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Superiorization of incremental optimization algorithms for statistical tomographic image reconstruction

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Iop Publishing Ltd

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Abstract

We propose the superiorization of incremental algorithms for tomographic image reconstruction. The resulting methods follow a better path in its way to finding the optimal solution for the maximum likelihood problem in the sense that they are closer to the Pareto optimal curve than the non-superiorized techniques. A new scaled gradient iteration is proposed and three super-iorization schemes are evaluated. Theoretical analysis of the methods as well as computational experiments with both synthetic and real data are provided.

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superiorization, convex optimization, tomographic image reconstruction

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English

Citation

Inverse Problems. Bristol: Iop Publishing Ltd, v. 33, n. 4, 26 p., 2017.

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