Superiorized iteration based on proximal point method and its   application to XCT image reconstruction
  In this paper, we investigate how to determine a better perturbation for superiorized iteration. We propose to seek the perturbation by proximal point method. In our method, the direction and amount of perturbation are computed simultaneously. The convergence conditions are also discussed for bounded perterbation resilence iteration. Numerical experiments on simulated XCT projection data show that the proposed method improves the convergence rate and the image quality. 
Shousheng Luo and Yanchun Zhang and Tie Zhou and Jinping Song
math.NA