Nonlinear conjugate gradient method for spectral tomosynthesis. (20th August 2019)

• Record Type: Journal Article
• Authors: Landi, G; Piccolomini, E Loli; Nagy, J
• Is Part Of: Inverse problems. Volume 35:Number 9(2019)
• Publication Date: 2019-08-20
• Subjects: nonlinear conjugate gradient method -- nonlinear least squares -- spectral tomography -- digital breast tomosynthesis -- total variation regularization; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ab1c94
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Image reconstruction in spectral digital breast tomosynthesis (DBT) requires solving a large-scale nonlinear inverse problem. Most numerical approaches on real data used a simplified linear (and hence incorrect) mathematical model to reduce the computational costs. The aim of this paper is to consider the use of a nonlinear conjugate gradient method for very large-scale nonlinear least squares problems, and apply it to spectral DBT. Numerical experiments on 3-dimensional phantom images illustrate the effectiveness and efficiency of the proposed scheme.