Open access
Datum
2015-11Typ
- Journal Article
ETH Bibliographie
no
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Abstract
This paper presents a new iterative reconstruction method to provide high-resolution images of shear modulus and viscosity via the internal measurement of displacement fields in tissues. To solve the inverse problem, we compute the Frechet derivatives of the least-squares discrepancy functional with respect to the shear modulus and shear viscosity. The proposed iterative reconstruction method using this Fr´echet derivative does not require any differentiation of the displacement data for the full isotropic linearly viscoelastic model, whereas the standard algebraic inversion method requires at least double differentiation. Because the minimization problem is ill-posed and highly nonlinear, this adjoint-based optimization method needs a very well-matched initial guess. We find a good initial guess. For a well-matched initial guess, numerical experiments show that the proposed method considerably improves the quality of the reconstructed viscoelastic images. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000111167Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Mathematical Modelling and AnalysisBand
Seiten / Artikelnummer
Verlag
Taylor & FrancisThema
Inverse problem; Viscoelasticity; Ill-posed problem; Reconstruction formulaOrganisationseinheit
09504 - Ammari, Habib / Ammari, Habib
ETH Bibliographie
no
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