A hybrid one-step inversion method for shear modulus imaging using time-harmonic vibrations

Tae Hwi Lee, Chi Young Ahn, Oh In Kwon, Jin Keun Seo

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We propose a hybrid inversion method for imaging the shear modulus μ in tissue-like subjects using internal measurement of the displacement u induced by an external low-frequency mechanical vibrations made on the boundary of the subject. The proposed method is designed to provide high-resolution imaging in a heterogeneous subject, with no need for an iterative procedure, and deal with the intrinsically noisy displacement data. We recover the shear modulus μ by decomposing it into two components: one is for capturing the main feature of μ using a relatively noise-insensitive inversion method, and the other is to correct the residual caused by the quantity Δμ × Δμ. Numerical simulations show that the proposed method significantly improves reconstructions without requiring boundary conditions.

Original languageEnglish
Article number085014
JournalInverse Problems
Volume26
Issue number8
DOIs
Publication statusPublished - 2010 Aug 1

Fingerprint

Inversion
Modulus
Vibration
Harmonic
Elastic moduli
Imaging
Imaging techniques
Boundary conditions
Tissue
High Resolution Imaging
Computer simulation
Iterative Procedure
Low Frequency
Internal
Numerical Simulation

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

Cite this

@article{03e9e836b40f4a8cb4f0f749869a47e3,
title = "A hybrid one-step inversion method for shear modulus imaging using time-harmonic vibrations",
abstract = "We propose a hybrid inversion method for imaging the shear modulus μ in tissue-like subjects using internal measurement of the displacement u induced by an external low-frequency mechanical vibrations made on the boundary of the subject. The proposed method is designed to provide high-resolution imaging in a heterogeneous subject, with no need for an iterative procedure, and deal with the intrinsically noisy displacement data. We recover the shear modulus μ by decomposing it into two components: one is for capturing the main feature of μ using a relatively noise-insensitive inversion method, and the other is to correct the residual caused by the quantity Δμ × Δμ. Numerical simulations show that the proposed method significantly improves reconstructions without requiring boundary conditions.",
author = "Lee, {Tae Hwi} and Ahn, {Chi Young} and Kwon, {Oh In} and Seo, {Jin Keun}",
year = "2010",
month = "8",
day = "1",
doi = "10.1088/0266-5611/26/8/085014",
language = "English",
volume = "26",
journal = "Inverse Problems",
issn = "0266-5611",
publisher = "IOP Publishing Ltd.",
number = "8",

}

A hybrid one-step inversion method for shear modulus imaging using time-harmonic vibrations. / Lee, Tae Hwi; Ahn, Chi Young; Kwon, Oh In; Seo, Jin Keun.

In: Inverse Problems, Vol. 26, No. 8, 085014, 01.08.2010.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A hybrid one-step inversion method for shear modulus imaging using time-harmonic vibrations

AU - Lee, Tae Hwi

AU - Ahn, Chi Young

AU - Kwon, Oh In

AU - Seo, Jin Keun

PY - 2010/8/1

Y1 - 2010/8/1

N2 - We propose a hybrid inversion method for imaging the shear modulus μ in tissue-like subjects using internal measurement of the displacement u induced by an external low-frequency mechanical vibrations made on the boundary of the subject. The proposed method is designed to provide high-resolution imaging in a heterogeneous subject, with no need for an iterative procedure, and deal with the intrinsically noisy displacement data. We recover the shear modulus μ by decomposing it into two components: one is for capturing the main feature of μ using a relatively noise-insensitive inversion method, and the other is to correct the residual caused by the quantity Δμ × Δμ. Numerical simulations show that the proposed method significantly improves reconstructions without requiring boundary conditions.

AB - We propose a hybrid inversion method for imaging the shear modulus μ in tissue-like subjects using internal measurement of the displacement u induced by an external low-frequency mechanical vibrations made on the boundary of the subject. The proposed method is designed to provide high-resolution imaging in a heterogeneous subject, with no need for an iterative procedure, and deal with the intrinsically noisy displacement data. We recover the shear modulus μ by decomposing it into two components: one is for capturing the main feature of μ using a relatively noise-insensitive inversion method, and the other is to correct the residual caused by the quantity Δμ × Δμ. Numerical simulations show that the proposed method significantly improves reconstructions without requiring boundary conditions.

UR - http://www.scopus.com/inward/record.url?scp=77955392231&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955392231&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/26/8/085014

DO - 10.1088/0266-5611/26/8/085014

M3 - Article

AN - SCOPUS:77955392231

VL - 26

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 8

M1 - 085014

ER -