English

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

Numerical Analysis 2016-08-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1608.03931,
  title  = {Superiorized iteration based on proximal point method and its application to XCT image reconstruction},
  author = {Shousheng Luo and Yanchun Zhang and Tie Zhou and Jinping Song},
  journal= {arXiv preprint arXiv:1608.03931},
  year   = {2016}
}

Comments

22 pages, 10 figures

R2 v1 2026-06-22T15:18:55.692Z