| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Inst Ciencias Matemat & Comp, Sao Carlos - Brazil
[2] NYU, Sch Med, Ctr Adv Imaging Innovat & Res CAI2R, New York, NY - USA
[3] CUNY, PhD Program Comp Sci, New York, NY 10021 - USA
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | SENSING AND IMAGING; v. 21, n. 1 SEP 5 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
The Fast Proximal Gradient Method (FPGM) and the Monotone FPGM (MFPGM) for minimization of nonsmooth convex functions are introduced and applied to tomographic image reconstruction. Convergence properties of the sequence of objective function values are derived, including a O(1/k(2)) non-asymptotic bound. The presented theory broadens current knowledge and explains the convergence behavior of certain methods that are known to present good practical performance. Numerical experimentation involving computerized tomography image reconstruction shows the methods to be competitive in practical scenarios. Experimental comparison with Algebraic Reconstruction Techniques are performed uncovering certain behaviors of accelerated Proximal Gradient algorithms that apparently have not yet been noticed when these are applied to tomographic image reconstruction. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 16/24286-9 - Computational and theoretical advances in inverse problems with applications to tomographic image reconstruction |
| Grantee: | Elias Salomão Helou Neto |
| Support Opportunities: | Scholarships abroad - Research |