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Interior elastodynamics inverse prob...

Renzi, Daniel.

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Interior elastodynamics inverse problems: Shear wave speed recovery in transient elastography using level set based inversion of arrival times.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interior elastodynamics inverse problems: Shear wave speed recovery in transient elastography using level set based inversion of arrival times./
Author:	Renzi, Daniel.
Description:	94 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0784.
Contained By:	Dissertation Abstracts International65-02B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3123006
ISBN:	049670320X

Interior elastodynamics inverse problems: Shear wave speed recovery in transient elastography using level set based inversion of arrival times.
Renzi, Daniel.

Interior elastodynamics inverse problems: Shear wave speed recovery in transient elastography using level set based inversion of arrival times. - 94 p.

Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0784.

Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2004.

Transient Elastography is a promising new technique for characterizing the elasticity of soft tissues, Using this method, an "ultrafast imaging" system (up to 10,000 frames/s) follows in real time the propagation of a low frequency shear wave. The displacement of the propagating shear wave is measured as a function of time and space. Assuming a wave equation model, we establish that Lipschitz continuous arrival times of the shear wave satisfy the Eikonal equation, which is only a first order partial differential equation. We first develop techniques to find the arrival time surface given the displacement data from a transient elastography experiment, We then propose a family of methods to solve the inverse Eikonal equation: Given the arrival times of a propagating wave, find the wave speed. Combining the techniques for finding the arrival times and the methods for solving the inverse Eikonal equation results in a complete algorithm for shear wave speed recovery. We use this algorithm to generate wave speed recoveries on synthetic data, and give a reconstruction example using a phantom experiment accomplished by Mathias Fink's group (the Laboratoire Ondes et Acoustique, ESPCI, Universite Paris VII).

ISBN: 049670320XSubjects--Topical Terms:

515831
Mathematics.

Interior elastodynamics inverse problems: Shear wave speed recovery in transient elastography using level set based inversion of arrival times.
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035 $a AAI3123006
040 $a UnM $c UnM
100 1 $a Renzi, Daniel. $3 1936709
245 1 0 $a Interior elastodynamics inverse problems: Shear wave speed recovery in transient elastography using level set based inversion of arrival times.
300 $a 94 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0784.
500 $a Adviser: Joyce McLaughlin.
502 $a Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2004.
520 $a Transient Elastography is a promising new technique for characterizing the elasticity of soft tissues, Using this method, an "ultrafast imaging" system (up to 10,000 frames/s) follows in real time the propagation of a low frequency shear wave. The displacement of the propagating shear wave is measured as a function of time and space. Assuming a wave equation model, we establish that Lipschitz continuous arrival times of the shear wave satisfy the Eikonal equation, which is only a first order partial differential equation. We first develop techniques to find the arrival time surface given the displacement data from a transient elastography experiment, We then propose a family of methods to solve the inverse Eikonal equation: Given the arrival times of a propagating wave, find the wave speed. Combining the techniques for finding the arrival times and the methods for solving the inverse Eikonal equation results in a complete algorithm for shear wave speed recovery. We use this algorithm to generate wave speed recoveries on synthetic data, and give a reconstruction example using a phantom experiment accomplished by Mathias Fink's group (the Laboratoire Ondes et Acoustique, ESPCI, Universite Paris VII).
590 $a School code: 0185.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mechanics. $3 1018410
690 $a 0405
690 $a 0346
710 2 0 $a Rensselaer Polytechnic Institute. $3 1019062
773 0 $t Dissertation Abstracts International $g 65-02B.
790 1 0 $a McLaughlin, Joyce, $e advisor
790 $a 0185
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3123006