An Analysis and Implementation of the BM3D Image Denoising Method

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Communicated by Jean-Michel morel
Demo edited by Miguel Colom

Abstract

BM3D is a recent denoising method based on the fact that an image has a locally sparse representation in transform domain. This sparsity is enhanced by grouping similar 2D image patches into 3D groups. In this paper we propose an open-source implementation of the method. We discuss the choice of all parameter methods and confirm their actual optimality. The description of the method is rewritten with a a more transparent notation that in the original paper. A final index gives nonetheless the correspondence between the new notation and the original notation.

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• source code: TAR/GZ SWHID info
  Software Heritage Archive @softwareversion{sw-ipol.2012.l-bm3d, title = {{An Analysis and Implementation of the BM3D Image Denoising Method}}, author = {Marc Lebrun}, date = {2011-01-01}, license = {GPL-3.0-or-later}, version = {1.0}, swhid = {swh:1:dir:5674f24f792da2f8dc2797f87d2a958e9707b34f;origin=https://doi.org/10.5201/ipol.2012.l-bm3d;visit=swh:1:snp:be6b2fd6b4dd1086bd99189dce79b359cb25b58d;anchor=swh:1:rev:970b00f6839b713cfbd9682c2b04a5971cea88e6}, related = {ipol.2012.l-bm3d}, relatedtype = "Reference article: https://doi.org/10.5201/ipol.2012.l-bm3d" } % the biblatex-software style extension is recommended for software bibitems
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History

• the original source code was modified on 2020-11-23 to include the possibility to denoise with the given STD parameter without re-noising the input image. The original version of the code is available here
• the README file of the source code was updated on 2021-02-20. The previous version of the code is available here
• Note from the editor: the manuscript of the article was modified on 2022-01-01 to include information about its editors. The original version of the manuscript is available here.