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.
Landi, G., Piccolomini, E.L., Nagy, J. (2019). Nonlinear conjugate gradient method for spectral tomosynthesis. INVERSE PROBLEMS, 35(9), 1-16 [10.1088/1361-6420/ab1c94].
Nonlinear conjugate gradient method for spectral tomosynthesis
Landi, G;Piccolomini, E Loli
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2019
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.| File | Dimensione | Formato | |
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