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

Pedro Serranho; Pedro Serranho; Sílvia Barbeiro; Rafael Henriques; Ana Batista; Mário J. Santos; Carlos Correia; José P. Domingues; Custódio Loureiro; João M. R. Cardoso; Rui Bernardes; Rui Bernardes; Miguel Morgado; Miguel Morgado

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Paper

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

Topics: Elastography

In Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND, 259-264, 2022 , Prague, Czech Republic

Authors: Pedro Serranho ^{1

;

2} ; Sílvia Barbeiro ³ ; Rafael Henriques ³ ; Ana Batista ¹ ; Mário J. Santos ⁴ ; Carlos Correia ¹ ; José P. Domingues ⁵ ; Custódio Loureiro ⁵ ; João M. R. Cardoso ⁵ ; Rui Bernardes ^{1

;

6} and Miguel Morgado ^{1

;

5}

Affiliations: ¹ Coimbra Institute for Biomedical Image and Translational Research, Faculty of Medicine, University of Coimbra, Edifício do ICNAS, Polo 3 Azinhaga de Santa Comba 3000-548, Coimbra, Portugal ; ² Department of Science and Technology, Universidade Aberta, Rua da Escola Politécnica, 147, 1269-001, Lisbon, Portugal ; ³ University of Coimbra, CMUC - Center of Mathematics, Department of Mathematics, Apartado 3008, EC Santa Cruz, 3001-501, Coimbra, Portugal ; ⁴ University of Coimbra, Department of Electrical and Computer Engineering, Faculty of Science and Technology, Pólo II, 3030-290, Coimbra, Portugal ; ⁵ Department of Physics, University of Coimbra, Rua Larga, 3004-516, Coimbra, Portugal ; ⁶ University of Coimbra, CACC-Clinical Academic Center of Coimbra, Faculty of Medicine (FMUC), Coimbra, Portugal

Keyword(s): Numerical Methods, Method of Fundamental Solutions, Elastography, Optical Coherence Elastography.

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.

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Paper citation in several formats:

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 - Imaging4OND; ISBN 978-989-758-563-0; ISSN 2795-4943, SciTePress, pages 259-264. DOI: 10.5220/0011125900003209

@conference{imaging4ond22,
author={Pedro Serranho. and Sílvia Barbeiro. and Rafael Henriques. and Ana Batista. and Mário J. Santos. and Carlos Correia. and José P. Domingues. and Custódio Loureiro. and João M. R. 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 - Imaging4OND},
year={2022},
pages={259-264},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011125900003209},
isbn={978-989-758-563-0},
issn={2795-4943},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Imaging4OND
TI - On the Numerical Solution of the Inverse Elastography Problem for Time-harmonic Excitation
SN - 978-989-758-563-0
IS - 2795-4943
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
PB - SciTePress