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2010

From Local Kernel to Nonlocal Multiple-Model Image Denoising

9 years 25 days ago
From Local Kernel to Nonlocal Multiple-Model Image Denoising
Abstract We review the evolution of the nonparametric regression modeling in imaging from the local Nadaraya-Watson kernel estimate to the nonlocal means and further to transform-domain Þltering based on nonlocal block-matching. The considered methods are classiÞed mainly according to two main features: local/nonlocal and pointwise/multipoint. Here nonlocal is an alternative to local, and multipoint is an alternative to pointwise. These alternatives, though obvious simpliÞcations, allow to impose a fruitful and transparent classiÞcation of the basic ideas in the advanced techniques. Within this framework, we introduce a novel single- and multiplemodel transform domain nonlocal approach. The Block Matching and 3-D Filtering (BM3D) algorithm, which is currently one of the best performing denoising algorithms, is treated as a special case of the latter approach.
Vladimir Katkovnik, Alessandro Foi, Karen Egiazari
Added 27 Jan 2011
Updated 27 Jan 2011
Type Journal
Year 2010
Where IJCV
Authors Vladimir Katkovnik, Alessandro Foi, Karen Egiazarian, Jaakko Astola
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