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An efficient quantitative ultrasonic elastography based on variational h‐refinement
Author(s) -
Arnold Alexander,
Mosler Jörn,
Reichling Stefan,
Khaled Walaa,
Bruhns Otto Timme
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810167
Subject(s) - elastography , isotropy , compressibility , shear modulus , stiffness , focus (optics) , inverse problem , inverse , deformation (meteorology) , ultrasound elastography , displacement (psychology) , ultrasonic sensor , work (physics) , materials science , displacement field , mathematical analysis , computer science , mathematics , physics , ultrasound , mechanics , geometry , acoustics , finite element method , thermodynamics , optics , composite material , psychology , psychotherapist
Quantitative elastography is a method to visualise a stiffness distribution. It is motivated by the observation that changes in mechanical properties of soft tissue mostly include important diagnostic information. With an ultrasound–elastography system, the displacement field can be calculated from the pre– and post–deformation image. Using the assumption that the material is elastic, isotropic and nearly incompressible, the distribution of shear modulus is determined by solving an inverse problem. While common approaches use a constant mesh, a variational h–refinement is in the focus of this work. In doing so, the efficiency and accuracy of the determination can be increased. The presented results are generated by using numerical simulations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)