Diffuse optical tomography (DOT) is an emerging diagnostic technique which uses near-infra-red light to investigate the optical coefficients distribution in biological tissues. The surface of the tissue is illuminated by light sources, then the outgoing light is measured by detectors placed at various locations on the surface itself. In order to reconstruct the optical coefficients, a mathematical model of light propagation is employed: such model leads to the minimization of the discrepancy between the detected data and the corresponding theoretical field. Due to severe ill-conditioning, regularization techniques are required: common procedures consider mainly ℓ 1-norm (LASSO) and ℓ 2-norm (Tikhonov) regularization. In the present work we investigate two original approaches in this context: The elastic-net regularization, previously used in machine learning problems, and the Bregman procedure. Numerical experiments are performed on synthetic 2D geometries and data, to evaluate the performance of these approaches. The results show that these techniques are indeed suitable choices for practical applications, where DOT is used as a cheap, first-level and almost real-Time screening technique for breast cancer detection.

Regularization Techniques for Inverse Problem in DOT Applications / A. Benfenati, P. Causin, M. Lupieri, G. Naldi. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 1476:1(2020 Mar 18). ((Intervento presentato al 9. convegno NCMIP 2019 : International Conference on New Computational Methods for Inverse Problems : 24 May tenutosi a Paris (France) nel 2019 [10.1088/1742-6596/1476/1/012007].

Regularization Techniques for Inverse Problem in DOT Applications

A. Benfenati
Primo
;
P. Causin
Secondo
;
G. Naldi
Ultimo
2020

Abstract

Diffuse optical tomography (DOT) is an emerging diagnostic technique which uses near-infra-red light to investigate the optical coefficients distribution in biological tissues. The surface of the tissue is illuminated by light sources, then the outgoing light is measured by detectors placed at various locations on the surface itself. In order to reconstruct the optical coefficients, a mathematical model of light propagation is employed: such model leads to the minimization of the discrepancy between the detected data and the corresponding theoretical field. Due to severe ill-conditioning, regularization techniques are required: common procedures consider mainly ℓ 1-norm (LASSO) and ℓ 2-norm (Tikhonov) regularization. In the present work we investigate two original approaches in this context: The elastic-net regularization, previously used in machine learning problems, and the Bregman procedure. Numerical experiments are performed on synthetic 2D geometries and data, to evaluate the performance of these approaches. The results show that these techniques are indeed suitable choices for practical applications, where DOT is used as a cheap, first-level and almost real-Time screening technique for breast cancer detection.
Settore MAT/08 - Analisi Numerica
Ecole normale superieure Paris-SaclayCachan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/722519
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