Abstract

This paper deals with image reconstruction using iterative algorithms. The fra me- work under consideration involves large amount of data and/or large ob servation operator. We proposed here algorithms for which we were able to state convergence proofs. The relia- bility and accuracy of the proposed approaches are demonstrated via th ree applications: the positron emission tomography (PET), the parallel magnetic resonance im aging (MRI) and two- dimensional nuclear magnetic resonance (2D NMR).

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