Space variant median filters for the restoration of impulse noise corrupted images

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Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization (2005, methodology): “Let us emphasize that Step 1 of our method can be realized by any reliable impulse noise detector, such as the multistate median filter [6] or the improved detector [18], etc.”
An Efficient TVL1 Algorithm for Deblurring Multichannel Images Corrupted by Impulsive Noise (2009, background): “, the adaptive median filter [30], the multistate median filter [18], and the median filter based on homogeneity information [23, 41].”
A New Directional Weighted Median Filter for Removal of Random-Valued Impulse Noise (2007, background): “Based on the noise values, it can be classified as the easier-to-restore salt-and-pepper noise and the more difficult random-valued impulse noise [1].”