### Abstract

Transient elastography and supersonic imaging are promising new techniques for characterizing the elasticity of soft tissues. Using this method, an 'ultrafast imaging' system (up to 10 000 frames s^{-1}) 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. Here we develop a fast level set based algorithm for finding the shear wave speed from the interior positions of the propagating front. We compare the performance of level curve methods developed here and our previously developed (McLaughlin J and Renzi D 2006 Shear wave speed recovery in transient elastography and supersonic imaging using propagating fronts Inverse Problems 22 681-706) distance methods. We give reconstruction examples from synthetic data and from data obtained from a phantom experiment accomplished by Mathias Fink's group (the Laboratoire Ondes et Acoustique, ESPCI, Université Paris VII).

Original language | English |
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Pages (from-to) | 707-725 |

Number of pages | 19 |

Journal | Inverse Problems |

Volume | 22 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1 Apr 2006 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

**Using level set based inversion of arrival times to recover shear wave speed in transient elastography and supersonic imaging.** / McLaughlin, Joyce; Renzi, Paul.

Research output: Contribution to journal › Article

*Inverse Problems*, vol. 22, no. 2, pp. 707-725. https://doi.org/10.1088/0266-5611/22/2/019

}

TY - JOUR

T1 - Using level set based inversion of arrival times to recover shear wave speed in transient elastography and supersonic imaging

AU - McLaughlin, Joyce

AU - Renzi, Paul

PY - 2006/4/1

Y1 - 2006/4/1

N2 - Transient elastography and supersonic imaging are promising new techniques for characterizing the elasticity of soft tissues. Using this method, an 'ultrafast imaging' system (up to 10 000 frames s-1) 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. Here we develop a fast level set based algorithm for finding the shear wave speed from the interior positions of the propagating front. We compare the performance of level curve methods developed here and our previously developed (McLaughlin J and Renzi D 2006 Shear wave speed recovery in transient elastography and supersonic imaging using propagating fronts Inverse Problems 22 681-706) distance methods. We give reconstruction examples from synthetic data and from data obtained from a phantom experiment accomplished by Mathias Fink's group (the Laboratoire Ondes et Acoustique, ESPCI, Université Paris VII).

AB - Transient elastography and supersonic imaging are promising new techniques for characterizing the elasticity of soft tissues. Using this method, an 'ultrafast imaging' system (up to 10 000 frames s-1) 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. Here we develop a fast level set based algorithm for finding the shear wave speed from the interior positions of the propagating front. We compare the performance of level curve methods developed here and our previously developed (McLaughlin J and Renzi D 2006 Shear wave speed recovery in transient elastography and supersonic imaging using propagating fronts Inverse Problems 22 681-706) distance methods. We give reconstruction examples from synthetic data and from data obtained from a phantom experiment accomplished by Mathias Fink's group (the Laboratoire Ondes et Acoustique, ESPCI, Université Paris VII).

UR - http://www.scopus.com/inward/record.url?scp=33645281952&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645281952&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/22/2/019

DO - 10.1088/0266-5611/22/2/019

M3 - Article

VL - 22

SP - 707

EP - 725

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 2

ER -