  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.
