/17M1154461 |