On the Numerical Solution of the Inverse Elastography Problem for Time-harmonic Excitation

Pedro Serranho, Pedro Serranho, Sílvia Barbeiro, Rafael Henriques, Ana Batista, Mário Santos, Carlos Correia, José Domingues, Custódio Loureiro, João Cardoso, Rui Bernardes, Rui Bernardes, Miguel Morgado, Miguel Morgado

2022

Abstract

In this paper we address the numerical solution of the inverse elastography problem, from the knowledge of the excitation field on the boundary and the displacement field in a grid of points within the domain. We suggest using a representation of the solution by the method of fundamental solutions and using a Newton- type method to iteratively approximate the Lamé coefficients of the medium from elastography displacement measurements. We consider a toy model to illustrate the performance of the method.

Paper Citation

in Harvard Style

Serranho P., Barbeiro S., Henriques R., Batista A., Santos M., Correia C., Domingues J., Loureiro C., Cardoso J., Bernardes R. and Morgado M. (2022). On the Numerical Solution of the Inverse Elastography Problem for Time-harmonic Excitation. In Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND, ISBN 978-989-758-563-0, pages 259-264. DOI: 10.5220/0011125900003209

in Bibtex Style

@conference{imaging4ond22,
author={Pedro Serranho and Sílvia Barbeiro and Rafael Henriques and Ana Batista and Mário Santos and Carlos Correia and José Domingues and Custódio Loureiro and João Cardoso and Rui Bernardes and Miguel Morgado},
title={On the Numerical Solution of the Inverse Elastography Problem for Time-harmonic Excitation},
booktitle={Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND,},
year={2022},
pages={259-264},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011125900003209},
isbn={978-989-758-563-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND,
TI - On the Numerical Solution of the Inverse Elastography Problem for Time-harmonic Excitation
SN - 978-989-758-563-0
AU - Serranho P.
AU - Barbeiro S.
AU - Henriques R.
AU - Batista A.
AU - Santos M.
AU - Correia C.
AU - Domingues J.
AU - Loureiro C.
AU - Cardoso J.
AU - Bernardes R.
AU - Morgado M.
PY - 2022
SP - 259
EP - 264
DO - 10.5220/0011125900003209