Estimation of displacement vectors and strain tensors in elastography using angular insonifications

U. Techavipoo; Q. Chen; T. Varghese; J. A. Zagzebski

doi:10.1109/TMI.2004.835604

Estimation of displacement vectors and strain tensors in elastography using angular insonifications

U. Techavipoo, Q. Chen, T. Varghese, J. A. Zagzebski

Radiation Medicine

Research output: Contribution to journal › Article › peer-review

101 Scopus citations

Abstract

In current practice, only one out of three components of the tissue displacement vector and one of nine components of the strain tensor are accurately estimated and imaged in ultrasound elastography. Since, only the axial component of both the displacement and strain are imaged, other important elastic parameters, such as shear strains and the Poisson's ratio, also are not imaged. Moreover, reconstruction of the Young's modulus would be significantly improved if all components of the strain tensor were available. In this paper, we describe a new method for estimating all the components of the tissue displacement vector following a quasi-static compression. The method uses displacements estimated from radiofrequency echo-signals along multiple ultrasound beam insonification directions. At each spatial location in the compressed medium, orthogonal tissue displacements in both the axial and lateral direction with respect to the direction of the applied compression are estimated by curve fitting angular displacement vector data calculated for all insonification directions. Following displacement estimation in orthogonal directions, components of the corresponding normal and shear strain tensors are estimated. Simulation and experimental results demonstrate the utility of this technique for the computation of the normal and shear strain tensors.

Original language	English
Pages (from-to)	1479-1489
Number of pages	11
Journal	IEEE Transactions on Medical Imaging
Volume	23
Issue number	12
DOIs	https://doi.org/10.1109/TMI.2004.835604
State	Published - Dec 2004

Bibliographical note

Funding Information:
Manuscript received March 5, 2004; revised July 27, 2004. This work was supported in part by the Wisconsin Alumni Research Foundation (WARF) and in part by the National Institutes of Health (NIH) under Grant R21 EB003853 and Grant 1R21EB002722. The work of T. Varghese was supported in part by start-up grant funds from the University of Wisconsin-Madison. The Associate Editor responsible for coordinating the review of this paper and recommending its publication was M. Insana. Asterisk indicates corresponding author.

Funding

Manuscript received March 5, 2004; revised July 27, 2004. This work was supported in part by the Wisconsin Alumni Research Foundation (WARF) and in part by the National Institutes of Health (NIH) under Grant R21 EB003853 and Grant 1R21EB002722. The work of T. Varghese was supported in part by start-up grant funds from the University of Wisconsin-Madison. The Associate Editor responsible for coordinating the review of this paper and recommending its publication was M. Insana. Asterisk indicates corresponding author.

Funders	Funder number
National Institutes of Health (NIH)	1R21EB002722
National Institute of Biomedical Imaging and Bioengineering	R21EB003853
Wisconsin Alumni Research Foundation
University of Wisconsin-Madison

Keywords

Angular strain
Axial strain
Displacement
Elasticity
Elasticity imaging
Elastogram
Elastography
Imaging
Lateral strain
Least squares
Linear model
Poisson's ratio
Shear
Shear strain
Strain

ASJC Scopus subject areas

Software
Radiological and Ultrasound Technology
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TMI.2004.835604

Cite this

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title = "Estimation of displacement vectors and strain tensors in elastography using angular insonifications",

abstract = "In current practice, only one out of three components of the tissue displacement vector and one of nine components of the strain tensor are accurately estimated and imaged in ultrasound elastography. Since, only the axial component of both the displacement and strain are imaged, other important elastic parameters, such as shear strains and the Poisson's ratio, also are not imaged. Moreover, reconstruction of the Young's modulus would be significantly improved if all components of the strain tensor were available. In this paper, we describe a new method for estimating all the components of the tissue displacement vector following a quasi-static compression. The method uses displacements estimated from radiofrequency echo-signals along multiple ultrasound beam insonification directions. At each spatial location in the compressed medium, orthogonal tissue displacements in both the axial and lateral direction with respect to the direction of the applied compression are estimated by curve fitting angular displacement vector data calculated for all insonification directions. Following displacement estimation in orthogonal directions, components of the corresponding normal and shear strain tensors are estimated. Simulation and experimental results demonstrate the utility of this technique for the computation of the normal and shear strain tensors.",

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author = "U. Techavipoo and Q. Chen and T. Varghese and Zagzebski, {J. A.}",

note = "Funding Information: Manuscript received March 5, 2004; revised July 27, 2004. This work was supported in part by the Wisconsin Alumni Research Foundation (WARF) and in part by the National Institutes of Health (NIH) under Grant R21 EB003853 and Grant 1R21EB002722. The work of T. Varghese was supported in part by start-up grant funds from the University of Wisconsin-Madison. The Associate Editor responsible for coordinating the review of this paper and recommending its publication was M. Insana. Asterisk indicates corresponding author.",

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N1 - Funding Information: Manuscript received March 5, 2004; revised July 27, 2004. This work was supported in part by the Wisconsin Alumni Research Foundation (WARF) and in part by the National Institutes of Health (NIH) under Grant R21 EB003853 and Grant 1R21EB002722. The work of T. Varghese was supported in part by start-up grant funds from the University of Wisconsin-Madison. The Associate Editor responsible for coordinating the review of this paper and recommending its publication was M. Insana. Asterisk indicates corresponding author.

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KW - Imaging

KW - Lateral strain

KW - Least squares

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Estimation of displacement vectors and strain tensors in elastography using angular insonifications

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

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