Diffuse optical tomography (DOT) is an emerging imaging technique which uses light for diagnostic purposes in non‐invasive and non‐ionizing way. In this paper, we focus on DOT application to female breast screening, where the surface of the breast is illuminated by light sources and the outgoing light is collected on the surface. The comparison of measured light data with the equivalent field obtained from a relevant mathematical model yields the DOT inverse problem whose solution provides an estimate of the optical coefficients of the tissue. These latter, in turn, can be related to clinical markers for cancer detection. The goal of this work is to propose a mathematical and computational approach tailored to the concept of a DOT imaging device able to perform fast and accurate screenings at an affordable cost. Namely, we address two original points about the crucial issue of the solution of the severely ill‐conditioned DOT inverse problem: i) a computational approach based on Green's functions which do not require the exact knowledge of the tissue geometry, proposed here in the declination of the Method of Fundamental Solutions, which allows to enforce correct boundary conditions; ii) the elastic net regularization technique that shares the desirable properties of both the ℓ2‐ and ℓ1‐norm penalization approaches and opens the possibility for sparsity recognition in the optical coefficients field and refinement procedures.
Mathematical and numerical challenges in optical screening of female breast / P. Causin, M.G. Lupieri, G. Naldi, R.M. Weishaeupl. - In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING. - ISSN 2040-7947. - 36:2(2020 Feb), pp. e3286.1-e3286.16.
|Titolo:||Mathematical and numerical challenges in optical screening of female breast|
CAUSIN, PAOLA (Primo) (Corresponding)
NALDI, GIOVANNI (Penultimo)
|Parole Chiave:||breast screening; elastic net regularization; inverse problems; method of fundamental solutions; optical tomography|
|Settore Scientifico Disciplinare:||Settore MAT/08 - Analisi Numerica|
Settore ING-INF/06 - Bioingegneria Elettronica e Informatica
|Data di pubblicazione:||feb-2020|
|Data ahead of print / Data di stampa:||dic-2019|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1002/cnm.3286|
|Appare nelle tipologie:||01 - Articolo su periodico|