1 February 1994 Fractional order mean in image processing
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We explore the features of a family of nonlinear filters called the fractional order mean. The median, the mode, and other statistical characteristics belong to this family as particular integer orders. The behavior of these filters in noise suppression in images is investigated. An improved version of these filters, which we call the 8-pixel window mean filter is also explored. In this case, the filtered value of the pixel is compared with its experimental value in the presence of a preset threshold. Noise suppression performance is tested with the usual mean square error (MSE) criterion, with a correlation criterion, and with a new criterion, the mean relative error (MRE). Evidence is found that the MRE correlates better than the MSE with the perceived visual quality of the processed image.
Patricia Laura Torroba, Patricia Laura Torroba, Nelly Lucia Cap, Nelly Lucia Cap, Hector Jorge Rabal, Hector Jorge Rabal, Walter D. Furlan, Walter D. Furlan, "Fractional order mean in image processing," Optical Engineering 33(2), (1 February 1994). https://doi.org/10.1117/12.152006

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