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In this paper, we investigate how to determine a better perturbation forsuperiorized iteration. We propose to seek the perturbation by proximal pointmethod. In our method, the direction and amount of perturbation are computedsimultaneously. The convergence conditions are also discussed for boundedperterbation resilence iteration. Numerical experiments on simulated XCTprojection data show that the proposed method improves the convergence rate andthe image quality.

Superiorized iteration based on proximal point method and its application to XCT image reconstruction