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

作者：Hubmer Simon^*; Sherina Ekaterina^*; Neubauer Andreas; Scherzer Otmar

来源：SIAM Journal on Imaging Sciences, 2018, 11(2): 1268-1293.

DOI：10.1137/17M1154461

• elastography
• inverse problems
• nonlinearity condition
• linearized elasticity
• Lame parameters
• parameter identification
• Landweber iteration

We consider a problem of quantitative static elastography, the estimation of the Lame 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 Lame parameters from displacement data simulating a static elastography experiment are presented.

• 出版日期2018