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Separation of Scales in Elasticity Imaging: A Numerical Study

Separation of Scales in Elasticity Imaging: A Numerical Study

Year:    2010

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 354–370

Abstract

In magnetic resonance elastography, one seeks to reconstruct the shear modulus from measurements of the displacement field in the whole body. In this paper, we present an optimization approach which solves the problem by simply minimizing a discrepancy functional. In order to recover a complex anomaly in a homogenous medium, we first observe that the information contained in the wavefield should be decomposed into two parts, a "near-field" part in the region around the anomaly and a "far-field" part in the region away from the anomaly. As will be justified both theoretically and numerically, separating these scales provides a local and precise reconstruction.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2009.12-m1001

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 354–370

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Elastography multi-scale imaging anomaly reconstruction.

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