English

Convergence Theorems for the Non-Local Means Filter

Applications 2012-11-28 v1

Abstract

In this paper, we establish convergence theorems for the Non-Local Means Filter in removing the additive Gaussian noise. We employ the techniques of "Oracle" estimation to determine the order of the widths of the similarity patches and search windows in the aforementioned filter. We propose a practical choice of these parameters which improve the restoration quality of the filter compared with the usual choice of parameters.

Keywords

Cite

@article{arxiv.1211.6143,
  title  = {Convergence Theorems for the Non-Local Means Filter},
  author = {Qiyu Jin and Ion Grama and Quansheng Liu},
  journal= {arXiv preprint arXiv:1211.6143},
  year   = {2012}
}

Comments

11 pages, 1figures, 3tables

R2 v1 2026-06-21T22:44:29.047Z