2012
DOI: 10.1117/12.912109
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Nonlocal transform-domain denoising of volumetric data with groupwise adaptive variance estimation

Abstract: We propose an extension of the BM4D volumetric filter to the denoising of data corrupted by spatially nonuniform noise. BM4D implements the grouping and collaborative filtering paradigm, where similar cubes of voxels are stacked into a four-dimensional "group". Each group undergoes a sparsifying four-dimensional transform, that exploits the local correlation among voxels in each cube and the nonlocal correlation between corresponding voxels of different cubes. Thus, signal and noise are effectively separated i… Show more

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Cited by 36 publications
(20 citation statements)
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References 14 publications
(22 reference statements)
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“…To highlight this point we have compared the proposed method with a related recently proposed local noise estimation method (Maggioni and Foi, 2012). This method, based on the Discrete Cosine Transform (DCT), uses high frequency components of a local set of patches to locally estimate the noise level.…”
Section: Spatially Varying Gaussian Noisementioning
confidence: 99%
“…To highlight this point we have compared the proposed method with a related recently proposed local noise estimation method (Maggioni and Foi, 2012). This method, based on the Discrete Cosine Transform (DCT), uses high frequency components of a local set of patches to locally estimate the noise level.…”
Section: Spatially Varying Gaussian Noisementioning
confidence: 99%
“…However noise introduced by OCT propagates through the downscaled I, which may prevent the initial evolution from evolving to fill the hole cavity. Therefore we denoise the I for the smallest scale s 1 using a Wiener filter by [28], [29], which is effective at removing the speckle noise encountered in OCT imaging [30], and the result is shown in Fig. 4a.…”
Section: D Multi-scale Lgdfmentioning
confidence: 99%
“…Recently, some estimation methods have adopted a non-parametric approach to estimate these non-stationary noise maps. These methods do not rely on a specific processing pipeline; the only requirement is that a statistical model has to be adopted for the acquisition noise: Gaussian, (Goossens et al (2006);Pan et al (2012); Aja-Fernández et al (2015); Maggioni and Foi (2012)), Rician (Delakis et al (2007);Liu et al (2014); Aja-Fernández et al (2015); Borrelli et al (2014); Manjón et al (2015)), or nc-χ (Tabelow et al (2015); Pieciak et al (2016)). …”
Section: Introductionmentioning
confidence: 99%