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Denoising algorithm based on generalized fractional integral operator with two parameters. (English) Zbl 1244.94007
Summary: A novel digital image denoising algorithm called generalized fractional integral filter is introduced based on the generalized Srivastava-Owa fractional integral operator. The structures of $$n \times n$$ fractional masks of this algorithm are constructed. The denoising performance is measured by employing experiments according to visual perception and PSNR values. The results demonstrate that apart from enhancing the quality of filtered image, the proposed algorithm also reserves the textures and edges present in the image. Experiments also prove that the improvements achieved are competent with the Gaussian smoothing filter.

##### MSC:
 94A08 Image processing (compression, reconstruction, etc.) in information and communication theory 34A08 Fractional ordinary differential equations and fractional differential inclusions
##### Keywords:
denoising algorithm; fractional integral operator
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##### References:
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