We consider in this paper the problem of reconstructing 3D Computed Tomography images from limited data. The problem is modeled as a nonnegatively constrained minimization problem of very large size. In order to obtain an acceptable image in short time, we propose a scaled gradient projection method, accelerated by exploiting a suitable scaling matrix and efficient rules for the choice of the step-length. In particular, we select the step-length either by alternating Barzilai-Borwein rules or by exploiting a limited number of back gradients for approximating second-order information. Numerical results on a 3D Shepp-Logan phantom are presented and discussed.

A fast gradient projection method for 3D image reconstruction from limited tomographic data / Coli, V. L.; Loli Piccolomini, E.; Morotti, E.; Zanni, L.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 904:1(2017), p. 012013. (Intervento presentato al convegno 7th International Conference on New Computational Methods for Inverse Problems, NCMIP 2017 tenutosi a Ecole Normale Superieure Paris-Saclay, fra nel 2017) [10.1088/1742-6596/904/1/012013].

A fast gradient projection method for 3D image reconstruction from limited tomographic data

Coli, V. L.;Zanni, L.
2017

Abstract

We consider in this paper the problem of reconstructing 3D Computed Tomography images from limited data. The problem is modeled as a nonnegatively constrained minimization problem of very large size. In order to obtain an acceptable image in short time, we propose a scaled gradient projection method, accelerated by exploiting a suitable scaling matrix and efficient rules for the choice of the step-length. In particular, we select the step-length either by alternating Barzilai-Borwein rules or by exploiting a limited number of back gradients for approximating second-order information. Numerical results on a 3D Shepp-Logan phantom are presented and discussed.
2017
7th International Conference on New Computational Methods for Inverse Problems, NCMIP 2017
Ecole Normale Superieure Paris-Saclay, fra
2017
904
012013
Coli, V. L.; Loli Piccolomini, E.; Morotti, E.; Zanni, L.
A fast gradient projection method for 3D image reconstruction from limited tomographic data / Coli, V. L.; Loli Piccolomini, E.; Morotti, E.; Zanni, L.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 904:1(2017), p. 012013. (Intervento presentato al convegno 7th International Conference on New Computational Methods for Inverse Problems, NCMIP 2017 tenutosi a Ecole Normale Superieure Paris-Saclay, fra nel 2017) [10.1088/1742-6596/904/1/012013].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1151205
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