Unsupervised, Information-Theoretic, Adaptive Image Filtering for Image Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Principal neighborhood dictionaries for nonlocal means image denoising
IEEE Transactions on Image Processing
The staircasing effect in neighborhood filters and its solution
IEEE Transactions on Image Processing
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In recent years several non-local image denoising methods were proposed in the literature. These methods compute the denoised image as a weighted average of pixels across the whole image (in practice across a large area around the pixel to be denoised). The algorithm non-local means (NLM) proposed by Buades, Morel and Coll showed excellent denoising capabilities. In this case the weight between pixels is based on the similarity between square neighborhoods around them. NLM was a clear breakthrough when it was proposed but then was outperformed by algorithms such as BM3D. The improvements of these algorithms are very clear with respect to NLM but the reasons for such differences are not completely understood. One of the differences between both algorithms is that they use adaptive regions to compute the denoised image. In this article we will study the performance of NLM while using image adapted neighborhoods.